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University of Utah,
Department of Mathematics, 110 LCB,
155 S 1400 E RM 233,
Salt Lake City, UT 84112-0090, USA,
Tel: +1 801 581 5254,
FAX: +1 801 581 4148,
e-mail: \path|[email protected]|,
\path|[email protected]|,
\path|[email protected]| (Internet),
URL: \path|https://www.math.utah.edu/~beebe/|"}
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@Article{Olver:1946:NPH,
author = "F. W. J. Olver",
title = "Note on a paper of {H. Bateman}",
journal = j-J-APPL-PHYS,
volume = "17",
number = "12",
pages = "1127",
month = dec,
year = "1946",
CODEN = "JAPIAU",
DOI = "https://doi.org/10.1063/1.1707687",
ISSN = "0021-8979 (print), 1089-7550 (electronic), 1520-8850",
ISSN-L = "0021-8979",
MRclass = "65.0X",
MRnumber = "19993",
MRreviewer = "L. J. Comrie",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
note = "Correction of numerical errors in
\cite{Bateman:1946:SIE}.",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "Journal of Applied Physics",
journal-URL = "http://aip.scitation.org/toc/jap/current",
received = "30 September 1946",
}
@Article{Olver:1949:TCS,
author = "F. W. J. Olver",
title = "Transformation of certain series occurring in
aerodynamic interference calculations",
journal = j-QUART-J-MECH-APPLIED-MATH,
volume = "2",
pages = "452--457",
year = "1949",
CODEN = "QJMMAV",
DOI = "https://doi.org/10.1093/qjmam/2.4.452",
ISSN = "0033-5614 (print), 1464-3855 (electronic)",
ISSN-L = "0033-5614",
MRclass = "40.0X",
MRnumber = "33358",
MRreviewer = "R. P. Boas",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "The Quarterly Journal of Mechanics and Applied
Mathematics",
journal-URL = "http://qjmam.oxfordjournals.org/content/by/year",
}
@Article{Olver:1950:NME,
author = "F. W. J. Olver",
title = "A new method for the evaluation of zeros of {Bessel}
functions and of other solutions of second-order
differential equations",
journal = j-PROC-CAMBRIDGE-PHIL-SOC,
volume = "46",
number = "4",
pages = "570--580",
year = "1950",
CODEN = "PCPSA4",
DOI = "https://doi.org/10.1017/S030500410002613X",
ISSN = "0008-1981",
ISSN-L = "0008-1981",
MRclass = "65.0X",
MRnumber = "37609",
MRreviewer = "John Todd",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "Proceedings of the Cambridge Philosophical Society",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=PSP",
}
@Article{Clenshaw:1951:NNA,
author = "C. W. Clenshaw and F. W. J. Olver",
title = "Notes on Numerical Analysis---3: Solution of
Differential Equations by Recurrence Relations (in
Automatic Computing Machinery; Discussions)",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "5",
number = "33",
pages = "34--39",
month = jan,
year = "1951",
CODEN = "MTTCAS",
DOI = "https://doi.org/10.1090/S0025-5718-51-99443-4",
ISSN = "0891-6837 (print), 2326-4853 (electronic)",
ISSN-L = "0891-6837",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1950.bib;
JSTOR database",
acknowledgement = ack-nhfb,
author-dates = "Charles William Clenshaw (15 March 1926--23 September
2004); Frank William John Olver (15 December 1924--23
April 2013)",
fjournal = "Mathematical Tables and Other Aids to Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Olver:1951:FME,
author = "F. W. J. Olver",
title = "A further method for the evaluation of zeros of
{Bessel} functions and some new asymptotic expansions
for zeros of functions of large order",
journal = j-PROC-CAMBRIDGE-PHIL-SOC,
volume = "47",
number = "4",
pages = "699--712",
month = oct,
year = "1951",
CODEN = "PCPSA4",
DOI = "https://doi.org/10.1017/S0305004100027158",
ISSN = "0008-1981",
ISSN-L = "0008-1981",
MRclass = "65.0X",
MRnumber = "43551",
MRreviewer = "John Todd",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "Proceedings of the Cambridge Philosophical Society",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=PSP",
}
@Article{Olver:1952:EZH,
author = "F. W. J. Olver",
title = "The evaluation of zeros of high-degree polynomials",
journal = j-PHILOS-TRANS-R-SOC-LOND-SER-A,
volume = "244",
number = "885",
pages = "385--415",
month = apr,
year = "1952",
CODEN = "PTRMAD, PTMSFB",
DOI = "https://doi.org/10.1098/rsta.1952.0010",
ISSN = "0080-4614 (print), 2054-0272 (electronic)",
ISSN-L = "1364-503X",
MRclass = "65.0X",
MRnumber = "49652",
MRreviewer = "J. C. P. Miller",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "Philosophical Transactions of the Royal Society of
London. Series A. Mathematical and Physical Sciences",
journal-URL = "http://rsta.royalsocietypublishing.org/",
}
@Article{Olver:1952:SNA,
author = "F. W. J. Olver",
title = "Some new asymptotic expansions for {Bessel} functions
of large orders",
journal = j-PROC-CAMBRIDGE-PHIL-SOC,
volume = "48",
number = "3",
pages = "414--427",
month = jul,
year = "1952",
CODEN = "PCPSA4",
DOI = "https://doi.org/10.1017/S030500410002781X",
ISSN = "0008-1981",
ISSN-L = "0008-1981",
MRclass = "33.0X",
MRnumber = "48638",
MRreviewer = "F. Oberhettinger",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "Proceedings of the Cambridge Philosophical Society",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=PSP",
}
@Article{Olver:1953:NAE,
author = "F. W. J. Olver",
title = "Note on the asymptotic expansion of generalized
hypergeometric functions",
journal = j-J-LOND-MATH-SOC,
volume = "28",
number = "4",
pages = "462--464",
month = oct,
year = "1953",
CODEN = "JLMSAK",
DOI = "https://doi.org/10.1112/jlms/s1-28.4.462",
ISSN = "0024-6107 (print), 1469-7750 (electronic)",
ISSN-L = "0024-6107",
MRclass = "33.0X",
MRnumber = "56749",
MRreviewer = "A. Erd{\'e}lyi",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "The Journal of the London Mathematical Society",
journal-URL = "http://jlms.oxfordjournals.org/content/by/year",
}
@Article{Olver:1954:AEB,
author = "F. W. J. Olver",
title = "The asymptotic expansion of {Bessel} functions of
large order",
journal = j-PHILOS-TRANS-R-SOC-LOND-SER-A,
volume = "247",
pages = "328--368",
year = "1954",
CODEN = "PTRMAD, PTMSFB",
DOI = "https://doi.org/10.1098/rsta.1954.0021",
ISSN = "0080-4614 (print), 2054-0272 (electronic)",
ISSN-L = "1364-503X",
MRclass = "33.0X",
MRnumber = "67250",
MRreviewer = "N. D. Kazarinoff",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "Philosophical Transactions of the Royal Society of
London. Series A. Mathematical and Physical Sciences",
journal-URL = "http://rsta.royalsocietypublishing.org/",
}
@InProceedings{Olver:1954:AEL,
author = "F. W. J. Olver",
editor = "????",
booktitle = "Proceedings of the International Congress of
Mathematicians",
title = "The asymptotic expansion of {Legendre} functions of
large order. {Abstract}",
volume = "2",
publisher = pub-NORTH-HOLLAND,
address = pub-NORTH-HOLLAND:adr,
pages = "152--152",
year = "1954",
bibdate = "Tue Nov 07 06:51:58 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Olver:1954:ASL,
author = "F. W. J. Olver",
title = "The asymptotic solution of linear differential
equations of the second order for large values of a
parameter",
journal = j-PHILOS-TRANS-R-SOC-LOND-SER-A,
volume = "247",
pages = "307--327",
year = "1954",
CODEN = "PTRMAD, PTMSFB",
DOI = "https://doi.org/10.1098/rsta.1954.0020",
ISSN = "0080-4614 (print), 2054-0272 (electronic)",
ISSN-L = "1364-503X",
MRclass = "33.0X",
MRnumber = "67249",
MRreviewer = "N. D. Kazarinoff",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "Philosophical Transactions of the Royal Society of
London. Series A. Mathematical and Physical Sciences",
journal-URL = "http://rsta.royalsocietypublishing.org/",
}
@Article{Clenshaw:1955:UEP,
author = "C. W. Clenshaw and Frank W. J. Olver",
title = "The use of economized polynomials in mathematical
tables",
journal = j-PROC-CAMBRIDGE-PHIL-SOC,
volume = "51",
number = "4",
pages = "614--628",
month = oct,
year = "1955",
CODEN = "PCPSA4",
DOI = "https://doi.org/10.1017/S0305004100030693",
ISSN = "0008-1981",
ISSN-L = "0008-1981",
MRclass = "65.1X",
MRnumber = "73304",
MRreviewer = "John Todd",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
author-dates = "Charles William Clenshaw (15 March 1926--23 September
2004); Frank William John Olver (15 December 1924--23
April 2013)",
fjournal = "Proceedings of the Cambridge Philosophical Society",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=PSP",
}
@Article{Olver:1956:ASL,
author = "F. W. J. Olver",
title = "The asymptotic solution of linear differential
equations of the second order in a domain containing
one transition point",
journal = j-PHILOS-TRANS-R-SOC-LOND-SER-A,
volume = "249",
pages = "65--97",
year = "1956",
CODEN = "PTRMAD, PTMSFB",
DOI = "https://doi.org/10.1098/rsta.1956.0015",
ISSN = "0080-4614 (print), 2054-0272 (electronic)",
ISSN-L = "1364-503X",
MRclass = "34.0X",
MRnumber = "79157",
MRreviewer = "N. D. Kazarinoff",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "Philosophical Transactions of the Royal Society of
London. Series A. Mathematical and Physical Sciences",
journal-URL = "http://rsta.royalsocietypublishing.org/",
}
@Article{Olver:1956:EAS,
author = "F. W. J. Olver",
title = "Errors in asymptotic solutions of linear ordinary
differential equations",
journal = j-QUART-APPL-MATH,
volume = "14",
pages = "218--219",
year = "1956",
CODEN = "QAMAAY",
DOI = "https://doi.org/10.1090/qam/78520",
ISSN = "0033-569X (print), 1552-4485 (electronic)",
ISSN-L = "0033-569X",
MRclass = "34.0X",
MRnumber = "78520",
MRreviewer = "N. D. Kazarinoff",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "Quarterly of Applied Mathematics",
journal-URL = "http://dl.acm.org/citation.cfm?id=J641;
http://www.ams.org/journals/qam",
}
@Book{Fox:1957:MCM,
author = "L. Fox and E. T. Goodwin and J. G. L. Michel and F. W.
J. Olver and J. H. Wilkinson",
title = "Modern Computing Methods",
volume = "16",
publisher = pub-HMSO,
address = pub-HMSO:adr,
pages = "vi + 128",
year = "1957",
LCCN = "QA297 .T4",
bibdate = "Tue Nov 07 08:00:14 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib",
series = "Notes on applied science",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013); James H. Wilkinson (27 September 1919--5 October
1986)",
xxnote = "TO DO: Check author order",
}
@Article{Olver:1958:UAE,
author = "F. W. J. Olver",
title = "Uniform asymptotic expansions of solutions of linear
second-order differential equations for large values of
a parameter",
journal = j-PHILOS-TRANS-R-SOC-LOND-SER-A,
volume = "250",
pages = "479--517",
year = "1958",
CODEN = "PTRMAD, PTMSFB",
DOI = "https://doi.org/10.1098/rsta.1958.0005",
ISSN = "0080-4614 (print), 2054-0272 (electronic)",
ISSN-L = "1364-503X",
MRclass = "34.00",
MRnumber = "94496",
MRreviewer = "T. M. Cherry",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "Philosophical Transactions of the Royal Society of
London. Series A. Mathematical and Physical Sciences",
journal-URL = "http://rsta.royalsocietypublishing.org/",
}
@Article{Olver:1959:LDE,
author = "F. W. J. Olver",
title = "Linear differential equations of the second order with
a large parameter",
journal = j-J-SIAM,
volume = "7",
number = "3",
pages = "306--310",
month = sep,
year = "1959",
CODEN = "JSIMAV",
DOI = "https://doi.org/10.1137/0107024",
ISSN = "0368-4245 (print), 2168-3484 (electronic)",
ISSN-L = "0368-4245",
MRclass = "34.00",
MRnumber = "114976",
MRreviewer = "T. M. Cherry",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/siam.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "Journal of the Society for Industrial and Applied
Mathematics",
journal-URL = "http://epubs.siam.org/loi/smjmap.1",
}
@Article{Olver:1959:UAE,
author = "F. W. J. Olver",
title = "Uniform asymptotic expansions for {Weber} parabolic
cylinder functions of large orders",
journal = j-J-RES-NATL-BUR-STAND-B,
volume = "63B",
pages = "131--169",
year = "1959",
CODEN = "JNBBAU",
DOI = "https://doi.org/10.6028/jres.063B.014",
ISSN = "0022-4340",
MRclass = "33.00",
MRnumber = "109898",
MRreviewer = "N. D. Kazarinoff",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "Journal of Research of the National Bureau of
Standards. Section B. Mathematics and Mathematical
Physics",
journal-URL = "http://www.nist.gov/nvl/jrespastpapers.cfm",
}
@Article{Ursell:1959:ORC,
author = "F. Ursell and F. W. J. Olver",
title = "Obituary: {Roger Chapman Thorne}",
journal = j-J-AUSTRALIAN-MATH-SOC,
volume = "1",
number = "2",
pages = "255--256",
month = feb,
year = "1959/61",
CODEN = "JAUMAX",
DOI = "https://doi.org/10.1017/S144678870002560X",
ISSN = "0004-9735 (print), 2059-9234 (electronic)",
MRclass = "01.00",
MRnumber = "109781",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
ajournal = "J. Austral. Math. Soc.",
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "Journal of the Australian Mathematical Society",
}
@Book{Clenshaw:1961:MCM,
author = "C. W. Clenshaw and E. T. Goodwin and D. W. Martin and
G. F. Miller and F. W. J. Olver and J. H. Wilkinson",
title = "Modern Computing Methods",
volume = "16",
publisher = pub-HMSO,
address = pub-HMSO:adr,
edition = "Second",
pages = "vi + 170",
year = "1961",
LCCN = "QA297 .T4 1961",
bibdate = "Tue Nov 07 08:00:14 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib",
series = "National Physical Laboratory. Notes on Applied
Science",
acknowledgement = ack-nhfb,
author-dates = "Charles William Clenshaw (15 March 1926--23 September
2004); Frank William John Olver (15 December 1924--23
April 2013); James H. Wilkinson (27 September 1919--5
October 1986)",
remark = "Reprinted in 1962.",
xxnote = "TO DO: Check author order",
}
@Article{Olver:1961:EBL,
author = "F. W. J. Olver",
title = "Error bounds for the {Liouville--Green} (or {WKB})
approximation",
journal = j-PROC-CAMBRIDGE-PHIL-SOC,
volume = "57",
number = "4",
pages = "790--810",
month = oct,
year = "1961",
CODEN = "PCPSA4",
DOI = "https://doi.org/10.1017/S0305004100035945",
ISSN = "0008-1981",
ISSN-L = "0008-1981",
MRclass = "34.50",
MRnumber = "130452",
MRreviewer = "Walter Gautschi",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "Proceedings of the Cambridge Philosophical Society",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=PSP",
}
@Article{Olver:1961:TIP,
author = "F. W. J. Olver",
title = "Two inequalities for parabolic cylinder functions",
journal = j-PROC-CAMBRIDGE-PHIL-SOC,
volume = "57",
number = "4",
pages = "811--822",
month = oct,
year = "1961",
CODEN = "PCPSA4",
DOI = "https://doi.org/10.1017/S0305004100035957",
ISSN = "0008-1981",
ISSN-L = "0008-1981",
MRclass = "33.25",
MRnumber = "131580",
MRreviewer = "N. D. Kazarinoff",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "Proceedings of the Cambridge Philosophical Society",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=PSP",
}
@PhdThesis{Olver:1961:U,
author = "Frank William John Olver",
title = "[unknown]",
type = "{D.Sc.} dissertation",
school = "Queen Mary University of London",
address = "London, UK",
year = "1961",
bibdate = "Sat Nov 04 17:39:57 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
URL = "https://discover.libraryhub.jisc.ac.uk/search?author=Olver%2C%20F&date=1961&rn=1",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
remark = "Collection of 20 published papers.",
}
@Book{Olver:1962:TBF,
author = "F. W. J. Olver",
title = "Tables for {Bessel} Functions of Moderate or Large
Orders",
volume = "6",
publisher = pub-HMSO,
address = pub-HMSO:adr,
pages = "iii + 51",
year = "1962",
MRclass = "65.05 (33.25)",
MRnumber = "147676",
MRreviewer = "I. A. Stegun",
bibdate = "Tue Nov 07 08:32:10 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
series = "National Physical Laboratory Mathematical Tables",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Olver:1963:EBF,
author = "F. W. J. Olver",
title = "Error Bounds for First Approximations in Turning-Point
Problems",
journal = j-J-SIAM,
volume = "11",
number = "3",
pages = "748--772",
month = sep,
year = "1963",
CODEN = "JSIMAV",
DOI = "https://doi.org/10.1137/0111057",
ISSN = "0368-4245 (print), 2168-3484 (electronic)",
ISSN-L = "0368-4245",
MRclass = "34.50",
MRnumber = "160981",
MRreviewer = "N. D. Kazarinoff",
bibdate = "Thu Oct 15 18:16:06 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/siam.bib; JSTOR
database",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "Journal of the Society for Industrial and Applied
Mathematics",
journal-URL = "http://epubs.siam.org/loi/smjmap.1",
}
@Article{Olver:1963:RPS,
author = "F. W. J. Olver",
title = "Recent Publications: {{\booktitle{A Survey of
Numerical Analysis}}}",
journal = j-AMER-MATH-MONTHLY,
volume = "70",
number = "2",
pages = "224--225",
month = feb,
year = "1963",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2312919",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "99-04",
MRnumber = "1532039",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
}
@InCollection{Olver:1964:BFI,
author = "F. W. J. Olver",
title = "{Bessel} Functions of Integer Order",
crossref = "Abramowitz:1964:HMF",
pages = "355--434",
year = "1964",
bibdate = "Sat Oct 30 19:37:56 2010",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
citedby = "Fullerton:1980:BEM",
}
@Article{Olver:1964:EAM,
author = "F. W. J. Olver",
title = "Error analysis of {Miller}'s recurrence algorithm",
journal = j-MATH-COMPUT,
volume = "18",
number = "85",
pages = "65--74",
year = "1964",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2003406",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "65.80",
MRnumber = "169406",
MRreviewer = "J. C. P. Miller",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@InProceedings{Olver:1964:EBAa,
author = "F. W. J. Olver",
title = "Error bounds for asymptotic expansions, with an
application to cylinder functions of large argument",
crossref = "Wilcox:1964:ASD",
pages = "163--183",
year = "1964",
bibdate = "Tue Nov 07 06:57:41 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Olver:1964:EBAb,
author = "F. W. J. Olver",
title = "Error Bounds for Asymptotic Expansions in
Turning-Point Problems",
journal = j-J-SIAM,
volume = "12",
number = "1",
pages = "200--214",
month = mar,
year = "1964",
CODEN = "JSIMAV",
DOI = "https://doi.org/10.1137/0112019",
ISSN = "0368-4245 (print), 2168-3484 (electronic)",
ISSN-L = "0368-4245",
MRclass = "34.50",
MRnumber = "163003",
MRreviewer = "N. D. Kazarinoff",
bibdate = "Thu Oct 15 18:16:06 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/siam.bib; JSTOR
database",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "Journal of the Society for Industrial and Applied
Mathematics",
journal-URL = "http://epubs.siam.org/loi/smjmap.1",
}
@Article{Olver:1965:ASS,
author = "F. W. J. Olver",
title = "On the asymptotic solution of second-order
differential equations having an irregular singularity
of rank one, with an application to {Whittaker}
functions",
journal = j-SIAM-J-NUM-ANALYSIS-B,
volume = "2",
number = "2",
pages = "225--243",
month = jan,
year = "1965",
DOI = "https://doi.org/10.1137/0702017",
ISSN = "0887-459X (print), 2168-3581 (electronic)",
ISSN-L = "0887-459X",
MRclass = "41.50 (33.00)",
MRnumber = "185350",
MRreviewer = "T. E. Hull",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
ajournal = "J. Soc. Indust. Appl. Math. Ser. B Numer. Anal.",
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "Journal of the Society for Industrial and Applied
Mathematics. Series B. Numerical Analysis",
journal-URL = "http://epubs.siam.org/loi/sjnaam.1",
}
@Article{Olver:1965:BRR,
author = "F. W. J. Olver",
title = "Book Review: {A. R. Curtis, \booktitle{Coulomb Wave
Functions}, Royal Society Mathematical Tables, Volume
11, Cambridge University Press, New York, 1964, xxxv +
209 pp.}",
journal = j-MATH-COMPUT,
volume = "19",
number = "90",
pages = "341--342",
month = apr,
year = "1965",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.1090/S0025-5718-65-99950-3",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Tue Nov 07 09:52:32 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
URL = "https://www.ams.org/journals/mcom/1965-19-090/S0025-5718-65-99950-3/S0025-5718-65-99950-3.pdf",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Olver:1965:EAPa,
author = "F. W. J. Olver",
title = "Error analysis of phase-integral methods. {II}.
{Application} to wave-penetration problems",
journal = j-J-RES-NATL-BUR-STAND-B,
volume = "69B",
pages = "291--300",
year = "1965",
CODEN = "JNBBAU",
DOI = "https://doi.org/10.6028/jres.069B.029",
ISSN = "0022-4340",
MRclass = "34.06",
MRnumber = "198683",
MRreviewer = "A. Dou",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "Journal of Research of the National Bureau of
Standards. Section B. Mathematics and Mathematical
Physics",
journal-URL = "http://www.nist.gov/nvl/jrespastpapers.cfm",
}
@Article{Olver:1965:EAPb,
author = "F. W. J. Olver",
title = "Error analysis of phase-integral methods. {I}.
{General} theory for simple turning points",
journal = j-J-RES-NATL-BUR-STAND-B,
volume = "69B",
pages = "271--290",
year = "1965",
CODEN = "JNBBAU",
DOI = "https://doi.org/10.6028/jres.069B.028",
ISSN = "0022-4340",
MRclass = "34.06 (34.50)",
MRnumber = "196167",
MRreviewer = "W. Wasow",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "Journal of Research of the National Bureau of
Standards. Section B. Mathematics and Mathematical
Physics",
journal-URL = "http://www.nist.gov/nvl/jrespastpapers.cfm",
}
@InProceedings{Olver:1965:EBAa,
author = "F. W. J. Olver",
title = "Error bounds for asymptotic expansions of special
functions in the complex plane",
crossref = "Rall:1965:EDCb",
pages = "55--75",
year = "1965",
MRclass = "41.50 (34.00)",
MRnumber = "186992",
MRreviewer = "A. Erd{\'e}lyi",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Olver:1965:EBAb,
author = "F. W. J. Olver and F. Stenger",
title = "Error Bounds for Asymptotic Solutions of Second-Order
Differential Equations having an Irregular Singularity
of Arbitrary Rank",
journal = j-SIAM-J-NUM-ANALYSIS-B,
volume = "2",
number = "2",
pages = "244--249",
month = "????",
year = "1965",
CODEN = "????",
DOI = "https://doi.org/10.1137/0702018",
ISSN = "0887-459X (print), 2168-3581 (electronic)",
ISSN-L = "0887-459X",
MRclass = "41.50 (34.00)",
MRnumber = "MR0185351 (32 \#2819)",
bibdate = "Fri Oct 16 06:57:22 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stenger-frank.bib;
https://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Math/siamjnumeranal.bib;
https://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Math/SIAMJNUMERANAL/siamjnumeranal.bib;
https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
JSTOR database",
URL = "http://links.jstor.org/sici?sici=0887-459X(1965)2:2<244:EBFASO>2.0.CO%3B2-N",
ZMnumber = "0173.34001",
acknowledgement = ack-nhfb,
ajournal = "J. Soc. Indust. Appl. Math. Ser. B Numer. Anal.",
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "Journal of the Society for Industrial and Applied
Mathematics. Series B. Numerical Analysis",
journal-URL = "http://epubs.siam.org/loi/sjnaam.1",
ORCID-numbers = "Stenger, Frank/0000-0002-2947-3018",
}
@InProceedings{Olver:1966:ESF,
author = "F. W. J. Olver",
editor = "????",
booktitle = "Proceedings of {IFIP Congress 65}",
title = "Evaluation of special functions",
volume = "2",
publisher = "Spartan Books",
address = "Washington, DC, USA",
pages = "604--605",
year = "1966",
bibdate = "Tue Nov 07 07:04:05 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Book{Bauer:1967:DA,
author = "Friedrich L. Bauer and Alston S. Householder and Frank
W. J. Olver and Heinz Rutishauser and Klaus Samelson
and Eduard Stiefel",
title = "Description of {ALGOL 60}",
volume = "1a",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xii + 326",
year = "1967",
DOI = "https://doi.org/10.1007/978-3-642-86934-1;
https://doi.org/10.1007/978-3-662-38103-8",
ISBN = "3-540-03826-4, 3-642-86934-3 (e-book), 3-642-86936-X
(print), 3-662-38103-6",
ISBN-13 = "978-3-540-03826-9, 978-3-642-86934-1 (e-book),
978-3-642-86936-5 (print), 978-3-662-38103-8",
LCCN = "QA76.5 .R87",
bibdate = "Fri Aug 21 08:00:06 MDT 2020",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/authors/b/bauer-friedrich-ludwig.bib;
https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
series = "Handbook for Automatic Computation",
URL = "http://link.springer.com/article/10.1007/978-3-642-86934-1;
http://www.springerlink.com/content/978-3-642-86934-1",
abstract = "Automatic computing has undergone drastic changes
since the pioneering days of the early Fifties, one of
the most obvious being that today the majority of
computer programs are no longer written in machine code
but in some programming language like FORTRAN or ALGOL.
However, as desirable as the time-saving achieved in
this way may be, still a high proportion of the
preparatory work must be attributed to activities such
as error estimates, stability investigations and the
like, and for these no programming aid whatsoever can
be of help. In this respect, ALGOL, as an
internationally standardized notation which avoids
computer-oriented concepts, provides another advantage,
not often mentioned, but one which was already the
guiding principle at the very beginning of the
programming language venture: indeed, a correct ALGOL
program is the abstractum of a computing process for
which the necessary analyses have already been
performed. It is the very purpose of this Handbook to
establish such abstract formulations of certain
computing processes. Therefore, numerical methods given
in this Handbook in the form of ALGOL procedures may be
put to immediate use wherever ALGOL is known and
understood; in fact, application of such a method
reduces to little more than calling the corresponding
procedure.",
acknowledgement = ack-nhfb,
author-dates = "Alston Scott Householder (1904--1993); Frank William
John Olver (15 December 1924--23 April 2013); Friedrich
(``Fritz'') Ludwig Bauer (10 June 1924--26 March
2015)",
tableofcontents = "IL Introduction \\
1. The Concept of Automatic Programming \\
2. Historical Remarks on Algorithmic Languages \\
3. The Algol Conferences of 1958, 1960, 1962 \\
4. Algol Dialects and the IFIP Subset of Algol 60 \\
5. Preliminary Definition of Algol \\
II: Basic Concepts \\
6. Auxiliary Conventions \\
7. The Basic Symbols of Algol \\
8. Values \\
9. Quantities and their Names \\
10. Numerical Constants \\
11. Labels \\
12. Strings \\
13. Comments \\
III: Expressions \\
14. Variables \\
15. Function Designators \\
16. Simple Arithmetic Expressions \\
17. Relations \\
18. Simple Boolean Expressions \\
19. Conditional Expressions \\
20. Subscript Expressions \\
IV: Statements \\
21. Assignment Statements \\
22. Sequences of Statements \\
23. Labelled Statements \\
24. The Dummy Statement \\
25. Goto-Statements \\
26. Procedure Statements I \\
27. Compound Statements and Blocks \\
28. The If-Statement \\
29. The If-Else-Statement \\
30. The For-Statement \\
V: Miscellaneous Applications \\
31. Algebraic Problems \\
32. Interpolation and Numerical Quadrature \\
33. Numerical Integration of Differential Equations \\
34. Least Square Problems \\
35. Computations Related to Continued Fractions \\
36. Considerations Concerning Computer Limitations \\
37. Data Processing Applications \\
VI: Declarations \\
38. Type Declarations \\
39. Array Declarations \\
40. Switch Declarations \\
41. Procedure Declarations I \\
42. Semantics of Blocks \\
43. Entire Programs \\
VII: Procedures \\
44. Procedure Declarations II \\
45. Procedure Statements II \\
46. Function Procedures and their Use \\
47. Code Procedures \\
48. Parameter Procedures \\
VIII: Input and Output \\
49. The Standard I/O-Procedures of Algol \\
50. Applications of Procedures insymbol, outsymbol \\
51. Use of inarray, outarray for Auxiliary Storage \\
Appendix A \\
52. The Jensen Device \\
52.1. The full name-concept \\
52.2. The Jensen device \\
52.3. Bound variables \\
53. Conclusion \\
53.1. Church's lambda notation \\
53.2. The lambda notation for arrays \\
53.3. Syntax of the proposed extension \\
53.4. Semantics of the proposed extension \\
53.5. Applications of the proposed extension \\
Appendix B. The IFIP-Reports on Algol \\
References",
xxseries = "Die Grundlehren der mathematischen Wissenschaften",
}
@Article{Olver:1967:BRA,
author = "F. W. J. Olver",
title = "Book Review: {{\booktitle{Asymptotic Expansions}}, by
H. A. Lauwerier: Mathematisch Centrum, Amsterdam,
1966}",
journal = j-QUART-APPL-MATH,
volume = "25",
number = "1",
pages = "117--117",
year = "1967",
CODEN = "QAMAAY",
ISSN = "0033-569X (print), 1552-4485 (electronic)",
ISSN-L = "0033-569X",
bibdate = "Tue Nov 07 09:57:29 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
URL = "https://www.ams.org/journals/qam/1967-25-01/qam-25-1-print-matter.pdf",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "Quarterly of Applied Mathematics",
journal-URL = "http://dl.acm.org/citation.cfm?id=J641;
http://www.ams.org/journals/qam",
remark = "Article is missing from journal Web site, and thus,
has no DOI. The PDF file, however, has the text.",
}
@Article{Olver:1967:BSS,
author = "F. W. J. Olver",
title = "Bounds for the solutions of second-order linear
difference equations",
journal = j-J-RES-NATL-BUR-STAND-B,
volume = "71B",
pages = "161--166",
year = "1967",
CODEN = "JNBBAU",
DOI = "https://doi.org/10.6028/jres.071B.021",
ISSN = "0022-4340",
MRclass = "65.70",
MRnumber = "229407",
MRreviewer = "Charles William Clenshaw",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "Journal of Research of the National Bureau of
Standards. Section B. Mathematics and Mathematical
Physics",
journal-URL = "http://www.nist.gov/nvl/jrespastpapers.cfm",
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
}
@Article{Olver:1967:EMA,
author = "F. W. J. Olver",
title = "An extension of {Miller}'s algorithm",
journal = j-APL-MAT,
volume = "13",
pages = "174--176",
year = "1967",
CODEN = "APMTAK",
ISSN = "0373-6725",
MRclass = "65.70 (39.00)",
MRnumber = "228207",
MRreviewer = "Walter Gautschi",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "{\v{C}}eskoslovensk{\'a} Akademie V{\v{e}}d. Aplikace
Matematiky",
}
@Article{Olver:1967:NSS,
author = "F. W. J. Olver",
title = "Numerical solution of second-order linear difference
equations",
journal = j-J-RES-NATL-BUR-STAND-B,
volume = "71B",
number = "2--3",
pages = "111--129",
month = apr,
year = "1967",
CODEN = "JNBBAU",
DOI = "https://doi.org/10.6028/jres.071B.018",
ISSN = "0022-4340",
MRclass = "65.70",
MRnumber = "221789",
MRreviewer = "G. N. Lance",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
URL = "https://nvlpubs.nist.gov/nistpubs/jres/71B/jresv71Bn2-3p111_A1b.pdf",
abstract = "A new algorithm is given for computing the solution of
any second-order linear difference equation which is
applicable when simple recurrence procedures cannot be
used because of instability. Compared with the
well-known Miller algorithm the new method has the
advantages of (i) automatically determining the correct
number of recurrence steps. (ii) applying to
inhomogeneous difference equations, (iii) enabling more
powerful error analyses to be constructed.\par
The method is illustrated by numerical computations,
including error analyses of Anger--Weber, Struve, and
Bessel functions, and the solution of a differential
equation in Chebyshev series",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "Journal of Research of the National Bureau of
Standards. Section B. Mathematics and Mathematical
Physics",
journal-URL = "http://www.nist.gov/nvl/jrespastpapers.cfm",
keywords = "Chebyshev series; difference equations; error
analysis; Miller algorithm. recurrence methods; special
functions",
}
@Article{Olver:1968:EBL,
author = "F. W. J. Olver",
title = "Error bounds for the {Laplace} approximation for
definite integrals",
journal = j-J-APPROX-THEORY,
volume = "1",
pages = "293--313",
year = "1968",
CODEN = "JAXTAZ",
DOI = "https://doi.org/10.1016/0021-9045(68)90007-5",
ISSN = "0021-9045 (print), 1096-0430 (electronic)",
ISSN-L = "0021-9045",
MRclass = "41.50",
MRnumber = "234183",
MRreviewer = "L. Berg",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "Journal of Approximation Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/00219045",
}
@Book{Fox:1970:MCM,
author = "L. Fox and E. T. Goodwin and J. G. L. Michel and F. W.
J. Olver and J. H. Wilkinson",
title = "Modern Computing Methods",
volume = "16",
publisher = pub-HMSO,
address = pub-HMSO:adr,
edition = "Second",
pages = "vii + 169",
year = "1970",
ISBN = "0-11-480021-9",
ISBN-13 = "978-0-11-480021-5",
LCCN = "QA297 .T4 1970",
bibdate = "Wed Nov 15 11:52:41 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/f/fox-leslie.bib;
https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib",
series = "NPL Notes on Applied Science",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013); James H. Wilkinson (27 September 1919--5 October
1986); Leslie Fox (30 September 1918--1 August 1992)",
subject = "Numerical analysis; Equations; Numerical solutions;
Computers; Analyse num{\'e}rique; {\'E}quations;
Solutions num{\'y}eriques; Ordinateurs",
tableofcontents = "TO DO: find this!",
}
@Article{Olver:1970:PA,
author = "F. W. J. Olver",
title = "A paradox in asymptotics",
journal = j-SIAM-J-MATH-ANA,
volume = "1",
number = "4",
pages = "533--534",
month = nov,
year = "1970",
CODEN = "SJMAAH",
DOI = "https://doi.org/10.1137/0501047",
ISSN = "0036-1410 (print), 1095-7154 (electronic)",
ISSN-L = "0036-1410",
MRclass = "41.50",
MRnumber = "277976",
MRreviewer = "L. Hoischen",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "SIAM Journal on Mathematical Analysis",
journal-URL = "http://epubs.siam.org/sima",
}
@Article{Olver:1970:WSDa,
author = "F. W. J. Olver",
title = "Why steepest descents?",
journal = j-SIAM-REVIEW,
volume = "12",
pages = "228--247",
year = "1970",
CODEN = "SIREAD",
DOI = "https://doi.org/10.1137/1012044",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
MRclass = "41.50",
MRnumber = "259456",
MRreviewer = "L. Berg",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "SIAM Review. A Publication of the Society for
Industrial and Applied Mathematics",
journal-URL = "http://epubs.siam.org/sirev",
}
@InProceedings{Olver:1970:WSDb,
author = "F. W. J. Olver",
title = "Why steepest descents?",
crossref = "Ludwig:1970:SAM",
pages = "44--63",
year = "1970",
bibdate = "Tue Nov 07 04:59:35 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
remark = "Reprint of \cite{Olver:1970:WSDa}.",
}
@Article{Olver:1972:BRS,
author = "Frank W. J. Olver",
title = "Book Review: {{\booktitle{The Special Functions and
Their Approximations}} (Vols. I {\&} II Yudell L.
Luke)}",
journal = j-SIAM-REVIEW,
volume = "14",
number = "1",
pages = "181--183",
month = "????",
year = "1972",
CODEN = "SIREAD",
DOI = "https://doi.org/10.1137/1014020",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
bibdate = "Thu Mar 27 09:06:35 MDT 2014",
bibsource = "http://epubs.siam.org/toc/siread/14/1;
https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "SIAM Review",
journal-URL = "http://epubs.siam.org/sirev",
onlinedate = "January 1972",
}
@Article{Olver:1972:NBR,
author = "F. W. J. Olver and D. J. Sookne",
title = "Note on Backward Recurrence Algorithms",
journal = j-MATH-COMPUT,
volume = "26",
number = "120",
pages = "941--947",
month = oct,
year = "1972",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2005879",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "65Q05 (33A40)",
MRnumber = "331826",
MRreviewer = "Walter Gautschi",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib;
JSTOR database",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
classcodes = "B0290Z (Other numerical methods); C4190 (Other
numerical methods)",
corpsource = "Univ. Maryland, College Park, MD, USA",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "backward recurrence algorithms; Bessel; Bessel
functions; difference equations; functions; recessive
solution; second order linear difference equation",
treatment = "T Theoretical or Mathematical",
}
@InCollection{Olver:1974:AM,
author = "F. W. J. Olver",
editor = "C. E. Pearson",
booktitle = "Handbook of Applied Mathematics",
title = "Asymptotic methods",
publisher = pub-VAN-NOSTRAND-REINHOLD,
address = pub-VAN-NOSTRAND-REINHOLD:adr,
pages = "645--710",
year = "1974",
bibdate = "Tue Nov 07 08:37:20 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Book{Olver:1974:ASF,
author = "F. W. J. Olver",
title = "Asymptotics and Special Functions",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "xvi + 572",
year = "1974",
DOI = "https://doi.org/10.1016/C2013-0-11254-8",
ISBN = "0-12-525850-X",
ISBN-13 = "978-0-12-525850-0",
LCCN = "QA351 .O481 1974",
MRclass = "41A60",
MRnumber = "435697",
MRreviewer = "Norman Bleistein",
bibdate = "Wed Dec 15 10:40:06 1993",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/master.bib",
series = "Computer Science and Applied Mathematics",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
shorttableofcontents = "Preface / xv \\
1: Introduction to Asymptotic Analysis \\
2: Introduction to Special Functions \\
3: Integrals of a Real Variable \\
4: Contour Integrals \\
5: Differential Equations with Regular Singularities;
Hypergeometric and Legendre Functions \\
6: The Liouville--Green Approximation \\
7: Differential Equations with Irregular Singularities;
Bessel and Confluent Hypergeometric Functions \\
8: Sums and Sequences \\
9: Integrals: Further Methods \\
10: Differential Equations with a Parameter: Expansions
in Elementary Functions \\
11: Differential Equations with a Parameter: Turning
Points \\
12: Differential Equations with a Parameter: Simple
Poles and Other Transition Points \\
13: Connection Formulas for Solutions of Differential
Equations \\
14: Estimation of Remainder Terms \\
Answers to Exercises / 545 \\
References / 548 \\
Index of Symbols / 561 \\
General Index / 563",
subject = "Functions, Special; Asymptotic expansions;
Differential equations; Numerical solutions; Fonctions
sp{\'e}ciales; D{\'e}veloppements asymptotiques;
{\'E}quations diff{\'e}rentielles; Solutions
num{\'e}riques; Asymptotic expansions; Numerical
solutions; Functions, Special; Reeksontwikkelingen;
Asymptotisch gedrag; Differentiaalvergelijkingen;
Asymptotik; Asymptotische Entwicklung;
Differentialgleichung; Numerisches Verfahren; Spezielle
Funktion.",
tableofcontents = "Preface / xv \\
1: Introduction to Asymptotic Analysis / 1 \\
1 Origin of Asymptotic Expansions / 4 \\
2 The Symbols $\sim$, $o$, and $0$ / 6 \\
3 The Symbols $\sim$, $o$, and $O$ (continued) / 8 \\
4 Integration and Differentiation of Asymptotic and
Order Relations / 11 \\
5 Asymptotic Solution of Transcendental Equations: Real
Variables / 14 \\
6 Asymptotic Solution of Transcendental Equations:
Complex Variables / 16 \\
7 Definition and Fundamental Properties of Asymptotic
Expansions / 19 \\
8 Operations with Asymptotic Expansions / 22 \\
9 Functions Having Prescribed Asymptotic Expansions /
24 \\
10 Generalizations of Poincar{\'e}'s Definition / 27
\\
11 Error Analysis; Variational Operator Historical
Notes and Additional References / 29 \\
2: Introduction to Special Functions \\
1 The Gamma Function / 31 \\
2 The Psi Function / 39 \\
3 Exponential, Logarithmic, Sine, and Cosine Integrals
/ 40 \\
4 Error Functions, Dawson's Integral, and Fresnel
Integrals / 43 \\
5 Incomplete Gamma Functions / 45 \\
6 Orthogonal Polynomials / 46 \\
7 The Classical Orthogonal Polynomials / 48 \\
8 The Airy Integral / 53 \\
9 The Bessel Function $J_\nu(z)$ / 55 \\
1O The Modified Bessel Function $I_\nu(z)$ / 60 \\
11 The Zeta Function / 61 \\
Historical Notes and Additional References / 64 \\
3: Integrals of a Real Variable \\
1 Integration by Parts / 66 \\
2 Laplace Integrals / 67 \\
3 Watson's Lemma / 71 \\
4 The Riemann--Lebesgue Lemma / 73 \\
5 Fourier Integrals / 75 \\
6 Examples; Cases of Failure / 76 \\
7 Laplace's Method / 80 \\
8 Asymptotic Expansions by Laplace's Method; Gamma
Function of Large Argument / 85 \\
9 Error Bounds for Watson's Lemma and Laplace's Method
/ 89 \\
10 Examples / 92 \\
11 The Method of Stationary Phase / 96 \\
12 Preliminary Lemmas / 98 \\
13 Asymptotic Nature of the Stationary Phase
Approximation / 100 \\
14 Asymptotic Expansions by the Method of Stationary
Phase / 104 \\
Historical Notes and Additional References / 104 \\
4: Contour Integrals \\
1 Laplace Integrals with a Complex Parameter / 106 \\
2 Incomplete Gamma Functions of Complex Argument / 109
\\
3 Watson's Lemma / 112 \\
4 Airy Integral of Complex Argument; Compound
Asymptotic Expansions / 116 \\
5 Ratio of Two Gamma Functions; Watson's Lemma for Loop
Integrals / 118 \\
6 Laplace's Method for Contour Integrals / 121 \\
7 Saddle Points / 125 \\
8 Examples / 127 \\
9 Bessel Functions of Large Argument and Order / 130
\\
10 Error Bounds for Laplace's Method; the Method of
Steepest Descents / 135 \\
Historical Notes and Additional References / 137 \\
5: Differential Equations with Regular Singularities;
Hypergeometric and Legendre Functions \\
Existence Theorems for Linear Differential Equations:
Real Variables / 139 \\
2 Equations Containing a Real or Complex Parameter /
143 \\
3 Existence Theorems for Linear Differential Equations:
Complex Variables / 145 \\
4 Classification of Singularities; Nature of the
Solutions in the Neighborhood of a Regular Singularity
/ 148 \\
5 Second Solution When the Exponents Differ by an
Integer or Zero / 150 \\
6 Large Values of the Independent Variable / 153 \\
7 Numerically Satisfactory Solutions / 154 \\
8 The Hypergeometric Equation / 156 \\
9 The Hypergeometric Function / 159 \\
10 Other Solutions of the Hypergeometric Equation / 163
\\
11 Generalized Hypergeometric Functions / 168 \\
12 The Associated Legendre Equation / 169 \\
13 Legendre Functions of General Degree and Order / 174
\\
14 Legendre Functions of Integer Degree and Order / 180
\\
15 Ferrers Functions / 185 \\
Historical Notes and Additional References / 189 \\
6: The Liouville--Green Approximation \\
1 The Liouville Transformation / 190 \\
2 Error Bounds: Real Variables / 193 \\
3 Asymptotic Properties with Respect to the Independent
Variable / 197 \\
4 Convergence of ${\cal V}(F)$ at a Singularity / 200
\\
5 Asymptotic Properties with Respect to Parameters /
203 \\
6 Example: Parabolic Cylinder Functions of Large Order
/ 206 \\
7 A Special Extension / 208 \\
8 Zeros / 211 \\
9 Eigenvalue Problems / 214 \\
10 Theorems on Singular Integral Equations / 217 \\
11 Error Bounds: Complex Variables / 220 \\
12 Asymptotic Properties for Complex Variables / 223
\\
13 Choice of Progressive Paths / 224 \\
Historical Notes and Additional References / 228 \\
7: Differential Equations with Irregular Singularities;
Bessel \\
and Confluent Hypergeometric Functions \\
1 Formal Series Solutions / 229 \\
2 Asymptotic Nature of the Formal Series / 232 \\
3 Equations Containing a Parameter / 236 \\
4 Hankel Functions; Stokes' Phenomenon / 237 \\
5 The Function $Y_\nu(z)$ / 241 \\
6 Zeros of $J_\nu(z)$ / 244 \\
7 Zeros of $Y_\nu(z)$ and Other Cylinder Functions /
248 \\
8 Modified Bessel Functions / 250 \\
9 Confluent Hypergeometric Equation / 254 \\
10 Asymptotic Solutions of the Confluent Hypergeometric
\\
Equation '/ 256 \\
11 Whittaker Functions / 260 \\
12 Error Bounds for the Asymptotic Solutions in the
General Case / 262 \\
13 Error Bounds for Hankel's Expansions / 266 \\
14 Inhomogeneous Equations / 270 \\
15 Struve's Equation / 274 \\
Historical Notes and Additional References / 277 \\
8: Sums and Sequences \\
1 The Euler--Maclaurin Formula and Bernoulli's
Polynomials / 279 \\
2 Applications / 284 \\
3 Contour Integral for the Remainder Term / 289 \\
4 Stirling's Series for In r(z) / 293 \\
5 Summation by Parts / 295 \\
6 Barnes' Integral for the Hypergeometric Function /
299 \\
7 Further Examples / 302 \\
8 Asymptotic Expansions of Entire Functions / 307 \\
9 Coefficients in a Power-Series Expansion; Method of
Darboux / 309 \\
10 Examples / 311 \\
11 Inverse Laplace Transforms; Haar's Method / 315 \\
Historical Notes and Additional References / 321 \\
9: Integrals: Further Methods \\
1 Logarithmic Singularities / 322 \\
2 Generalizations of Laplace's Method / 325 \\
3 Example from Combinatoric Theory / 329 \\
4 Generalizations of Laplace's Method (continued) / 331
\\
5 Examples / 334 \\
6 More General Kernels / 336 \\
7 Nicholson's Integral for J;(z) + Y;(z) / 340 \\
8 Oscillatory Kernels / 342 \\
9 Bleistein's Method / 344 \\
10 Example / 346 \\
11 The Method of Chester, Friedman, and Ursell / 351
\\
12 Anger Functions of Large Order / 352 \\
13 Extension of the Region of Validity / 358 \\
Historical Notes and Additional References / 361 \\
10: Differential Equations with a Parameter: Expansions
in Elementary Functions \\
1 Classification and Preliminary Transformations / 362
\\
2 Case I: Formal Series Solutions / 364 \\
3 Error Bounds for the Formal Solutions / 366 \\
4 Behavior of the Coefficients at a Singularity / 368
\\
5 Behavior of the Coefficients at a Singularity
(continued) / 369 \\
6 Asymptotic Properties with Respect to the Parameter /
371 \\
7 Modified Bessel Functions of Large Order / 374 \\
8 Extensions of the Regions of Validity for the
Expansions of the Modified Bessel Functions / 378 \\
9 More General Forms of Differential Equation / 382 \\
10 Inhomogeneous Equations / 386 \\
11 Example: An Inhomogeneous Form of the Modified
Bessel Equation / 388 \\
Historical Notes and Additional References / 391 \\
11: Differential Equations with a Parameter: Turning
Points \\
1 Airy Functions of Real Argument / 392 \\
2 Auxiliary Functions for Real Variables / 394 \\
3 The First Approximation / 397 \\
4 Asymptotic Properties of the Approximation; Whittaker
Functions with $m$ Large / 401 \\
5 Real Zeros of the Airy Functions / 403 \\
6 Zeros of the First Approximation / 405 \\
7 Higher Approximations / 408 \\
8 Airy Functions of Complex Argument / 413 \\
9 Asymptotic Approximations for Complex Variables / 416
\\
10 Bessel Functions of Large Order / 419 \\
11 More General Form of Differential Equation / 426 \\
12 Inhomogeneous Equations / 429 \\
Historical Notes and Additional References / 433 \\
12: Differential Equations with a Parameter: Simple
Poles and Other Transition Points \\
1 Bessel Functions and Modified Bessel Functions of
Real Order and Argument / 435 \\
2 Case III: Formal Series Solutions / 438 \\
3 Error Bounds: Positive C / 440 \\
4 Error Bounds: Negative C / 443 \\
5 Asymptotic Properties of the Expansions / 447 \\
6 Determination of Phase Shift / 449 \\
7 Zeros / 451 \\
8 Auxiliary Functions for Complex Arguments / 453 \\
9 Error Bounds: Complex u and C / 457 \\
10 Asymptotic Properties for Complex Variables / 460
\\
11 Behavior of the Coefficients at Infinity / 462 \\
12 Legendre Functions of Large Degree: Real Arguments /
463 \\
13 Legendre Functions of Large Degree: Complex
Arguments / 470 \\
14 Other Types of Transition Points / 474 \\
Historical Notes and Additional References / 478 \\
13: Connection Formulas for Solutions of Differential
Equations \\
1 Introduction / 480 \\
2 Connection Formulas at a Singularity / 480 \\
3 Differential Equations with a Parameter / 482 \\
4 Connection Formula for Case III / 483 \\
5 Application to Simple Poles / 487 \\
6 Example: The Associated Legendre Equation / 490 \\
7 The Gans--Jeffreys Formulas: Real-Variable Method /
491 \\
8 Two Turning Points / 494 \\
9 Bound States / 497 \\
10 Wave Penetration through a Barrier. I / 501 \\
11 Fundamental Connection Formula for a Simple Turning
Point in the Complex Plane / 503 \\
12 Example: Airy's Equation / 507 \\
13 Choice of Progressive Paths / 508 \\
14 The Gans--Jeffreys Formulas: Complex-Variable Method
/ 510 \\
15 Wave Penetration through a Barrier. II / 513 \\
Historical Notes and Additional References / 516 \\
14: Estimation of Remainder Terms \\
1 Numerical Use of Asymptotic Approximations / 519 \\
2 Converging Factors / 522 \\
3 Exponential Integral / 523 \\
4 Exponential Integral (continued) / 527 \\
5 Confluent Hypergeometric Function / 531 \\
6 Euler's Transformation / 536 \\
7 Application to Asymptotic Expansions / 540 \\
Historical Notes and Additional References / 543 \\
Answers to Exercises / 545 \\
References / 548 \\
Index of Symbols / 561 \\
General Index / 563",
}
@Article{Olver:1974:EBS,
author = "F. W. J. Olver",
title = "Error bounds for stationary phase approximations",
journal = j-SIAM-J-MATH-ANA,
volume = "5",
number = "1",
pages = "19--29",
month = feb,
year = "1974",
CODEN = "SJMAAH",
DOI = "https://doi.org/10.1137/0505003",
ISSN = "0036-1410 (print), 1095-7154 (electronic)",
ISSN-L = "0036-1410",
MRclass = "41A60",
MRnumber = "333545",
MRreviewer = "L. Berg",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "SIAM Journal on Mathematical Analysis",
journal-URL = "http://epubs.siam.org/sima",
}
@Article{Olver:1975:LFB,
author = "F. W. J. Olver",
title = "{Legendre} functions with both parameters large",
journal = j-PHILOS-TRANS-R-SOC-LOND-SER-A,
volume = "278",
pages = "175--185",
year = "1975",
CODEN = "PTRMAD, PTMSFB",
DOI = "https://doi.org/10.1098/rsta.1975.0024",
ISSN = "0080-4614 (print), 2054-0272 (electronic)",
ISSN-L = "1364-503X",
MRclass = "34E20 (33A45)",
MRnumber = "369845",
MRreviewer = "P. F. Hsieh",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "Philosophical Transactions of the Royal Society of
London. Series A. Mathematical and Physical Sciences",
journal-URL = "http://rsta.royalsocietypublishing.org/",
}
@InProceedings{Olver:1975:REA,
author = "F. W. J. Olver",
editor = "Henry Albert Antosiewicz",
booktitle = "{International Conference on Differential Equations:
proceedings of an international conference on
differential equations held at the University of
Southern California [Los Angeles], September 3--7,
1974}",
title = "Recent error analysis of asymptotic solutions of
linear differential equations",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
bookpages = "xix + 834",
pages = "636--645",
year = "1975",
DOI = "https://doi.org/10.1016/B978-0-12-059650-8.50051-X",
ISBN = "0-12-059650-4, 1-4832-5913-7 (e-book)",
ISBN-13 = "978-0-12-059650-8, 978-1-4832-5913-0 (e-book)",
LCCN = "QA371 .I54 1974",
MRclass = "34E20",
MRnumber = "425281",
MRreviewer = "P. F. Hsieh",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Olver:1975:SOL,
author = "F. W. J. Olver",
title = "Second-order linear differential equations with two
turning points",
journal = j-PHILOS-TRANS-R-SOC-LOND-SER-A,
volume = "278",
pages = "137--174",
year = "1975",
CODEN = "PTRMAD, PTMSFB",
DOI = "https://doi.org/10.1098/rsta.1975.0023",
ISSN = "0080-4614 (print), 2054-0272 (electronic)",
ISSN-L = "1364-503X",
MRclass = "34E20",
MRnumber = "369844",
MRreviewer = "P. F. Hsieh",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "Philosophical Transactions of the Royal Society of
London. Series A. Mathematical and Physical Sciences",
journal-URL = "http://rsta.royalsocietypublishing.org/",
}
@InProceedings{Olver:1975:UPA,
author = "F. W. J. Olver",
booktitle = "Theory and application of special functions
({Proceedings of an Advanced Seminar Sponsored by the
Mathematics Research Center, the University of
Wisconsin--Madison, March 31--April 2, 1975})",
title = "Unsolved problems in the asymptotic estimation of
special functions",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "99--142",
year = "1975",
DOI = "https://doi.org/10.1016/B978-0-12-064850-4.50006-9",
MRclass = "41A60 (33-XX)",
MRnumber = "393977",
MRreviewer = "Archibald Brown",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Olver:1976:IEB,
author = "F. W. J. Olver",
title = "Improved error bounds for second-order differential
equations with two turning points",
journal = j-J-RES-NATL-BUR-STAND-B,
volume = "80B",
number = "4",
pages = "437--440",
year = "1976",
CODEN = "JNBBAU",
DOI = "https://doi.org/10.6028/jres.080B.047",
ISSN = "0022-4340",
MRclass = "65L05",
MRnumber = "448907",
MRreviewer = "Peter Deuflhard",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "Journal of Research of the National Bureau of
Standards. Section B. Mathematics and Mathematical
Physics",
journal-URL = "http://www.nist.gov/nvl/jrespastpapers.cfm",
}
@InProceedings{Olver:1976:UAE,
author = "F. W. J. Olver",
editor = "R. E. {O'Malley, Jr.}",
booktitle = "Asymptotic methods and singular perturbations
({Proceedings of the SIAM-AMS Symposium on Applied
Mathematics, New York, 1976})",
title = "Uniform asymptotic expansions and singular
perturbations",
volume = "X",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "105--117",
year = "1976",
MRclass = "34E20",
MRnumber = "508640",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
series = "SIAM-AMS Proc.",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Glasser:1977:ABI,
author = "M. L. Glasser and F. W. J. Olver",
title = "Asymptotic behaviour of integrals of {Bessel}
functions of high order",
journal = j-UTIL-MATH,
volume = "12",
pages = "225--239",
year = "1977",
CODEN = "UTMADA",
ISSN = "0315-3681",
ISSN-L = "0315-3681",
MRclass = "33A40",
MRnumber = "477196",
MRreviewer = "Friederich Goetze",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
URL = "https://combinatorialpress.com/um/arch/vol12/",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "Utilitas Mathematica. An International Journal of
Discrete and Combinatorial Mathematics, and Statistical
Design",
journal-URL = "https://www.combinatorialmath.ca/utilitas/",
}
@Article{Olver:1977:CFSa,
author = "F. W. J. Olver",
title = "Connection formulas for second-order differential
equations having an arbitrary number of turning points
of arbitrary multiplicities",
journal = j-SIAM-J-MATH-ANA,
volume = "8",
number = "4",
pages = "673--700",
year = "1977",
CODEN = "SJMAAH",
DOI = "https://doi.org/10.1137/0508053",
ISSN = "0036-1410 (print), 1095-7154 (electronic)",
ISSN-L = "0036-1410",
MRclass = "34E20",
MRnumber = "454215",
MRreviewer = "W. Wasow",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "SIAM Journal on Mathematical Analysis",
journal-URL = "http://epubs.siam.org/sima",
}
@Article{Olver:1977:CFSb,
author = "F. W. J. Olver",
title = "Connection formulas for second-order differential
equations with multiple turning points",
journal = j-SIAM-J-MATH-ANA,
volume = "8",
number = "1",
pages = "127--154",
year = "1977",
CODEN = "SJMAAH",
DOI = "https://doi.org/10.1137/0508009",
ISSN = "0036-1410 (print), 1095-7154 (electronic)",
ISSN-L = "0036-1410",
MRclass = "34E20",
MRnumber = "427763",
MRreviewer = "Anthony Leung",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "SIAM Journal on Mathematical Analysis",
journal-URL = "http://epubs.siam.org/sima",
}
@Article{Olver:1977:SOD,
author = "F. W. J. Olver",
title = "Second-order differential equations with fractional
transition points",
journal = j-TRANS-AM-MATH-SOC,
volume = "226",
pages = "227--241",
year = "1977",
CODEN = "TAMTAM",
DOI = "https://doi.org/10.2307/1997952",
ISSN = "0002-9947 (print), 1088-6850 (electronic)",
ISSN-L = "0002-9947",
MRclass = "34E20",
MRnumber = "430445",
MRreviewer = "Anthony Leung",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "Transactions of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/tran/",
}
@Article{Lozano:1978:AAP,
author = "C. Lozano and F. W. J. Olver",
title = "Asymptotic approximations for parabolic cylinder
functions",
journal = j-J-PHYS-B,
volume = "11",
number = "18",
pages = "L531--L533",
month = sep,
year = "1978",
CODEN = "JPAMA4",
DOI = "https://doi.org/10.1088/0022-3700/11/18/001",
ISSN = "0953-4075 (print), 1361-6455 (electronic)",
ISSN-L = "0953-4075",
MRclass = "33A30 (34E05 41A60)",
MRnumber = "506834",
MRreviewer = "Y. L. Luke",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
ajournal = "J. Phys. B",
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "Journal of Physics. B. Atomic and Molecular Physics",
journal-URL = "http://iopscience.iop.org/0022-3700/",
}
@Book{Olver:1978:CVV,
author = "F. Olver",
title = "{{\cyr Vvedenie v asimptoticheskie metody i
spetsial\cprime nye funktsii}} ({Russian})
[{Introduction} to asymptotic methods and special
functions]",
publisher = "``Nauka''",
address = "Moscow, USSR",
pages = "375",
year = "1978",
MRclass = "41A60 (33-01)",
MRnumber = "515140",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
note = "Translation by Ju. A. Bry{\v{c}}kov of
\cite{Olver:1974:ASF}. Edited by A. P. Prudnikov.",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
language = "Russian",
}
@Article{Olver:1978:GCF,
author = "F. W. J. Olver",
title = "General connection formulae for {Liouville--Green}
approximations in the complex plane",
journal = j-PHILOS-TRANS-R-SOC-LOND-SER-A,
volume = "289",
number = "1364",
pages = "501--548",
year = "1978",
CODEN = "PTRMAD, PTMSFB",
DOI = "https://doi.org/10.1098/rsta.1978.0067",
ISSN = "0080-4614 (print), 2054-0272 (electronic)",
ISSN-L = "1364-503X",
MRclass = "34E20 (34A20)",
MRnumber = "507164",
MRreviewer = "W. Wasow",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
note = "See corrigendum \cite{Olver:1979:C}.",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "Philosophical Transactions of the Royal Society of
London. Series A. Mathematical and Physical Sciences",
journal-URL = "http://rsta.royalsocietypublishing.org/",
}
@Article{Olver:1978:NAE,
author = "F. W. J. Olver",
title = "A new approach to error arithmetic",
journal = j-SIAM-J-NUMER-ANAL,
volume = "15",
number = "2",
pages = "368--393",
year = "1978",
CODEN = "SJNAAM",
DOI = "https://doi.org/10.1137/0715024",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65G05",
MRnumber = "483379",
MRreviewer = "W. B{\"o}rsch-Supan",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/fparith.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "SIAM Journal on Numerical Analysis",
journal-URL = "http://epubs.siam.org/sinum",
}
@Article{Olver:1978:SCA,
author = "F. W. J. Olver",
title = "Sufficient conditions for {Ackerberg--O'Malley}
resonance",
journal = j-SIAM-J-MATH-ANA,
volume = "9",
number = "2",
pages = "328--355",
year = "1978",
CODEN = "SJMAAH",
DOI = "https://doi.org/10.1137/0509023",
ISSN = "0036-1410 (print), 1095-7154 (electronic)",
ISSN-L = "0036-1410",
MRclass = "34E20",
MRnumber = "470383",
MRreviewer = "G. Sansone",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "SIAM Journal on Mathematical Analysis",
journal-URL = "http://epubs.siam.org/sima",
}
@Article{Olver:1979:C,
author = "Frank W. J. Olver",
title = "Corrigendum",
journal = j-PHILOS-TRANS-R-SOC-LOND-SER-A,
volume = "290",
number = "1377",
pages = "686--686",
month = feb,
year = "1979",
CODEN = "PTRMAD, PTMSFB",
DOI = "https://doi.org/10.1098/rsta.1979.0020",
ISSN = "1364-503X (print), 1471-2962 (electronic)",
ISSN-L = "1364-503X",
bibdate = "Sun Nov 5 17:49:08 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
note = "See \cite{Olver:1978:GCF}.",
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "Philosophical Transactions of the Royal Society A:
Mathematical, Physical, and Engineering Sciences",
journal-URL = "http://rsta.royalsocietypublishing.org/",
}
@Article{Clenshaw:1980:UAE,
author = "C. W. Clenshaw and Frank W. J. Olver",
title = "An unrestricted algorithm for the exponential
function",
journal = j-SIAM-J-NUMER-ANAL,
volume = "17",
number = "2",
pages = "310--331",
year = "1980",
CODEN = "SJNAAM",
DOI = "https://doi.org/10.1137/0717026",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65D20",
MRnumber = "567276",
MRreviewer = "A. M. Cohen",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
author-dates = "Charles William Clenshaw (15 March 1926--23 September
2004); Frank William John Olver (15 December 1924--23
April 2013)",
fjournal = "SIAM Journal on Numerical Analysis",
journal-URL = "http://epubs.siam.org/sinum",
}
@Article{Olver:1980:AAE,
author = "F. W. J. Olver",
title = "Asymptotic approximations and error bounds",
journal = j-SIAM-REVIEW,
volume = "22",
number = "2",
pages = "188--203",
year = "1980",
CODEN = "SIREAD",
DOI = "https://doi.org/10.1137/1022028",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
MRclass = "41A60 (65D20)",
MRnumber = "564564",
MRreviewer = "L. Berg",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "SIAM Review. A Publication of the Society for
Industrial and Applied Mathematics",
journal-URL = "http://epubs.siam.org/sirev",
}
@InProceedings{Olver:1980:GCF,
author = "Frank W. J. Olver",
editor = "R. E. Meyer and S. V. Parter",
booktitle = "Singular perturbations and asymptotics ({Proceedings
of an Advanced Seminar, Mathematics Research Center,
University of Wisconsin, Madison, Wisconsin, 1980})",
title = "The general connection-formula problem for linear
differential equations of the second order",
volume = "45",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "317--343",
year = "1980",
ISBN = "0-12-493260-6",
ISBN-13 = "978-0-12-493260-9",
MRclass = "34E20 (34A20)",
MRnumber = "606044",
MRreviewer = "Frederick A. Howes",
bibdate = "Tue Nov 7 08:05:51 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
series = "Publication of the Mathematics Research Center,
University of Wisconsin",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@InProceedings{Olver:1980:UAG,
author = "F. W. J. Olver",
editor = "G. Alefeld and R. D. Grigorieff",
booktitle = "Fundamentals of Numerical Computation
(Computer-Oriented Numerical Analysis) ({Proceedings of
the Conference at the Technical University of Berlin,
Berlin, 1979})",
title = "Unrestricted algorithms for generating elementary
functions",
volume = "2",
publisher = pub-SV,
address = pub-SV:adr,
pages = "131--140",
year = "1980",
ISBN = "3-211-81566-X",
ISBN-13 = "978-3-211-81566-3",
MRclass = "65G05 (65D15)",
MRnumber = "586226",
MRreviewer = "John Todd",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
series = "Comput. Suppl.",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
xxaddress = "Vienna, Austria",
xxpublisher = "Springer",
}
@Article{Olver:1980:WFB,
author = "F. W. J. Olver",
title = "{Whittaker} functions with both parameters large:
uniform approximations in terms of parabolic cylinder
functions",
journal = j-PROC-R-SOC-EDINB-SECT-A-MATH,
volume = "86",
number = "3--4",
pages = "213--234",
year = "1980",
CODEN = "PEAMDU",
DOI = "https://doi.org/10.1017/S0308210500012130",
ISSN = "0308-2105 (print), 1473-7124 (electronic)",
ISSN-L = "0308-2105",
MRclass = "34E20 (33A40)",
MRnumber = "592550",
MRreviewer = "P. F. Hsieh",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "Proceedings of the Royal Society of Edinburgh. Section
A. Mathematics",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=PRM",
}
@Article{Smith:1981:ERA,
author = "J. M. Smith and F. W. J. Olver and Daniel W. Lozier",
title = "Extended-range arithmetic and normalized {Legendre}
polynomials",
journal = j-TOMS,
volume = "7",
number = "1",
pages = "93--105",
month = mar,
year = "1981",
CODEN = "ACMSCU",
DOI = "https://doi.org/10.1145/355934.355940",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
MRclass = "65D20 (65G05)",
MRnumber = "607353",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "Association for Computing Machinery. Transactions on
Mathematical Software",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
}
@Article{Olver:1982:FDR,
author = "F. W. J. Olver",
title = "Further developments of {Rp} and {Ap} error analysis",
journal = j-IMA-J-NUMER-ANAL,
volume = "2",
number = "3",
pages = "249--274",
month = jul,
year = "1982",
CODEN = "IJNADH",
DOI = "https://doi.org/10.1093/imanum/2.3.249",
ISSN = "0272-4979 (print), 1464-3642 (electronic)",
ISSN-L = "0272-4979",
MRclass = "65G10 (65G05)",
MRnumber = "678016",
MRreviewer = "Aur{\'e}l Gal{\'a}ntai",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/imajnumeranal.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "IMA Journal of Numerical Analysis",
journal-URL = "http://imajna.oxfordjournals.org/content/by/year",
}
@Article{Olver:1982:PEB,
author = "F. W. J. Olver and J. H. Wilkinson",
title = "A Posteriori Error Bounds for {Gaussian} Elimination",
journal = j-IMA-J-NUMER-ANAL,
volume = "2",
number = "4",
pages = "377--406",
year = "1982",
CODEN = "IJNADH",
DOI = "https://doi.org/10.1093/imanum/2.4.377",
ISSN = "0272-4979 (print), 1464-3642 (electronic)",
ISSN-L = "0272-4979",
MRclass = "65F05 (65G05)",
MRnumber = "MR692286 (84m:65044)",
MRreviewer = "E. R. Hansen",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib;
Theory/Matrix.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013); James H. Wilkinson (27 September 1919--5 October
1986)",
fjournal = "IMA Journal of Numerical Analysis",
journal-URL = "http://imajna.oxfordjournals.org/content/by/year",
}
@Article{Olver:1983:ALF,
author = "F. W. J. Olver and J. M. Smith",
title = "Associated {Legendre} functions on the cut",
journal = j-J-COMPUT-PHYS,
volume = "51",
number = "3",
pages = "502--518",
month = sep,
year = "1983",
CODEN = "JCTPAH",
DOI = "https://doi.org/10.1016/0021-9991(83)90166-3",
ISSN = "0021-9991 (print), 1090-2716 (electronic)",
ISSN-L = "0021-9991",
MRclass = "65D20 (33A45)",
MRnumber = "718756",
MRreviewer = "G. P. Bhattacharjee",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "Journal of Computational Physics",
journal-URL = "http://www.sciencedirect.com/science/journal/00219991",
}
@InCollection{Olver:1983:AM,
author = "F. W. J. Olver",
editor = "C. E. Pearson",
booktitle = "Handbook of Applied Mathematics",
title = "Asymptotic methods",
publisher = pub-VAN-NOSTRAND-REINHOLD,
address = pub-VAN-NOSTRAND-REINHOLD:adr,
edition = "Second",
pages = "631--696",
year = "1983",
bibdate = "Tue Nov 07 08:37:20 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@InProceedings{Olver:1983:EAC,
author = "F. W. J. Olver",
editor = "H. Werner and L. Wuytack and E. Ng and H. J. Bunger",
booktitle = "Computational aspects of complex analysis
({Braunlage}, 1982)",
title = "Error analysis of complex arithmetic",
volume = "102",
publisher = pub-REIDEL,
address = pub-REIDEL:adr,
pages = "279--292",
year = "1983",
ISBN = "90-277-1571-8",
ISBN-13 = "978-90-277-1571-5",
MRclass = "65G10",
MRnumber = "712900",
MRreviewer = "G. Blanch",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
series = "NATO Advanced Science Institute Series C: Mathematical
and Physical Sciences",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Olver:1983:EBA,
author = "F. W. J. Olver",
title = "Error bounds for arithmetic operations on computers
without guard digits",
journal = j-IMA-J-NUMER-ANAL,
volume = "3",
number = "2",
pages = "153--160",
year = "1983",
CODEN = "IJNADH",
DOI = "https://doi.org/10.1093/imanum/3.2.153",
ISSN = "0272-4979 (print), 1464-3642 (electronic)",
ISSN-L = "0272-4979",
MRclass = "65G05",
MRnumber = "716459",
MRreviewer = "Robert Todd Gregory",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "IMA Journal of Numerical Analysis",
journal-URL = "http://imajna.oxfordjournals.org/content/by/year",
}
@Article{Clenshaw:1984:BFP,
author = "C. W. Clenshaw and Frank W. J. Olver",
title = "Beyond floating point",
journal = j-J-ACM,
volume = "31",
number = "2",
pages = "319--328",
year = "1984",
CODEN = "JACOAH",
DOI = "https://doi.org/10.1145/62.322429",
ISSN = "0004-5411 (print), 1557-735X (electronic)",
ISSN-L = "0004-5411",
MRclass = "65G05",
MRnumber = "819141",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/fparith.bib",
acknowledgement = ack-nhfb,
author-dates = "Charles William Clenshaw (15 March 1926--23 September
2004); Frank William John Olver (15 December 1924--23
April 2013)",
fjournal = "Journal of the Association for Computing Machinery",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401",
keywords = "level-index (LI) arithmetic",
remark = "This is the paper that proposed level-index (LI)
arithmetic.",
}
@Article{Olver:1984:BRM,
author = "F. W. J. Olver",
title = "Book Review: {{\booktitle{Mathematics for the Analysis
of Algorithms}}, by D. H. Greene and D. E. Knuth:
Progress in Computer Science, v. 1 (second edition),
Birkh{\"a}user, Boston, 1982}",
journal = "COMPEL",
volume = "3",
number = "??",
pages = "53--54",
month = "????",
year = "1984",
bibdate = "Tue Nov 07 10:00:36 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Olver:1985:UAM,
author = "F. W. J. Olver",
title = "Unrestricted algorithms for mathematical functions",
journal = "Rend. Sem. Mat. Univ. Politec. Torino",
volume = "??",
number = "??",
pages = "237--248",
month = "????",
year = "1985",
ISSN = "0373-1243",
MRclass = "65G05",
MRnumber = "850035",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
note = "International conference on special functions: theory
and computation (Turin, 1984)",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "Rendiconti del Seminario Matematico (gi\`a
``Conferenze di Fisica e di Matematica''). Universit\`a
e Politecnico di Torino",
}
@Article{Clenshaw:1986:GEL,
author = "C. W. Clenshaw and Daniel W. Lozier and F. W. J. Olver
and Peter R. Turner",
title = "Generalized exponential and logarithmic functions",
journal = j-COMPUT-MATH-APPL-B,
volume = "12",
number = "5--6",
pages = "1091--1101",
year = "1986",
CODEN = "CMAPDK",
DOI = "https://doi.org/10.1016/0898-1221(86)90233-6",
ISSN = "0886-9561",
MRclass = "33A70 (39B10 65G05)",
MRnumber = "871348",
MRreviewer = "M. E. Muldoon",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
author-dates = "Charles William Clenshaw (15 March 1926--23 September
2004); Frank William John Olver (15 December 1924--23
April 2013)",
fjournal = "Computers \& Mathematics with Applications. An
International Journal. Part B",
journal-URL = "http://www.sciencedirect.com/science/journal/08981221",
}
@Article{Clenshaw:1986:UAR,
author = "C. W. Clenshaw and Frank W. J. Olver",
title = "Unrestricted algorithms for reciprocals and square
roots",
journal = j-BIT,
volume = "26",
number = "4",
pages = "476--492",
year = "1986",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1007/BF01935054",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
MRclass = "65D20",
MRnumber = "863501",
MRreviewer = "Luciano Biasini",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
author-dates = "Charles William Clenshaw (15 March 1926--23 September
2004); Frank William John Olver (15 December 1924--23
April 2013)",
fjournal = "BIT. Nordisk Tidskrift for Informationsbehandling
(BIT)",
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Olver:1986:BRC,
author = "F. W. J. Olver",
title = "Book Review: {{\booktitle{Computation with Recurrence
Relations}}, by Jet Wimp: Pitman, Boston, 1984}",
journal = j-MATH-COMPUT,
volume = "47",
number = "175",
pages = "371--372",
year = "1986",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.1090/S0025-5718-86-99764-4",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Tue Nov 07 10:03:44 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
URL = "https://www.ams.org/journals/mcom/1986-47-175/S0025-5718-86-99764-4",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Olver:1986:BRL,
author = "Frank W. J. Olver",
title = "Book Review: {{\booktitle{Linear Turning Point
Theory}} (Wolfgang Wasow)}",
journal = j-SIAM-REVIEW,
volume = "28",
number = "3",
pages = "433--435",
month = "????",
year = "1986",
CODEN = "SIREAD",
DOI = "https://doi.org/10.1137/1028143",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
bibdate = "Sat Mar 29 09:54:07 MDT 2014",
bibsource = "http://epubs.siam.org/toc/siread/28/3;
https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "SIAM Review",
journal-URL = "http://epubs.siam.org/sirev",
onlinedate = "September 1986",
}
@Article{Olver:1986:EBP,
author = "F. W. J. Olver",
title = "Error bounds for polynomial evaluation and complex
arithmetic",
journal = j-IMA-J-NUMER-ANAL,
volume = "6",
number = "3",
pages = "373--379",
year = "1986",
CODEN = "IJNADH",
DOI = "https://doi.org/10.1093/imanum/6.3.373",
ISSN = "0272-4979 (print), 1464-3642 (electronic)",
ISSN-L = "0272-4979",
MRclass = "65G05 (65G10 65H05)",
MRnumber = "967677",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "IMA Journal of Numerical Analysis",
journal-URL = "http://imajna.oxfordjournals.org/content/by/year",
}
@Article{Olver:1986:LIN,
author = "F. W. J. Olver",
title = "The level-index number system",
journal = j-BULL-INST-MATH-APPL,
volume = "22",
number = "11--12",
pages = "182--185",
year = "1986",
CODEN = "IMTABW",
ISSN = "0905-5628",
MRclass = "65G99 (65D20)",
MRnumber = "900721",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/fparith.bib",
acknowledgement = ack-nhfb,
ajournal = "Bull. Inst. Math. Appl.",
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "Bulletin of the Institute of Mathematics and its
Applications",
}
@Article{Olver:1986:SEB,
author = "F. W. J. Olver",
title = "Simplified error bounds for {Newton}'s rule",
journal = "Universidad del Zulia. Facultad de Ingenier{\'\i}a.
Revista T{\'e}cnica",
volume = "9",
number = "2",
pages = "71--77",
year = "1986",
ISSN = "0254-0770",
MRclass = "65G99 (65H05)",
MRnumber = "895110",
MRreviewer = "J. Rokne",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
ajournal = "Rev. T{\'e}cn. Fac. Ingr. Univ. Zulia",
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "Universidad del Zulia. Facultad de Ingenier{\'\i}a.
Revista T{\'e}cnica",
}
@Article{Clenshaw:1987:LIA,
author = "C. W. Clenshaw and Frank W. J. Olver",
title = "Level-index arithmetic operations",
journal = j-SIAM-J-NUMER-ANAL,
volume = "24",
number = "2",
pages = "470--485",
year = "1987",
CODEN = "SJNAAM",
DOI = "https://doi.org/10.1137/0724034",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65G05 (65G99)",
MRnumber = "881377",
MRreviewer = "F. Szidarovszky",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/fparith.bib",
acknowledgement = ack-nhfb,
author-dates = "Charles William Clenshaw (15 March 1926--23 September
2004); Frank William John Olver (15 December 1924--23
April 2013)",
fjournal = "SIAM Journal on Numerical Analysis",
journal-URL = "http://epubs.siam.org/sinum",
}
@InProceedings{Olver:1987:CCA,
author = "F. W. J. Olver",
title = "A Closed Computer Arithmetic",
crossref = "Irwin:1987:PSC",
pages = "139--143",
month = may,
year = "1987",
bibdate = "Wed Nov 14 18:22:26 2007",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/fparith.bib",
URL = "http://www.acsel-lab.com/arithmetic/arith8/papers/ARITH8_Olver.pdf",
abstract = "Two closely related new systems of computer arithmetic
are proposed. It is shown that both are closed under
arithmetic operations in finite-precision arithmetic,
thereby offering a permanent solution to the problems
of overflow and underflow. Other advantages of the new
systems pertaining to precision are described, and
there is also a brief discussion of possible ways of
hardware implementation.",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
keywords = "ARITH-8",
remark = "Reprinted in \cite{Olver:1990:CCA}.",
}
@InProceedings{Olver:1987:ILI,
author = "F. W. J. Olver and P. R. Turner",
title = "Implementation of Level-Index Arithmetic Using Partial
Table Look-Up",
crossref = "Irwin:1987:PSC",
pages = "144--147",
month = may,
year = "1987",
bibdate = "Wed Nov 14 18:22:26 2007",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/fparith.bib",
URL = "http://www.acsel-lab.com/arithmetic/arith8/papers/ARITH8_Olver_Turner.pdf",
abstract = "This paper is concerned with finding fast efficient
algorithms for performing level-index arithmetic. The
approach used combines the advantages of parallel
processing with the use of table look-up. The latter is
used only for short words and the result is a potential
implementation with $ \li $ operation times comparable
with floating-point long multiplications.",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
keywords = "ARITH-8",
}
@Article{Olver:1988:EBL,
author = "F. W. J. Olver",
title = "Error Bounds for Linear Recurrence Relations",
journal = j-MATH-COMPUT,
volume = "50",
number = "182",
pages = "481--499",
month = apr,
year = "1988",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2008618",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "65Q05 (39A10 65G05)",
MRnumber = "89e:65146 (929547)",
MRreviewer = "Bogdan Choczewski",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
JSTOR database",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
classcodes = "B0290B (Error analysis in numerical methods); C4110
(Error analysis in numerical methods)",
corpsource = "Maryland Univ., College Park, MD, USA",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "a posteriori methods; analysis; Bessel function;
bounds; computational complexity; difference equations;
error; homogeneous second order; Legendre function;
linear recurrence relations; monotonic systems;
numerical examples; O(r) arithmetic operations;
oscillatory systems; realistic error; relations;
rounded interval arithmetic",
treatment = "T Theoretical or Mathematical",
}
@InProceedings{Clenshaw:1989:LIA,
author = "C. W. Clenshaw and F. W. J. Olver and Peter R.
Turner",
booktitle = "Numerical analysis and parallel processing ({Lancaster
Numerical Analysis Summer School}, 1987)",
title = "Level-index arithmetic: an introductory survey",
volume = "1397",
publisher = pub-SV,
address = pub-SV:adr,
pages = "95--168",
year = "1989",
DOI = "https://doi.org/10.1007/BFb0085718",
ISBN = "3-540-51645-X",
ISBN-13 = "978-3-540-51645-3",
MRclass = "65Q05",
MRnumber = "1022263",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/fparith.bib",
series = "Lecture Notes in Math.",
acknowledgement = ack-nhfb,
author-dates = "Charles William Clenshaw (15 March 1926--23 September
2004); Frank William John Olver (15 December 1924--23
April 2013)",
}
@Article{Olver:1989:BRT,
author = "F. W. J. Olver",
title = "Book Review: {{\booktitle{Theory of Difference
Equations: Numerical Methods and Applications}}, by V.
Lakshmikantham and D. Trigiante: Mathematics in Science
and Engineering, v. 181, Academic Press, New York,
1988}",
journal = j-AM-SCI,
volume = "77",
number = "3",
pages = "294--295",
month = may # "\slash " # jun,
year = "1989",
CODEN = "AMSCAC",
ISSN = "0003-0996 (print), 1545-2786 (electronic)",
ISSN-L = "0003-0996",
bibdate = "Tue Nov 07 10:06:38 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
URL = "https://www.jstor.org/stable/27855786",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "American Scientist",
journal-URL = "http://www.americanscientist.org/issues/past.aspx",
}
@InCollection{Olver:1989:CP,
author = "F. W. J. Olver",
title = "Closure and precision",
crossref = "Turner:1989:NAP",
pages = "124--130",
year = "1989",
bibdate = "Tue Nov 07 07:22:57 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@InCollection{Olver:1989:GEL,
author = "F. W. J. Olver",
title = "Generalized exponentials and logarithms; surface
fitting; conclusions",
crossref = "Turner:1989:NAP",
pages = "156--164",
year = "1989",
bibdate = "Tue Nov 07 07:22:57 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Lozier:1990:CPL,
author = "Daniel W. Lozier and F. W. J. Olver",
title = "Closure and precision in level-index arithmetic",
journal = j-SIAM-J-NUMER-ANAL,
volume = "27",
number = "5",
pages = "1295--1304",
year = "1990",
CODEN = "SJNAAM",
DOI = "https://doi.org/10.1137/0727073",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65-04 (65G05)",
MRnumber = "1061130",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/fparith.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "SIAM Journal on Numerical Analysis",
journal-URL = "http://epubs.siam.org/sinum",
}
@Book{Olver:1990:CAS,
author = "F. Olver",
title = "{{\cyr Asimptotika i spetsial\cprime nye funktsii}}.
({Russian}) [Asymptotics and special functions]",
publisher = "``Nauka''",
address = "Moscow, USSR",
pages = "528",
year = "1990",
ISBN = "5-02-014228-X",
ISBN-13 = "978-5-02-014228-2",
MRclass = "41A60 (33-02 41-02)",
MRnumber = "1108396",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
note = "Translation by Yu. A. Brychkov of
\cite{Olver:1974:ASF}. Translation edited and with a
preface by A. P. Prudnikov",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
language = "Russian",
}
@InProceedings{Olver:1990:CCA,
author = "F. W. J. Olver",
title = "A Closed Computer Arithmetic",
crossref = "Swartzlander:1990:CAb",
pages = "360--364",
year = "19909",
bibdate = "Tue Nov 07 07:17:59 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
remark = "Reprinted from \cite{Olver:1987:CCA}.",
}
@InCollection{Olver:1990:REA,
author = "F. W. J. Olver",
title = "Rounding errors in algebraic processes---in
level-index arithmetic",
crossref = "Cox:1990:RNC",
pages = "197--205",
year = "1990",
MRclass = "65Y10 (65G99)",
MRnumber = "1098325",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/fparith.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@InProceedings{Olver:1990:SPC,
author = "Frank W. J. Olver",
title = "On {Stokes}' Phenomenon and Converging Factors",
crossref = "Wong:1990:ACA",
pages = "329--356",
year = "1990",
MRclass = "41A60 (30E15 33C99)",
MRnumber = "1052440",
MRreviewer = "James Geer",
bibdate = "Sun Nov 05 09:36:42 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
xxpages = "329--355",
}
@Article{Olver:1991:RUB,
author = "F. W. J. Olver",
title = "Book Review: {{\booktitle{Mathematical Function
Library for Microsoft-FORTRAN}}, by United
Laboratories, Inc.: Wiley, New York, 1989}",
journal = j-MATH-COMPUT,
volume = "56",
number = "194",
pages = "879--885",
month = apr,
year = "1991",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.1090/S0025-5718-91-99751-6",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Tue Nov 07 10:11:47 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/fortran3.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib",
URL = "https://www.ams.org/journals/mcom/1991-56-194/S0025-5718-91-99751-6",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Olver:1991:UEIa,
author = "F. W. J. Olver",
title = "Uniform, exponentially improved, asymptotic expansions
for the confluent hypergeometric function and other
integral transforms",
journal = j-SIAM-J-MATH-ANA,
volume = "22",
number = "5",
pages = "1475--1489",
year = "1991",
CODEN = "SJMAAH",
DOI = "https://doi.org/10.1137/0522095",
ISSN = "0036-1410 (print), 1095-7154 (electronic)",
ISSN-L = "0036-1410",
MRclass = "41A60 (33C15)",
MRnumber = "1112521",
MRreviewer = "Hans-J{\"u}rgen Glaeske",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "SIAM Journal on Mathematical Analysis",
journal-URL = "http://epubs.siam.org/sima",
}
@Article{Olver:1991:UEIb,
author = "F. W. J. Olver",
title = "Uniform, exponentially improved, asymptotic expansions
for the generalized exponential integral",
journal = j-SIAM-J-MATH-ANA,
volume = "22",
number = "5",
pages = "1460--1474",
year = "1991",
CODEN = "SJMAAH",
DOI = "https://doi.org/10.1137/0522094",
ISSN = "0036-1410 (print), 1095-7154 (electronic)",
ISSN-L = "0036-1410",
MRclass = "41A60 (33B20)",
MRnumber = "1112520",
MRreviewer = "Hans-J{\"u}rgen Glaeske",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "SIAM Journal on Mathematical Analysis",
journal-URL = "http://epubs.siam.org/sima",
}
@InProceedings{Olver:1992:CF,
author = "F. W. J. Olver",
title = "Converging factors",
crossref = "Martin:1992:WAP",
pages = "54--68",
year = "1992",
MRclass = "41A60",
MRnumber = "1174347",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@InProceedings{Lozier:1993:ABF,
author = "Daniel W. Lozier and F. W. J. Olver",
title = "{Airy} and {Bessel} Functions by Parallel Integration
of {ODEs}",
crossref = "Sincovec:1993:PSS",
pages = "530--538",
year = "1993",
bibdate = "Fri Jul 09 06:36:27 2004",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@InProceedings{Olver:1993:EIAa,
author = "F. W. J. Olver",
editor = "B. D. Sleeman and R. J. Jarvis",
booktitle = "Ordinary and partial differential equations, {Vol}.
{IV} ({Dundee}, 1992)",
title = "Exponentially improved asymptotic solutions of
ordinary differential equations",
volume = "289",
publisher = pub-LONGMAN,
address = pub-LONGMAN:adr,
pages = "238--247",
year = "1993",
ISBN = "0-582-09137-3",
ISBN-13 = "978-0-582-09137-5",
MRclass = "34E05 (34A20)",
MRnumber = "1234505",
MRreviewer = "Bernard J. Harris",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
series = "Pitman Res. Notes Math. Ser.",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Olver:1993:EIAb,
author = "F. W. J. Olver",
title = "Exponentially-improved asymptotic solutions of
ordinary differential equations. {I}. {The} confluent
hypergeometric function",
journal = j-SIAM-J-MATH-ANA,
volume = "24",
number = "3",
pages = "756--767",
month = may,
year = "1993",
CODEN = "SJMAAH",
DOI = "https://doi.org/10.1137/0524046",
ISSN = "0036-1410 (print), 1095-7154 (electronic)",
ISSN-L = "0036-1410",
MRclass = "34E05 (33C15)",
MRnumber = "94c:34082 (1215436)",
MRreviewer = "Hussain S. Nur",
bibdate = "Sun Nov 28 19:25:44 MST 2010",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/24/3;
https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/siamjmathana.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "SIAM Journal on Mathematical Analysis",
journal-URL = "http://epubs.siam.org/sima",
}
@TechReport{Lozier:1994:NESa,
author = "D. W. Lozier and F. W. J. Olver",
title = "Numerical evaluation of special functions",
type = "Report",
number = "NISTIR 5383",
institution = "Computing and Applied Mathematics Laboratory, U. S.
Department of Commerce",
address = "Washington, DC, USA",
pages = "47",
month = mar,
year = "1994",
MRclass = "65D20 (33-00)",
bibdate = "Thu Nov 16 07:52:34 2023",
bibsource = "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
URL = "https://math.nist.gov/~DLozier/publications/nistir5383.pdf",
abstract = "Higher transcendental functions continue to play
varied and important roles in investigations by
engineers, mathematicians, scientists and
statisticians. The purpose of this paper is to assist
in locating useful approximations and software for the
numerical generation of these functions, and to offer
some suggestions for future developments in this
field.",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
tableofcontents = "1. Introduction / 3 \\
2. Mathematical Developments / 5 \\
3. Packages, Libraries and Systems / 6 \\
3.1. Software Packages / 6 \\
3.2. Intermediate Libraries / 8 \\
3.3. Comprehensive Libraries / 8 \\
3.4. Interactive Systems / 12 \\
4. Functions of One Variable / 15 \\
4.1. Airy Functions / 15 \\
4.2. Error Functions, Dawson's Integral, Fresnel
Integrals, Goodwin--Staton Integral / 15 \\
4.3. Exponential Integrals, Logarithmic Integral, Sine
and Cosine Integrals / 16 \\
4.4. Gamma, Psi, and Polygamma Functions / 16 \\
4.5. Landau Density and Distribution Functions / 16 \\
4.6. Polylogarithms, Clausen Integral / 16 \\
4.7. Zeta Function / 17 \\
4.8. Additional Functions of One Variable / 17 \\
5. Functions of Two or More Variables / 17 \\
5.1. Bessel Functions / 17 \\
5.2. Coulomb Wave Functions / 18 \\
5.3. Elliptic Integrals and Functions / 18 \\
5.4. Fermi--Dirac, Bose--Einstein, and Debye Integrals
/ 19 \\
5.5. Hypergeometric and Concuent Hypergeometric
Functions / 19 \\
5.6. Incomplete Bessel Functions, Incomplete Beta
Function / 19 \\
5.7. Incomplete Gamma Functions, Generalized
Exponential Integrals / 20 \\
5.8. Legendre Functions and Associated Legendre
Functions / 20 \\
5.9. Mathieu, Lam{\'e}, and Spheroidal Wave Functions /
20 \\
5.10. Orthogonal Polynomials / 21 \\
5.11. Polylogarithms (Generalized) / 21 \\
5.12. Struve and Anger--Weber Functions / 21 \\
5.13. Weber Parabolic Cylinder Functions / 21 \\
5.14. Zeta Function (Generalized) / 21 \\
5.15. Additional Functions of Two or More Variables /
21 \\
6. Testing and Library Construction / 22 \\
7. Future Trends / 22 \\
Acknowledgments / 23 \\
A Note on the Reference Acronyms / 23 \\
References / 23--47",
}
@InProceedings{Lozier:1994:NESb,
author = "D. W. Lozier and F. W. J. Olver",
title = "Numerical evaluation of special functions",
crossref = "Gautschi:1994:MCH",
volume = "48",
pages = "79--125",
year = "1994",
DOI = "https://doi.org/10.1090/psapm/048/1314844",
MRclass = "65D20 (30-04 33-04 41-04)",
MRnumber = "95m:65036 (1314844)",
MRreviewer = "John P. Coleman",
bibdate = "Fri Jul 9 05:44:10 2004",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib",
series = "Proc. Sympos. Appl. Math.",
URL = "http://math.nist.gov/mcsd/Reports/2001/nesf/",
abstract = "Higher transcendental functions continue to play
varied and important roles in investigations by
engineers, mathematicians, scientists, and
statisticians. The purpose of this paper is to assist
in locating useful approximations and software for the
numerical generation of these functions, and to offer
some suggestions for future developments in the
field.",
acknowledgement = ack-nhfb,
remark = "The references list contains about 400 entries which
should ultimately be incorporated in this BibTeX
bibliography collection.",
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{OldeDaalhuis:1994:EIA,
author = "A. B. {Olde Daalhuis} and F. W. J. Olver",
title = "Exponentially improved asymptotic solutions of
ordinary differential equations. {II}. {Irregular}
singularities of rank one",
journal = j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
volume = "445",
number = "1923",
pages = "39--56",
year = "1994",
CODEN = "PRLAAZ",
DOI = "https://doi.org/10.1098/rspa.1994.0047",
ISSN = "0080-4630 (print), 2053-9169 (electronic)",
ISSN-L = "0080-4630",
MRclass = "34E05",
MRnumber = "1276904",
MRreviewer = "Hussain S. Nur",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "Proceedings of the Royal Society. London. Series A.
Mathematical, Physical and Engineering Sciences",
journal-URL = "http://rspa.royalsocietypublishing.org/",
}
@Article{Olver:1994:AEC,
author = "F. W. J. Olver",
title = "Asymptotic expansions of the coefficients in
asymptotic series solutions of linear differential
equations",
journal = j-METHODS-APPL-ANAL,
volume = "1",
number = "1",
pages = "1--13",
year = "1994",
DOI = "https://doi.org/10.4310/MAA.1994.v1.n1.a1",
ISSN = "1073-2772 (print), 1945-0001 (electronic)",
ISSN-L = "1073-2772",
MRclass = "34E05 (41A60)",
MRnumber = "1260379",
MRreviewer = "Archibald D. MacGillivray",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "Methods and Applications of Analysis",
journal-URL = "http://www.intlpress.com/MAA/",
}
@InProceedings{Olver:1994:GEI,
author = "F. W. J. Olver",
booktitle = "Approximation and computation ({West Lafayette, IN},
1993)",
title = "The generalized exponential integral",
volume = "119",
publisher = pub-BIRKHAUSER-BOSTON,
address = pub-BIRKHAUSER-BOSTON:adr,
pages = "497--510",
year = "1994",
ISBN = "0-8176-3753-2",
ISBN-13 = "978-0-8176-3753-8",
MRclass = "33B20 (34E05 41A60)",
MRnumber = "1333639",
MRreviewer = "Richard B. Paris",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
series = "Internat. Ser. Numer. Math.",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{OldeDaalhuis:1995:CSM,
author = "A. B. {Olde Daalhuis} and F. W. J. Olver",
title = "On the calculation of {Stokes} multipliers for linear
differential equations of the second order",
journal = j-METHODS-APPL-ANAL,
volume = "2",
number = "3",
pages = "348--367",
year = "1995",
DOI = "https://doi.org/10.4310/MAA.1995.v2.n3.a6",
ISSN = "1073-2772 (print), 1945-0001 (electronic)",
ISSN-L = "1073-2772",
MRclass = "34E05 (34A20)",
MRnumber = "1362021",
MRreviewer = "Archibald D. MacGillivray",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "Methods and Applications of Analysis",
journal-URL = "http://www.intlpress.com/MAA/",
}
@Article{OldeDaalhuis:1995:HSS,
author = "A. B. {Olde Daalhuis} and F. W. J. Olver",
title = "Hyperasymptotic solutions of second-order linear
differential equations. {I}",
journal = j-METHODS-APPL-ANAL,
volume = "2",
number = "2",
pages = "173--197",
year = "1995",
DOI = "https://doi.org/10.4310/MAA.1995.v2.n2.a4",
ISSN = "1073-2772 (print), 1945-0001 (electronic)",
ISSN-L = "1073-2772",
MRclass = "34E05 (33B20 33C10 34A20)",
MRnumber = "1350895",
MRreviewer = "A. D. Wood",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "Methods and Applications of Analysis",
journal-URL = "http://www.intlpress.com/MAA/",
}
@Article{Olver:1995:AER,
author = "F. W. J. Olver",
title = "On an asymptotic expansion of a ratio of gamma
functions",
journal = j-PROC-R-IR-ACAD-SECT-A,
volume = "95",
number = "1",
pages = "5--9",
year = "1995",
CODEN = "PRIAAK",
ISSN = "0035-8975",
ISSN-L = "0035-8975",
MRclass = "33B15 (34E05)",
MRnumber = "1369039",
MRreviewer = "Richard B. Paris",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
ajournal = "Proc. Roy. Irish Acad. Sect. A",
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "Proceedings of the Royal Irish Academy. Section A.
Mathematical and Physical Sciences",
journal-URL = "https://www.jstor.org/journal/mathprocria;
https://www.ria.ie/mathematical-proceedings-royal-irish-academy-0",
remark = "JSTOR has no content before v98A (1998), and ria.ie
site has no local journal archives.",
}
@Article{Olver:1997:ASL,
author = "F. W. J. Olver",
title = "Asymptotic solutions of linear ordinary differential
equations at an irregular singularity of rank unity",
journal = j-METHODS-APPL-ANAL,
volume = "4",
number = "4",
pages = "375--403",
year = "1997",
DOI = "https://doi.org/10.4310/MAA.1997.v4.n4.a2",
ISSN = "1073-2772 (print), 1945-0001 (electronic)",
ISSN-L = "1073-2772",
MRclass = "34E05 (34A20)",
MRnumber = "1605622",
MRreviewer = "A. D. Wood",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "Methods and Applications of Analysis",
journal-URL = "http://www.intlpress.com/MAA/",
}
@Article{Olver:1997:BRS,
author = "Frank W. J. Olver",
title = "Book Review: {{\em Special Functions: An Introduction
to the Classical Functions of Mathematical Physics}, by
Nico M. Temme}",
journal = j-SIAM-REVIEW,
volume = "39",
number = "2",
pages = "355--356",
month = jun,
year = "1997",
CODEN = "SIREAD",
DOI = "https://doi.org/10.1137/SIREAD000039000002000333000001",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
bibdate = "Wed Apr 29 18:02:24 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "SIAM Review",
journal-URL = "http://epubs.siam.org/sirev",
}
@Article{OldeDaalhuis:1998:ANS,
author = "A. B. {Olde Daalhuis} and F. W. J. Olver",
title = "On the asymptotic and numerical solution of linear
ordinary differential equations",
journal = j-SIAM-REVIEW,
volume = "40",
number = "3",
pages = "463--495",
year = "1998",
CODEN = "SIREAD",
DOI = "https://doi.org/10.1137/S0036144597315341",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
MRclass = "34E05 (34A30 65L99)",
MRnumber = "1642803",
MRreviewer = "W. Balser",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "SIAM Review",
journal-URL = "http://epubs.siam.org/sirev",
}
@InProceedings{Olver:1998:AAN,
author = "F. W. J. Olver",
editor = "H-H. Dai and P. L. Sachdev",
booktitle = "Recent advances in differential equations ({Kunming},
1997)",
title = "Advances in the asymptotic and numerical solution of
linear ordinary differential equations",
volume = "386",
publisher = pub-LONGMAN,
address = pub-LONGMAN:adr,
pages = "3--14",
year = "1998",
ISBN = "0-582-32219-7",
ISBN-13 = "978-0-582-32219-6",
MRclass = "34E05 (65L06)",
MRnumber = "1628037",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
series = "Pitman Res. Notes Math. Ser.",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@InCollection{Olver:1998:PPS,
author = "Frank William John Olver",
booktitle = "{Tricomi}'s ideas and contemporary applied mathematics
({Rome, 28--29 November, 1997\slash Turin, 1--2
December 1997})",
title = "Practical problems in the solution of high-order
linear differential equations",
volume = "147",
publisher = "Accademia Nazionale dei Lincei",
address = "Rome, Italy",
bookpages = "322",
pages = "239--249",
year = "1998",
ISSN = "0391-805X",
ISSN-L = "0391-805X",
LCCN = "QA299.6 .T75 1998",
MRclass = "34E05",
MRnumber = "1737498",
MRreviewer = "A. D. Wood",
bibdate = "Tue Nov 7 07:29:51 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
series = "Atti Convegni Lincei",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
subject-dates = "F. G. (Francesco Giacomo) Tricomi (1897--1978)",
xxpublisher = "Accad. Naz. Lincei",
}
@Article{Fabijonas:1999:RAE,
author = "Bruce R. Fabijonas and F. W. J. Olver",
title = "On the reversion of an asymptotic expansion and the
zeros of the {Airy} functions",
journal = j-SIAM-REVIEW,
volume = "41",
number = "4",
pages = "762--773",
year = "1999",
CODEN = "SIREAD",
DOI = "https://doi.org/10.1137/S0036144598349538",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
MRclass = "33C10 (33F05 41A60 65D20)",
MRnumber = "1723000",
MRreviewer = "Eberhard Wagner",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "SIAM Review",
journal-URL = "http://epubs.siam.org/sirev",
}
@Article{Olver:1999:UAS,
author = "F. W. J. Olver",
title = "On the uniqueness of asymptotic solutions of linear
differential equations",
journal = j-METHODS-APPL-ANAL,
volume = "6",
number = "2",
pages = "165--174",
year = "1999",
DOI = "https://doi.org/10.4310/MAA.1999.v6.n2.a3",
ISSN = "1073-2772 (print), 1945-0001 (electronic)",
ISSN-L = "1073-2772",
MRclass = "34E05 (34A30 34A45 34M30)",
MRnumber = "1803888",
MRreviewer = "P. K. Palamides",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
note = "Dedicated to Richard A. Askey on the occasion of his
65th birthday, Part II",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "Methods and Applications of Analysis",
journal-URL = "http://www.intlpress.com/MAA/",
}
@InProceedings{Olver:2000:RDE,
author = "F. W. J. Olver",
title = "Resurgence in difference equations, with an
application to {Legendre} functions",
crossref = "Dunkl:2000:PIW",
pages = "221--235",
year = "2000",
MRclass = "39A12 (39-02 41A60)",
MRnumber = "1805986",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Misc{Fabijonas:2004:AXA,
author = "Bruce R. Fabijonas and Daniel W. Lozier and Frank W.
Olver",
title = "Algorithm xxx: {Airy} Functions",
howpublished = "NIST Web site",
day = "15",
month = dec,
year = "2004",
bibdate = "Sun Nov 05 16:59:07 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
URL = "https://www.nist.gov/publications/algorithm-xxx-airy-functions",
abstract = "We present a Fortran 90 module which computes the
solutions of Airy's differential equation, and their
derivatives, both on the real line and in the complex
plane. The computational methods are numerical
integration of the differential equation and summation
of asymptotic expansions for large argument. The module
also computes the zeros and associated values of the
solutions and their derivatives, and modulus and phase
functions on the negative real axis",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Fabijonas:2004:CCA,
author = "B. R. Fabijonas and Daniel W. Lozier and F. W. J.
Olver",
title = "Computation of complex {Airy} functions and their
zeros using asymptotics and the differential equation",
journal = j-TOMS,
volume = "30",
number = "4",
pages = "471--490",
year = "2004",
CODEN = "ACMSCU",
DOI = "https://doi.org/10.1145/1039813.1039818",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
MRclass = "33F05 (65D20)",
MRnumber = "2124440",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/fparith.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "Association for Computing Machinery. Transactions on
Mathematical Software",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
}
@Article{Olver:2004:CCM,
author = "Frank Olver",
title = "{Charles Clenshaw}: Mathematician with a flair for
numerical analysis",
journal = j-GUARDIAN,
volume = "??",
number = "??",
pages = "??--??",
day = "28",
month = oct,
year = "2004",
ISSN = "0261-3077 (print), 1756-3224 (electronic)",
ISSN-L = "0261-3077",
bibdate = "Sun Nov 12 08:15:36 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
URL = "https://www.theguardian.com/news/2004/oct/29/guardianobituaries.obituaries",
acknowledgement = ack-nhfb,
fjournal = "The Guardian",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004); Frank William John Olver (15 December 1924--23
April 2013)",
}
@Misc{Olver:2009:HP,
author = "Frank W. J. Olver",
title = "Home page",
howpublished = "Archived Web site",
day = "13",
month = jul,
year = "2009",
bibdate = "Mon Nov 06 05:28:55 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
URL = "https://web.archive.org/web/20100530002944/http://www.ipst.umd.edu/researchandfaculty/Olver/",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@InCollection{Olver:2010:AA,
author = "F. W. J. Olver and R. Wong",
booktitle = "{NIST} handbook of mathematical functions",
title = "Asymptotic approximations",
publisher = "U.S. Department of Commerce",
address = "Washington, DC, USA",
pages = "41--70",
year = "2010",
ISBN = "0-521-14063-3",
ISBN-13 = "978-0-521-14063-8",
MRclass = "41A60 (65D20)",
MRnumber = "2655342",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@InCollection{Olver:2010:ARF,
author = "F. W. J. Olver",
booktitle = "{NIST} handbook of mathematical functions",
title = "{Airy} and related functions",
publisher = "U.S. Department of Commerce",
address = "Washington, DC, USA",
pages = "193--213",
year = "2010",
ISBN = "0-521-14063-3",
ISBN-13 = "978-0-521-14063-8",
MRclass = "33C10",
MRnumber = "2655349",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@InCollection{Olver:2010:BF,
author = "F. W. J. Olver and L. C. Maximon",
booktitle = "{NIST} handbook of mathematical functions",
title = "{Bessel} functions",
publisher = "U.S. Department of Commerce",
address = "Washington, DC, USA",
pages = "215--286",
year = "2010",
ISBN = "0-521-14063-3",
ISBN-13 = "978-0-521-14063-8",
MRclass = "33C10",
MRnumber = "2655350",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@InCollection{Roy:2010:AAM,
author = "R. Roy and F. W. J. Olver and R. A. Askey and R.
Wong",
booktitle = "{NIST} handbook of mathematical functions",
title = "Algebraic and analytic methods",
publisher = "U.S. Department of Commerce",
address = "Washington, DC, USA",
pages = "1--39",
year = "2010",
ISBN = "0-521-14063-3",
ISBN-13 = "978-0-521-14063-8",
MRclass = "26-01 (15-01 30-01)",
MRnumber = "2655341",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@InCollection{Roy:2010:EF,
author = "R. Roy and F. W. J. Olver",
booktitle = "{NIST} handbook of mathematical functions",
title = "Elementary functions",
publisher = "U.S. Department of Commerce",
address = "Washington, DC, USA",
pages = "103--134",
year = "2010",
ISBN = "0-521-14063-3",
ISBN-13 = "978-0-521-14063-8",
MRclass = "33B10",
MRnumber = "2655344",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Boisvert:2011:SFH,
author = "Ronald F. Boisvert and Charles W. Clark and Daniel W.
Lozier and Frank W. Olver",
title = "A Special Functions Handbook for the Digital Age",
journal = j-NAMS,
volume = "58",
number = "7",
pages = "905--911",
day = "1",
month = aug,
year = "2011",
CODEN = "AMNOAN",
ISSN = "0002-9920 (print), 1088-9477 (electronic)",
ISSN-L = "0002-9920",
bibdate = "Sun Nov 05 14:45:29 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
URL = "https://www.ams.org/journals/notices/201107/201107-full-issue.pdf;
https://www.nist.gov/publications/special-functions-handbook-digital-age",
abstract = "The NIST Digital Library of Mathematical Functions
(DLMF) is a reference work providing information on the
properties of the special functions of applied
mathematics. It is a successor to the highly successful
NBS Handbook of Mathematical Functions (Abramowitz and
Stegun, eds., 1964). The DLMF is distributed as both a
freely available online resource and as a traditional
printed handbook. Here we describe the project's origin
and how it was carried out. We also contrast the DLMF's
technical content with that of Abramowitz \& Stegun,
and describe some of its innovative online features",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "Notices of the American Mathematical Society",
journal-URL = "http://www.ams.org/notices/",
}
@Article{Olver:2014:MIM,
author = "F. W. J. Olver",
title = "Mathematics that has intrigued me",
journal = j-ANAL-APPL,
volume = "12",
number = "4",
pages = "341--354",
year = "2014",
DOI = "https://doi.org/10.1142/S0219530514500262",
ISSN = "0219-5305 (print), 1793-6861 (electronic)",
ISSN-L = "0219-5305",
MRclass = "33-03 (01A70 39A06 65-03)",
MRnumber = "3218916",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/benfords-law.bib",
note = "Lecture delivered at Asymptotics and Applied Analysis,
Conference in Honor of Frank W. J. Olver's 75th
Birthday, January 10--14, 2000, San Diego State
University, San Diego, California.",
acknowledgement = ack-nhfb,
ajournal = "Anal. Appl. (Singap.)",
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "Analysis and Applications",
journal-URL = "https://www.worldscientific.com/worldscinet/aa",
remark = "This paper was completed after Frank Olver's death by
his son, Peter J. Olver, from handwritten notes. It
also contains a summary of Frank Olver's education and
career. In the paper, Frank Olver discusses the
application of Benford's Law to test data selection.",
}
@Article{Kreyszig:1960:RUB,
author = "Erwin Kreyszig and John Todd",
title = "The radius of univalence of {Bessel} functions. {I}",
journal = j-ILL-J-MATH,
volume = "4",
number = "2",
pages = "143--149",
month = mar,
year = "1960",
CODEN = "IJMTAW",
DOI = "https://doi.org/10.1215/ijm/1255455740",
ISSN = "0019-2082 (print), 1945-6581 (electronic)",
ISSN-L = "0019-2082",
MRclass = "33.00 (30.00)",
MRnumber = "110827",
MRreviewer = "F. W. J. Olver",
bibdate = "Sat Oct 21 14:25:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib",
URL = "http://projecteuclid.org/euclid.ijm/1255455740",
ZMnumber = "0091.06203",
acknowledgement = ack-nhfb,
fjournal = "Illinois Journal of Mathematics",
journal-URL = "https://projecteuclid.org/journals/illinois-journal-of-mathematics",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013); John Todd (16 May 1911--21 June 2007)",
ZBmath = "3148561",
}
@Book{Knol:1970:GTR,
author = "Wolter Knol",
title = "Generalizations of two relations in {Bessel} function
theory",
publisher = "Rijksuniversiteit te Groningen",
address = "Groningen, The Netherlands",
pages = "iii + 118",
year = "1970",
MRclass = "33A40",
MRnumber = "357897",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
note = "Doctoral dissertation, University of Groningen",
acknowledgement = ack-nhfb,
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Chatterjea:1971:ODS,
author = "S. K. Chatterjea",
title = "Operational derivation of some generating functions of
the {Bessel} polynomials",
journal = "Math. Balkanica",
volume = "1",
pages = "293--297",
year = "1971",
ISSN = "0350-2007",
MRclass = "33.25",
MRnumber = "289821",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematica Balkanica",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Olkha:1971:GBF,
author = "G. S. Olkha and P. N. Rathie",
title = "On a generalized {Bessel} function and an integral
transform",
journal = j-MATH-NACHR,
volume = "51",
number = "1--6",
pages = "231--240",
year = "1971",
CODEN = "MTMNAQ",
DOI = "https://doi.org/10.1002/mana.19710510115",
ISSN = "0022-2526 (print), 1467-9590 (electronic)",
ISSN-L = "0022-2526",
MRclass = "33A40",
MRnumber = "306574",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematische Nachrichten",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1522-2616",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Heading:1972:FEA,
author = "John Heading",
title = "Further exact and approximate considerations of the
barrier problem",
journal = j-J-INST-MATH-APPL,
volume = "10",
number = "??",
pages = "312--324",
year = "1972",
CODEN = "JMTAA8",
ISSN = "0020-2932",
ISSN-L = "0020-2932",
MRclass = "78.34",
MRnumber = "49 #1927 (337155)",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/jinstmathappl.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of the Institute of Mathematics and its
Applications",
journal-URL = "http://imamat.oxfordjournals.org/content/by/year",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Lakin:1972:BVP,
author = "W. D. Lakin",
title = "Boundary value problems with a turning point",
journal = j-STUD-APPL-MATH,
volume = "51",
pages = "261--275",
year = "1972",
CODEN = "SAPMB6",
DOI = "https://doi.org/10.1002/sapm1972513261",
ISSN = "0022-2526 (print), 1467-9590 (electronic)",
ISSN-L = "0022-2526",
MRclass = "34E20",
MRnumber = "355236",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
fjournal = "Studies in Applied Mathematics",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1467-9590",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Muldoon:1972:SIW,
author = "M. E. Muldoon",
title = "Singular integrals whose kernels involve certain
{Sturm--Liouville} functions. {II}",
journal = j-INDIANA-U-MATH,
volume = "22",
number = "1",
pages = "51--63",
year = "1972/73",
CODEN = "IUMJAB",
DOI = "https://doi.org/10.1512/iumj.1972.22.22007",
ISSN = "0022-2518",
ISSN-L = "0022-2518",
MRclass = "44A25 (40G05)",
MRnumber = "299994",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
fjournal = "Indiana University Mathematics Journal",
journal-URL = "http://www.iumj.indiana.edu/",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Steinig:1972:SLF,
author = "J. Steinig",
title = "The sign of {Lommel}'s function",
journal = j-TRANS-AM-MATH-SOC,
volume = "163",
pages = "123--129",
year = "1972",
CODEN = "TAMTAM",
DOI = "https://doi.org/10.2307/1995711",
ISSN = "0002-9947 (print), 1088-6850 (electronic)",
ISSN-L = "0002-9947",
MRclass = "33.25",
MRnumber = "284625",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
fjournal = "Transactions of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/tran/",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Bhatnagar:1973:LTI,
author = "P. L. Bhatnagar",
title = "{Lommel} type integrals involving products of three
{Bessel} functions",
journal = "Comment. Math. Univ. St. Paul.",
volume = "22",
number = "1",
pages = "1--11",
year = "1973",
ISSN = "0010-258X",
MRclass = "33A40",
MRnumber = "328155",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
fjournal = "Commentarii Mathematici Universitatis Sancti Pauli",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Lorch:1973:SMP,
author = "Lee Lorch and M. E. Muldoon and Peter Szego",
title = "Some monotonicity properties of {Bessel} functions",
journal = j-SIAM-J-MATH-ANA,
volume = "4",
number = "2",
pages = "385--392",
month = may,
year = "1973",
CODEN = "SJMAAH",
DOI = "https://doi.org/10.1137/0504034",
ISSN = "0036-1410 (print), 1095-7154 (electronic)",
ISSN-L = "0036-1410",
MRclass = "33A40",
MRnumber = "338479",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Mathematical Analysis",
journal-URL = "http://epubs.siam.org/sima",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Ojha:1973:SRG,
author = "S. N. Ojha",
title = "Some results of generalised {Legendre} polynomials",
journal = "Math. Education",
volume = "7",
pages = "A84--A89",
year = "1973",
MRclass = "33A45",
MRnumber = "335885",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
fjournal = "The Mathematics Education",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Salchev:1973:DZC,
author = "L. Z. Salchev and V. B. Popov",
title = "Determination of the zeros of a cross-product {Bessel}
function",
journal = j-PROC-CAMBRIDGE-PHIL-SOC,
volume = "74",
number = "3",
pages = "477--483",
month = nov,
year = "1973",
CODEN = "PCPSA4",
DOI = "https://doi.org/10.1017/s0305004100077240",
ISSN = "0008-1981",
ISSN-L = "0008-1981",
MRclass = "33A40",
MRnumber = "324097",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
fjournal = "Proceedings of the Cambridge Philosophical Society",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=PSP",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Parodi:1974:SDT,
author = "Maurice Parodi",
title = "Sur la s{\'e}rie dont le terme g{\'e}n{\'e}ral est
{\'e}gal {\`a} la somme des puissances $ \mu $-i{\`e}me
des z{\'e}ros d'un polyn{\^o}me de {Legendre}.
({French}) [{On} the series whose general term is equal
to the sum of the $ \mu $-th powers of the zeros of a
{Legendre} polynomial]",
journal = "C. R. Acad. Sci. Paris S\'{e}r. A",
volume = "278",
pages = "153--154",
year = "1974",
ISSN = "0302-8429",
MRclass = "33A45",
MRnumber = "335886",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
fjournal = "Comptes Rendus Hebdomadaires des S\'{e}ances de
l'Acad\'{e}mie des Sciences. S\'{e}rie A. Sciences
Math\'{e}matiques",
language = "French",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Heading:1975:BBT,
author = "John Heading",
title = "Barriers bounded by two transition points of arbitrary
odd order",
journal = j-PROC-R-SOC-EDINB-SECT-A-MATH,
volume = "73",
pages = "51--64",
year = "1975",
CODEN = "PEAMDU",
DOI = "https://doi.org/10.1017/S0308210500016279",
ISSN = "0308-2105 (print), 1473-7124 (electronic)",
ISSN-L = "0308-2105",
MRclass = "34E20 (34A20)",
MRnumber = "387752",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
fjournal = "Proceedings of the Royal Society of Edinburgh. Section
A. Mathematics",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=PRM",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Headley:1975:DZG,
author = "V. B. Headley and V. K. Barwell",
title = "On the distribution of the zeros of generalized {Airy}
functions",
journal = j-MATH-COMPUT,
volume = "29",
number = "131",
pages = "863--877",
month = jul,
year = "1975",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2005299",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "65D20 (33A70)",
MRnumber = "378360",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{MacGillivray:1975:UCP,
author = "A. D. MacGillivray",
title = "On {Ursell}'s combinatorial problem",
journal = j-J-MATH-PHYS,
volume = "16",
number = "9",
pages = "1735--1738",
year = "1975",
CODEN = "JMAPAQ",
DOI = "https://doi.org/10.1063/1.522773",
ISSN = "0022-2488",
ISSN-L = "0022-2488",
MRclass = "33A70 (34E05)",
MRnumber = "385206",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Paris:1975:ABS,
author = "R. B. Paris",
title = "The asymptotic behaviour of solutions of the
differential equation $ d^4 u / d z^4 + [z^2 (d^2 u /
d z^2) + a z (d u / d z) + b u] = 0 $",
journal = j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
volume = "346",
number = "1645",
pages = "171--207",
year = "1975",
CODEN = "PRLAAZ",
DOI = "https://doi.org/10.1098/rspa.1975.0172",
ISSN = "0962-8444 (print), 2053-9177 (electronic)",
ISSN-L = "0962-8444",
MRclass = "34E05 (33A40)",
MRnumber = "390401",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
fjournal = "Proceedings of the Royal Society. London. Series A.
Mathematical, Physical and Engineering Sciences",
journal-URL = "http://rspa.royalsocietypublishing.org/",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Boersma:1976:PLI,
author = "J. Boersma",
title = "Problem 75-20, ``{Limit} of an integral'', by {M. L.
Glasser}",
journal = j-SIAM-REVIEW,
volume = "18",
number = "4",
pages = "770--772",
year = "1976",
CODEN = "SIREAD",
DOI = "https://doi.org/10.1137/1018126",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
MRclass = "33A40",
MRnumber = "409924",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Review. A Publication of the Society for
Industrial and Applied Mathematics",
journal-URL = "http://epubs.siam.org/sirev",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Buschman:1976:LFI,
author = "R. G. Buschman",
title = "{Legendre} functions, inequalities and partial
derivatives",
journal = "Ranchi Univ. Math. J.",
volume = "7",
pages = "28--32",
year = "1976",
ISSN = "0079-9602",
MRclass = "33A45",
MRnumber = "591700",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
fjournal = "Ranchi University Mathematical Journal",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Ismail:1976:BPS,
author = "Mourad E. H. Ismail and Douglas H. Kelker",
title = "The {Bessel} polynomials and the {Student} $t$
distribution",
journal = j-SIAM-J-MATH-ANA,
volume = "7",
number = "1",
pages = "82--91",
year = "1976",
CODEN = "SJMAAH",
DOI = "https://doi.org/10.1137/0507009",
ISSN = "0036-1410 (print), 1095-7154 (electronic)",
ISSN-L = "0036-1410",
MRclass = "62E15 (33A40)",
MRnumber = "391343",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Mathematical Analysis",
journal-URL = "http://epubs.siam.org/sima",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Tremblay:1976:SIP,
author = "Richard Tremblay and Marie-Louis Lavertu",
title = "Sur une s{\'e}rie impliquant les puissances des
z{\'e}ros d'un polyn{\^o}me",
journal = j-C-R-ACAD-SCI-PARIS-SER-AB,
volume = "282",
number = "3",
pages = "Aii, A155--A157",
year = "1976",
CODEN = "CHASAP",
ISSN = "0151-0509",
MRclass = "33A65 (30A08)",
MRnumber = "397053",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
fjournal = "Comptes Rendus Hebdomadaires des S\'{e}ances de
l'Acad\'{e}mie des Sciences. S\'{e}ries A et B",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Berg:1977:ARA,
author = "L. Berg",
title = "Zur {Absch}{\"a}tzung des {Restgliedes} in der
asymptotischen {Entwicklung} des
{Exponentialintegrals}",
journal = j-COMPUTING,
volume = "18",
number = "4",
pages = "361--363",
year = "1977",
CODEN = "CMPTA2",
DOI = "https://doi.org/10.1007/BF02244022",
ISSN = "0010-485X (print), 1436-5057 (electronic)",
ISSN-L = "0010-485X",
MRclass = "33A15 (41A60)",
MRnumber = "477181",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
fjournal = "Computing. Archives for Scientific Computing",
journal-URL = "http://link.springer.com/journal/607",
language = "German",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Bottema:1977:ZBP,
author = "O. Bottema",
title = "On the zeros of the {Bessel} polynomials",
journal = j-INDAG-MATH,
volume = "39",
number = "5",
pages = "380--382",
year = "1977",
CODEN = "IMTHBJ",
ISSN = "0019-3577, 0023-3358",
ISSN-L = "0019-3577",
MRclass = "33A65",
MRnumber = "463530",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
note = "Nederl. Akad. Wetensch. Proc. Ser. A {\bf 80}",
acknowledgement = ack-nhfb,
fjournal = "",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Ismail:1977:IRC,
author = "Mourad E. H. Ismail",
title = "Integral representations and complete monotonicity of
various quotients of {Bessel} functions",
journal = j-CAN-J-MATH,
volume = "29",
number = "6",
pages = "1198--1207",
year = "1977",
CODEN = "CJMAAB",
DOI = "https://doi.org/10.4153/CJM-1977-119-5",
ISSN = "0008-414X",
ISSN-L = "0008-414X",
MRclass = "33A40 (44A20)",
MRnumber = "463527",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics. Journal Canadien de
Math\'{e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{McCann:1977:LBZ,
author = "Roger C. McCann",
title = "Lower bounds for the zeros of {Bessel} functions",
journal = j-PROC-AM-MATH-SOC,
volume = "64",
number = "1",
pages = "101--103",
year = "1977",
CODEN = "PAMYAR",
DOI = "https://doi.org/10.2307/2040991",
ISSN = "0002-9939 (print), 1088-6826 (electronic)",
ISSN-L = "0002-9939",
MRclass = "33A40",
MRnumber = "442316",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
fjournal = "Proceedings of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/proc",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Cash:1978:EOM,
author = "J. R. Cash",
title = "An extension of {Olver}'s method for the numerical
solution of linear recurrence relations",
journal = j-MATH-COMPUT,
volume = "32",
number = "142",
pages = "497--510",
month = apr,
year = "1978",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2006159",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "65Q05",
MRnumber = "483578",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4170 (Differential equations)",
corpsource = "Dept. of Math., Imperial Coll., London, UK",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "differential equations; Gaussian elimination; linear
recurrence; numerical solution; Olver's method;
relations; truncation error; unstable error
propagation",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
treatment = "T Theoretical or Mathematical",
}
@Article{Davis:1978:NEL,
author = "A. M. J. Davis",
title = "Non-existence of large eigenvalues of a third order
differential equation",
journal = j-MATHEMATIKA,
volume = "25",
number = "1",
pages = "151--159",
year = "1978",
CODEN = "MTKAAB",
DOI = "https://doi.org/10.1112/S0025579300009372",
ISSN = "0025-5793",
MRclass = "34B05 (34E20)",
MRnumber = "499403",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematika. A Journal of Pure and Applied
Mathematics",
journal-URL = "https://www.cambridge.org/core/journals/mathematika/all-issues",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Temme:1978:UAE,
author = "N. M. Temme",
title = "Uniform asymptotic expansions of confluent
hypergeometric functions",
journal = j-J-INST-MATH-APPL,
volume = "22",
number = "2",
pages = "215--223",
year = "1978",
CODEN = "JMTAA8",
ISSN = "0020-2932",
ISSN-L = "0020-2932",
MRclass = "33A30",
MRnumber = "80a:33004 (509160)",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
https://www.math.utah.edu/pub/tex/bib/jinstmathappl.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Journal of the Institute of Mathematics and its
Applications",
journal-URL = "http://imamat.oxfordjournals.org/content/by/year",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Baldwin:1979:UAS,
author = "P. Baldwin",
title = "Uniform approximations to solutions of a linear
second-order differential equation outside a
vanishingly small region containing two asymptotically
coincident t",
journal = j-QUART-J-MECH-APPLIED-MATH,
volume = "32",
number = "2",
pages = "187--204",
year = "1979",
CODEN = "QJMMAV",
DOI = "https://doi.org/10.1093/qjmam/32.2.187",
ISSN = "0033-5614 (print), 1464-3855 (electronic)",
ISSN-L = "0033-5614",
MRclass = "34E20 (33A40)",
MRnumber = "537352",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
fjournal = "The Quarterly Journal of Mechanics and Applied
Mathematics",
journal-URL = "http://qjmam.oxfordjournals.org/content/by/year",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Hinton:1979:SMC,
author = "F. L. Hinton",
title = "{Stokes} multipliers for a class of ordinary
differential equations",
journal = j-J-MATH-PHYS,
volume = "20",
number = "10",
pages = "2036--2046",
month = oct,
year = "1979",
CODEN = "JMAPAQ",
DOI = "https://doi.org/10.1063/1.523969",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
MRclass = "34E20 (33A30 33A55)",
MRnumber = "80m:34055 (546768)",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "http://jmp.aip.org/;
https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/jmathphys1975.bib",
URL = "http://jmp.aip.org/resource/1/jmapaq/v20/i10/p2036_s1",
acknowledgement = ack-nhfb,
classification = "A0230 (Function theory, analysis)",
corpsource = "Fusion Res. Center, Univ. of Texas, Austin, TX, USA",
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
keywords = "irregular singular point; linear differential
equations; ordinary differential equations; Stokes
multipliers; Whittaker's equation",
onlinedate = "29 July 2008",
pagecount = "11",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
treatment = "T Theoretical or Mathematical",
}
@Article{Kohno:1979:EAF,
author = "Mitsuhiko Kohno",
title = "An extended {Airy} function of the first kind",
journal = "Hiroshima Math. J.",
volume = "9",
number = "2",
pages = "473--489",
year = "1979",
ISSN = "0018-2079",
MRclass = "33A70 (34E05)",
MRnumber = "535522",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
URL = "http://projecteuclid.org/euclid.hmj/1206134896",
acknowledgement = ack-nhfb,
fjournal = "Hiroshima Mathematical Journal",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Muldoon:1979:ZCP,
author = "M. E. Muldoon",
title = "On the zeros of a cross-product of {Bessel} functions
of different orders",
journal = j-Z-ANGE-MATH-MECH,
volume = "59",
number = "6",
pages = "272--273",
year = "1979",
CODEN = "ZAMMAX",
DOI = "https://doi.org/10.1002/zamm.19790590611",
ISSN = "0044-2267 (print), 1521-4001 (electronic)",
ISSN-L = "0044-2267",
MRclass = "33A40",
MRnumber = "545781",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
fjournal = "Zeitschrift f{\"{u}}r Angewandte Mathematik und
Mechanik. Ingenieurwissenschaftliche
Forschungsarbeiten",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1521-4001",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Coleman:1980:DRO,
author = "J. P. Coleman",
title = "Divergence rules {OK}?",
journal = j-MATH-GAZ,
volume = "64",
number = "429",
pages = "180--184",
year = "1980",
CODEN = "MAGAAS",
DOI = "https://doi.org/10.2307/3615121",
ISSN = "0025-5572 (print), 2056-6328 (electronic)",
ISSN-L = "0025-5572",
MRclass = "41A60 (40A05)",
MRnumber = "594846",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
fjournal = "The Mathematical Gazette",
journal-URL = "http://www.jstor.org/journal/mathgaze",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Fransen:1980:HPV,
author = "Arne Frans{\'e}n and Staffan Wrigge",
title = "High-precision values of the gamma function and of
some related coefficients",
journal = j-MATH-COMPUT,
volume = "34",
number = "150",
pages = "553--566",
month = apr,
year = "1980",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2006104",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "65A05 (65D20)",
MRnumber = "81f:65004 (559204)",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
JSTOR database",
note = "See addendum and corrigendum
\cite{Fransen:1981:ACH}.",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Fu:1980:AEB,
author = "J. C. Fu and R. Wong",
title = "An asymptotic expansion of a beta-type integral and
its application to probabilities of large deviations",
journal = j-PROC-AM-MATH-SOC,
volume = "79",
number = "3",
pages = "410--414",
year = "1980",
CODEN = "PAMYAR",
DOI = "https://doi.org/10.2307/2043076",
ISSN = "0002-9939 (print), 1088-6826 (electronic)",
ISSN-L = "0002-9939",
MRclass = "60F10 (41A60 62E20)",
MRnumber = "567982",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
fjournal = "Proceedings of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/proc",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Jordan:1980:BRC,
author = "W. B. Jordan",
title = "Book Review: {{\booktitle{A Conjectured Property of
Legendre Functions}} (A. K. Raina and V. Singh)}",
journal = j-SIAM-REVIEW,
volume = "22",
number = "3",
pages = "369--372",
month = jul,
year = "1980",
CODEN = "SIREAD",
DOI = "https://doi.org/10.1137/1022067",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
MRclass = "41A60 (33A45)",
MRnumber = "81m:41032",
MRreviewer = "F. W. J. Olver",
bibdate = "Sat Mar 29 09:53:11 MDT 2014",
bibsource = "http://epubs.siam.org/toc/siread/22/3;
https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Review",
journal-URL = "http://epubs.siam.org/sirev",
onlinedate = "July 1980",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Jordan:1980:CPL,
author = "W. B. Jordan",
title = "A conjectured property of {Legendre} functions",
journal = j-SIAM-REVIEW,
volume = "22",
number = "3",
pages = "369--372",
year = "1980",
CODEN = "SIREAD",
DOI = "https://doi.org/10.1137/1022067",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
MRclass = "41A60 (33A45)",
MRnumber = "584382",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Review. A Publication of the Society for
Industrial and Applied Mathematics",
journal-URL = "http://epubs.siam.org/sirev",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Leo:1980:SFR,
author = "Mario Leo and Rosario Antonio Leo and Giulio Soliani",
title = "On a special function related to a class of solutions
of certain nonlinear wave equations",
journal = "Rend. Sem. Mat. Univ. Politec. Torino",
volume = "38",
number = "1",
pages = "87--110",
year = "1980",
ISSN = "0373-1243",
MRclass = "33A70 (35Q20)",
MRnumber = "608932",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
fjournal = "Rendiconti del Seminario Matematico (gi\`a
``Conferenze di Fisica e di Matematica''). Universit\`a
e Politecnico di Torino",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Meyer:1980:EA,
author = "R. E. Meyer",
title = "Exponential Asymptotics",
journal = j-SIAM-REVIEW,
volume = "22",
number = "2",
pages = "213--224",
month = apr,
year = "1980",
CODEN = "SIREAD",
DOI = "https://doi.org/10.1137/1022030",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
MRclass = "41A60 (34E20)",
MRnumber = "81c:41070 (564565)",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "http://epubs.siam.org/toc/siread/22/2;
https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Review. A Publication of the Society for
Industrial and Applied Mathematics",
journal-URL = "http://epubs.siam.org/sirev",
onlinedate = "April 1980",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Paris:1980:AES,
author = "R. B. Paris and A. D. Wood",
title = "The asymptotic expansion of solutions of the
differential equation $ u^{\rm iv} + \lambda^2 [(z^2 +
c)u^{\prime \prime } + a z u^{\prime } + b u] = 0 $
for large $ |z| $",
journal = j-PHILOS-TRANS-R-SOC-LOND-SER-A,
volume = "293",
number = "1404",
pages = "511--533",
year = "1980",
CODEN = "PTRMAD, PTMSFB",
DOI = "https://doi.org/10.1098/rsta.1980.0002",
ISSN = "0080-4614 (print), 2054-0272 (electronic)",
ISSN-L = "1364-503X",
MRclass = "34E05",
MRnumber = "557816",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
fjournal = "Philosophical Transactions of the Royal Society of
London. Series A. Mathematical and Physical Sciences",
journal-URL = "http://rsta.royalsocietypublishing.org/",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Skinner:1980:UVE,
author = "L. A. Skinner",
title = "Uniformly Valid Expansions for {Laplace} Integrals",
journal = j-SIAM-J-MATH-ANA,
volume = "11",
number = "6",
pages = "1058--1067",
month = nov,
year = "1980",
CODEN = "SJMAAH",
DOI = "https://doi.org/10.1137/0511093",
ISSN = "0036-1410 (print), 1095-7154 (electronic)",
ISSN-L = "0036-1410",
MRclass = "41A60",
MRnumber = "82i:41038a (595831)",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/11/6;
https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/siamjmathana.bib",
note = "See erratum \cite{Skinner:1981:EUV}.",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Mathematical Analysis",
journal-URL = "http://epubs.siam.org/sima",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Soni:1980:UAE,
author = "Kusum Soni",
title = "On uniform asymptotic expansions of finite {Laplace}
and {Fourier} integrals",
journal = j-PROC-R-SOC-EDINB-SECT-A-MATH,
volume = "85",
number = "3--4",
pages = "299--305",
year = "1980",
CODEN = "PEAMDU",
DOI = "https://doi.org/10.1017/S0308210500011872",
ISSN = "0308-2105 (print), 1473-7124 (electronic)",
ISSN-L = "0308-2105",
MRclass = "41A60",
MRnumber = "574023",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
fjournal = "Proceedings of the Royal Society of Edinburgh. Section
A. Mathematics",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=PRM",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Wimp:1980:USF,
author = "Jet Wimp",
title = "Uniform scale functions and the asymptotic expansion
of integrals",
journal = j-LECT-NOTES-MATH,
volume = "827",
pages = "251--271",
year = "1980",
CODEN = "LNMAA2",
DOI = "https://doi.org/10.1007/BFb0091383",
ISBN = "3-540-10252-3 (print), 3-540-38346-8 (e-book)",
ISBN-13 = "978-3-540-10252-6 (print), 978-3-540-38346-8
(e-book)",
ISSN = "0075-8434 (print), 1617-9692 (electronic)",
ISSN-L = "0075-8434",
MRclass = "41-02 (41A60)",
MRnumber = "610820 (82g:41002)",
MRreviewer = "F. W. J. Olver",
bibdate = "Fri May 9 19:07:28 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/lnm1980.bib",
URL = "http://link.springer.com/chapter/10.1007/BFb0091383/",
acknowledgement = ack-nhfb,
book-DOI = "https://doi.org/10.1007/BFb0091371",
book-URL = "http://www.springerlink.com/content/978-3-540-38346-8",
fjournal = "Lecture Notes in Mathematics",
journal-URL = "http://link.springer.com/bookseries/304",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Wong:1980:UAE,
author = "R. Wong",
title = "On a uniform asymptotic expansion of a {Fourier}-type
integral",
journal = j-QUART-APPL-MATH,
volume = "38",
number = "2",
pages = "225--234",
year = "1980/81",
CODEN = "QAMAAY",
DOI = "https://doi.org/10.1090/qam/580880",
ISSN = "0033-569X (print), 1552-4485 (electronic)",
ISSN-L = "0033-569X",
MRclass = "41A60",
MRnumber = "580880",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
fjournal = "Quarterly of Applied Mathematics",
journal-URL = "http://dl.acm.org/citation.cfm?id=J641;
http://www.ams.org/journals/qam",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Boyd:1981:SLE,
author = "John P. Boyd",
title = "{Sturm--Liouville} eigenproblems with an interior
pole",
journal = j-J-MATH-PHYS,
volume = "22",
number = "8",
pages = "1575--1590",
month = aug,
year = "1981",
CODEN = "JMAPAQ",
DOI = "https://doi.org/10.1063/1.525100",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
MRclass = "34E20 (34B25 65L15)",
MRnumber = "82k:34067 (628532)",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "http://jmp.aip.org/;
https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/jmathphys1980.bib",
URL = "http://jmp.aip.org/resource/1/jmapaq/v22/i8/p1575_s1",
acknowledgement = ack-nhfb,
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
pagecount = "16",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Painter:1981:NCM,
author = "J. F. Painter and R. E. Meyer",
title = "New connection method across more general turning
points",
journal = j-BULL-AMS-N-S,
volume = "4",
number = "3",
pages = "335--338",
year = "1981",
CODEN = "BAMOAD",
DOI = "https://doi.org/10.1090/S0273-0979-1981-14906-5",
ISSN = "0273-0979 (print), 1088-9485 (electronic)",
ISSN-L = "0273-0979",
MRclass = "34E20 (41A60)",
MRnumber = "609045",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Society. Bulletin. New Series",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Skinner:1981:EUV,
author = "L. A. Skinner",
title = "Erratum: {``Uniformly valid expansions for Laplace
integrals''}",
journal = j-SIAM-J-MATH-ANA,
volume = "12",
number = "3",
pages = "487--487",
month = may,
year = "1981",
CODEN = "SJMAAH",
DOI = "https://doi.org/10.1137/0512042",
ISSN = "0036-1410 (print), 1095-7154 (electronic)",
ISSN-L = "0036-1410",
MRclass = "41A60",
MRnumber = "82i:41038b",
bibdate = "Sun Nov 28 19:22:42 MST 2010",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/12/3;
https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/siamjmathana.bib",
note = "See \cite{Skinner:1980:UVE}.",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Mathematical Analysis",
journal-URL = "http://epubs.siam.org/sima",
}
@Article{Temme:1982:UAE,
author = "N. M. Temme",
title = "The uniform asymptotic expansion of a class of
integrals related to cumulative distribution
functions",
journal = j-SIAM-J-MATH-ANA,
volume = "13",
number = "2",
pages = "239--253",
month = mar,
year = "1982",
CODEN = "SJMAAH",
DOI = "https://doi.org/10.1137/0513017",
ISSN = "0036-1410 (print), 1095-7154 (electronic)",
ISSN-L = "0036-1410",
MRclass = "41A60 (33A15 62E20)",
MRnumber = "83e:41036 (647123)",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/13/2;
https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/siamjmathana.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Mathematical Analysis",
journal-URL = "http://epubs.siam.org/sima",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Dammert:1983:TTS,
author = "{\"O}rjan Dammert",
title = "Transmission through a system of potential barriers.
{I}. {Transmission} coefficient",
journal = j-J-MATH-PHYS,
volume = "24",
number = "8",
pages = "2163--2175",
month = aug,
year = "1983",
CODEN = "JMAPAQ",
DOI = "https://doi.org/10.1063/1.525969",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
MRclass = "81F20 (34E20 81C05)",
MRnumber = "84j:81119 (713549)",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "http://jmp.aip.org/;
https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/jmathphys1980.bib",
URL = "http://jmp.aip.org/resource/1/jmapaq/v24/i8/p2163_s1",
acknowledgement = ack-nhfb,
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
pagecount = "13",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Duval:1983:EAI,
author = "Anne Duval",
title = "{{\'E}}tude asymptotique d'une int{\'e}grale analogue
{\`a} la fonction `{$ \Gamma $} modifi{\'e}e'.
({French}) []",
journal = j-LECT-NOTES-MATH,
volume = "1015",
pages = "50--63",
year = "1983",
CODEN = "LNMAA2",
DOI = "https://doi.org/10.1007/BFb0071349",
ISBN = "3-540-12684-8 (print), 3-540-38674-2 (e-book)",
ISBN-13 = "978-3-540-12684-3 (print), 978-3-540-38674-2
(e-book)",
ISSN = "0075-8434 (print), 1617-9692 (electronic)",
ISSN-L = "0075-8434",
MRclass = "41A60 (33A15 58G15)",
MRnumber = "766242 (86b:41036)",
MRreviewer = "F. W. J. Olver",
bibdate = "Fri May 9 19:07:07 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/lnm1980.bib",
URL = "http://link.springer.com/chapter/10.1007/BFb0071349/;
https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
book-DOI = "https://doi.org/10.1007/BFb0071347",
book-URL = "http://www.springerlink.com/content/978-3-540-38674-2",
fjournal = "Lecture Notes in Mathematics",
journal-URL = "http://link.springer.com/bookseries/304",
language = "French",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Ludwig:1983:PA,
author = "Donald Ludwig",
title = "Parsimonious Asymptotics",
journal = j-SIAM-J-APPL-MATH,
volume = "43",
number = "4",
pages = "664--672",
month = aug,
year = "1983",
CODEN = "SMJMAP",
DOI = "https://doi.org/10.1137/0143045",
ISSN = "0036-1399 (print), 1095-712x (electronic)",
ISSN-L = "0036-1399",
MRclass = "41A60 (92A15)",
MRnumber = "85g:41040 (709731)",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "Compendex database;
https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/siamjapplmath.bib;
JSTOR database",
acknowledgement = ack-nhfb,
affiliation = "Univ of British Columbia, Dep of Mathematics,
Vancouver, BC, Can",
classification = "471; 921",
fjournal = "SIAM Journal on Applied Mathematics",
journal-URL = "http://epubs.siam.org/siap",
journalabr = "SIAM J Appl Math",
keywords = "fisheries; mathematical techniques; waves ---
Diffraction",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{McClure:1983:EBM,
author = "J. P. McClure and R. Wong",
title = "Error bounds for multidimensional {Laplace}
approximation",
journal = j-J-APPROX-THEORY,
volume = "37",
number = "4",
pages = "372--390",
year = "1983",
CODEN = "JAXTAZ",
DOI = "https://doi.org/10.1016/0021-9045(83)90044-8",
ISSN = "0021-9045 (print), 1096-0430 (electronic)",
ISSN-L = "0021-9045",
MRclass = "41A60 (41A63)",
MRnumber = "697493",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Approximation Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/00219045",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Salzer:1983:NDG,
author = "Herbert E. Salzer",
title = "Note on the {Do{\v{c}}ev--Grosswald} asymptotic series
for generalized {Bessel} polynomials",
journal = j-J-COMPUT-APPL-MATH,
volume = "9",
number = "2",
pages = "131--135",
year = "1983",
CODEN = "JCAMDI",
DOI = "https://doi.org/10.1016/0377-0427(83)90036-5",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
ISSN-L = "0377-0427",
MRclass = "33A40 (65D20)",
MRnumber = "709212",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
note = "See errata \cite{Salzer:1984:END}.",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/03770427",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Sikkema:1983:ACO,
author = "P. C. Sikkema",
title = "On approximation with convolution operators containing
three parameters",
journal = j-DELFT-PROG-REP,
volume = "8",
number = "4",
pages = "298--310",
year = "1983",
CODEN = "DPRED2",
ISSN = "0304-985X",
MRclass = "41A35",
MRnumber = "733006",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
fjournal = "Delft Progress Report",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Stadje:1983:PPS,
author = "Wolfgang Stadje",
title = "Probabilistic proofs of some formulas for {Bessel}
functions",
journal = "Nederl. Akad. Wetensch. Indag. Math.",
volume = "45",
number = "3",
pages = "343--359",
year = "1983",
ISSN = "0019-3577, 0023-3358",
MRclass = "33A40 (60E99)",
MRnumber = "718075",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
fjournal = "Koninklijke Nederlandse Akademie van Wetenschappen.
Indagationes Mathematicae",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Temme:1983:UAE,
author = "Nico M. Temme",
title = "Uniform asymptotic expansions of {Laplace} integrals",
journal = "Analysis",
volume = "3",
number = "1--4",
pages = "221--249",
year = "1983",
DOI = "https://doi.org/10.1524/anly.1983.3.14.221",
ISSN = "0174-4747 (print), 2196-6753 (electronic)",
ISSN-L = "0174-4747",
MRclass = "41A60 (44A10)",
MRnumber = "756117",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
fjournal = "Analysis. International Journal of Analysis and its
Application",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Wong:1983:ASR,
author = "R. Wong",
title = "Applications of some recent results in asymptotic
expansions",
journal = j-CONG-NUM,
volume = "37",
pages = "145--182",
year = "1983",
ISSN = "0384-9864",
MRclass = "41A60 (41-02)",
MRnumber = "703584",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
fjournal = "Congressus Numerantium. A Conference Journal on
Numerical Themes",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Berndt:1984:CRS,
author = "Bruce C. Berndt and Ronald J. Evans",
title = "Chapter 13 of {Ramanujan}'s second notebook: integrals
and asymptotic expansions",
journal = "Exposition. Math.",
volume = "2",
number = "4",
pages = "289--347",
year = "1984",
ISSN = "0723-0869 (print), 1878-0792 (electronic)",
MRclass = "01A60 (33-03 41A60)",
MRnumber = "782613",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
fjournal = "Expositiones Mathematicae. International Journal for
Pure and Applied Mathematics",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Pryce:1984:NMR,
author = "J. D. Pryce",
title = "A New Measure of Relative Error for Vectors",
journal = j-SIAM-J-NUMER-ANAL,
volume = "21",
number = "1",
pages = "202--215",
month = feb,
year = "1984",
CODEN = "SJNAAM",
DOI = "https://doi.org/10.1137/0721015",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65G99 (65J05)",
MRnumber = "85i:65061 (731224)",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Numerical Analysis",
journal-URL = "http://epubs.siam.org/sinum",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Salzer:1984:END,
author = "H. E. Salzer",
title = "Errata: ``{Note} on the {Do{\v{c}}ev--Grosswald}
asymptotic series for generalized {Bessel}
polynomials''",
journal = j-J-COMPUT-APPL-MATH,
volume = "10",
number = "1",
pages = "133",
month = feb,
year = "1984",
CODEN = "JCAMDI",
DOI = "https://doi.org/10.1016/0377-0427(84)90077-3",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
ISSN-L = "0377-0427",
MRclass = "33A40 (65D20)",
MRnumber = "736595",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
note = "See \cite{Salzer:1983:NDG}.",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/03770427",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@InCollection{Calmet:1985:SMR,
author = "J. Calmet and I. Cohen",
booktitle = "The second {RIKEN} international symposium on symbolic
and algebraic computation by computer ({Wako}-shi,
1984)",
title = "Symbolic manipulation of recurrence relations. {An}
approach to the manipulation of special functions",
volume = "2",
publisher = pub-WORLD-SCI,
address = pub-WORLD-SCI:adr,
pages = "55--65",
year = "1985",
ISBN = "9971-5-0021-3",
ISBN-13 = "978-9971-5-0021-4",
MRclass = "33-04 (11Y99 12-04)",
MRnumber = "835950",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
series = "World Sci. Ser. Comput. Sci.",
acknowledgement = ack-nhfb,
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Frenzen:1985:NAE,
author = "C. L. Frenzen and R. Wong",
title = "A note on asymptotic evaluation of some {Hankel}
transforms",
journal = j-MATH-COMPUT,
volume = "45",
number = "172",
pages = "537--548",
month = oct,
year = "1985",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2008143",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "41A60 (44A15 65R10)",
MRnumber = "87c:41024 (804942)",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0230 (Integral transforms); B0290Z (Other numerical
methods)C1130 (Integral transforms); C4190 (Other
numerical methods)",
corpsource = "Dept. of Math., British Columbia Univ., Vancouver, BC,
Canada",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "asymptotic expansion; Bessel function; Bessel
functions; growth condition; Hankel transforms;
meromorphic function; transforms",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
treatment = "T Theoretical or Mathematical",
}
@Article{Igarashi:1985:PPA,
author = "Masao Igarashi",
title = "Practical problems arising for finding roots of
nonlinear equations",
journal = j-APPL-NUM-MATH,
volume = "1",
number = "5",
pages = "433--455",
month = sep,
year = "1985",
CODEN = "ANMAEL",
DOI = "https://doi.org/10.1016/0168-9274(85)90005-4",
ISSN = "0168-9274 (print), 1873-5460 (electronic)",
ISSN-L = "0168-9274",
MRclass = "65H05 (65G05 65H10)",
MRnumber = "86m:65045 (801242)",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/applnummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Applied Numerical Mathematics: Transactions of IMACS",
journal-URL = "http://www.sciencedirect.com/science/journal/01689274/",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Boyd:1986:UAS,
author = "W. G. C. Boyd and T. M. Dunster",
title = "Uniform asymptotic solutions of a class of
second-order linear differential equations having a
turning point and a regular singularity, with an
application to {Legendre} functions",
journal = j-SIAM-J-MATH-ANA,
volume = "17",
number = "2",
pages = "422--450",
month = mar,
year = "1986",
CODEN = "SJMAAH",
DOI = "https://doi.org/10.1137/0517033",
ISSN = "0036-1410 (print), 1095-7154 (electronic)",
ISSN-L = "0036-1410",
MRclass = "34E05 (33A45 34E20)",
MRnumber = "87c:34094 (826704)",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/17/2;
https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/siamjmathana.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Mathematical Analysis",
journal-URL = "http://epubs.siam.org/sima",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Dammert:1986:TTS,
author = "{\"O}rjan Dammert",
title = "Transmission through a system of potential barriers.
{II}. {Necessary} condition for complete transparency.
{A} maximum transmission problem",
journal = j-J-MATH-PHYS,
volume = "27",
number = "2",
pages = "461--470",
month = feb,
year = "1986",
CODEN = "JMAPAQ",
DOI = "https://doi.org/10.1063/1.527244",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
MRclass = "81F20 (34E20 81C05)",
MRnumber = "87c:81175 (824389)",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "http://jmp.aip.org/;
https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/jmathphys1985.bib",
URL = "http://jmp.aip.org/resource/1/jmapaq/v27/i2/p461_s1",
acknowledgement = ack-nhfb,
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
pagecount = "10",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Leubner:1986:NUA,
author = "C. Leubner and H. Ritsch",
title = "A note on the uniform asymptotic expansion of
integrals with coalescing endpoint and saddle points",
journal = j-J-PHYS-A,
volume = "19",
number = "3",
pages = "329--335",
year = "1986",
CODEN = "JPHAC5",
ISSN = "0305-4470 (print), 1361-6447 (electronic)",
ISSN-L = "0305-4470",
MRclass = "41A60 (58C27 81C35)",
MRnumber = "832583",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
URL = "http://stacks.iop.org/0305-4470/19/329",
acknowledgement = ack-nhfb,
fjournal = "Journal of Physics. A. Mathematical and General",
journal-URL = "http://iopscience.iop.org/1751-8121",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Smith:1986:LGA,
author = "Donald R. Smith",
title = "{Liouville--Green} approximations via the {Riccati}
transformation",
journal = j-J-MATH-ANAL-APPL,
volume = "116",
number = "1",
pages = "147--165",
year = "1986",
CODEN = "JMANAK",
DOI = "https://doi.org/10.1016/0022-247X(86)90048-X",
ISSN = "0022-247x (print), 1096-0813 (electronic)",
ISSN-L = "0022-247X",
MRclass = "34E20",
MRnumber = "837343",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Mathematical Analysis and Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/0022247X",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Wazwaz:1986:MUA,
author = "Abdul-Majid Wazwaz and Floyd B. Hanson",
title = "Matched Uniform Approximations for a Singular Boundary
Point and an Interior Turning Point",
journal = j-SIAM-J-APPL-MATH,
volume = "46",
number = "6",
pages = "943--961",
month = dec,
year = "1986",
CODEN = "SMJMAP",
DOI = "https://doi.org/10.1137/0146056",
ISSN = "0036-1399 (print), 1095-712x (electronic)",
ISSN-L = "0036-1399",
MRclass = "34E05",
MRnumber = "88d:34070a (866274)",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "Compendex database;
https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/siamjapplmath.bib;
JSTOR database",
acknowledgement = ack-nhfb,
affiliationaddress = "Coll of Science and Technology, Jerusalem, Isr",
classification = "921",
fjournal = "SIAM Journal on Applied Mathematics",
journal-URL = "http://epubs.siam.org/siap",
journalabr = "SIAM J Appl Math",
keywords = "asymptotic approximations; Differential Equations;
interior turning point; matched uniform approximations;
mathematical techniques; second-order differential
equations; singular boundary point",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Wazwaz:1986:SBR,
author = "Abdul-Majid Wazwaz and Floyd B. Hanson",
title = "Singular Boundary Resonance with Turning Point
Resonance",
journal = j-SIAM-J-APPL-MATH,
volume = "46",
number = "6",
pages = "962--977",
month = dec,
year = "1986",
CODEN = "SMJMAP",
DOI = "https://doi.org/10.1137/0146057",
ISSN = "0036-1399 (print), 1095-712x (electronic)",
ISSN-L = "0036-1399",
MRclass = "34E05 (34B25 34E20)",
MRnumber = "88d:34070b (866275)",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "Compendex database;
https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/siamjapplmath.bib;
JSTOR database",
acknowledgement = ack-nhfb,
affiliationaddress = "Coll of Science \& Technology, Jerusalem, Isr",
classification = "921",
fjournal = "SIAM Journal on Applied Mathematics",
journal-URL = "http://epubs.siam.org/siap",
journalabr = "SIAM J Appl Math",
keywords = "Differential Equations; exponential precision;
mathematical techniques; singular boundary resonance;
singularly perturbed equation; turning point
resonance",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Allasia:1987:NCI,
author = "Giampietro Allasia and Renata Besenghi",
title = "Numerical calculation of incomplete gamma functions by
the trapezoidal rule",
journal = j-NUM-MATH,
volume = "50",
number = "4",
pages = "419--428",
month = jul,
year = "1987",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF01396662",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65D20 (33A15 65D30)",
MRnumber = "88f:65034 (875166)",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290R (Integral equations); C4180 (Integral
equations)",
corpsource = "Dipartimento di Matematica, Torino Univ., Italy",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
keywords = "Euler--Maclaurin formula; incomplete gamma functions;
integral equations; integral representation; numerical
calculation; trapezoidal rule",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
treatment = "T Theoretical or Mathematical",
}
@Article{Carlson:1987:TEI,
author = "B. C. Carlson",
title = "A Table of Elliptic Integrals of the Second Kind",
journal = j-MATH-COMPUT,
volume = "49",
number = "180",
pages = "595--606, S13--S17",
month = oct,
year = "1987",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2008332",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "65A05 (33A25 65V05)",
MRnumber = "89b:65013 (906192)",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4160 (Numerical integration and differentiation);
C7310 (Mathematics)",
corpsource = "Dept. of Math., Iowa State Univ., Ames, IA, USA",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "elliptic integrals of the second kind; FORTRAN
listings; integration; mathematics computing; standard
R-functions",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
treatment = "P Practical; T Theoretical or Mathematical; X
Experimental",
}
@Article{Ursell:1987:UAE,
author = "F. Ursell",
title = "Uniformly asymptotic expansions for an integral with a
large and a small parameter",
journal = j-MATH-PROC-CAMB-PHILOS-SOC,
volume = "101",
number = "2",
pages = "349--362",
year = "1987",
CODEN = "MPCPCO",
DOI = "https://doi.org/10.1017/S0305004100066718",
ISSN = "0305-0041 (print), 1469-8064 (electronic)",
ISSN-L = "0305-0041",
MRclass = "41A60",
MRnumber = "870607",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematical Proceedings of the Cambridge
Philosophical Society",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=PSP",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Baratella:1988:BET,
author = "Paola Baratella and Luigi Gatteschi",
title = "The bounds for the error term of an asymptotic
approximation of {Jacobi} polynomials",
journal = j-LECT-NOTES-MATH,
volume = "1329",
pages = "203--221",
year = "1988",
CODEN = "LNMAA2",
DOI = "https://doi.org/10.1007/BFb0083360",
ISBN = "3-540-19489-4 (print), 3-540-39295-5 (e-book)",
ISBN-13 = "978-3-540-19489-7 (print), 978-3-540-39295-8
(e-book)",
ISSN = "0075-8434 (print), 1617-9692 (electronic)",
ISSN-L = "0075-8434",
MRclass = "33A65 (41A60 65D15)",
MRnumber = "973428 (90e:33028)",
MRreviewer = "F. W. J. Olver",
bibdate = "Thu May 15 18:46:23 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/lnm1985.bib",
URL = "http://link.springer.com/chapter/10.1007/BFb0083360/",
acknowledgement = ack-nhfb,
book-DOI = "https://doi.org/10.1007/BFb0083349",
book-URL = "http://www.springerlink.com/content/978-3-540-39295-8",
fjournal = "Lecture Notes in Mathematics",
journal-URL = "http://link.springer.com/bookseries/304",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Carlson:1988:TEI,
author = "B. C. Carlson",
title = "A Table of Elliptic Integrals of the Third Kind",
journal = j-MATH-COMPUT,
volume = "51",
number = "183",
pages = "267--280, S1--S5",
month = jul,
year = "1988",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2008590",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "33A25 (65A05)",
MRnumber = "89k:33003 (942154)",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290R (Integral equations); B0220 (Analysis); B0290D
(Functional analysis); B0290M (Numerical integration
and differentiation); C4180 (Integral equations); C1120
(Analysis); C4120 (Functional analysis); C4160
(Numerical integration and differentiation)",
corpsource = "Iowa State Univ., Ames, IA, USA",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "Cauchy principal values; elliptic integrals; FORTRAN
listings; function evaluation; integral equations;
integration; points; real singular; recurrence
relations; standard R-functions",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{Frenzen:1988:UAE,
author = "C. L. Frenzen and R. Wong",
title = "Uniform asymptotic expansions of {Laguerre}
polynomials",
journal = j-SIAM-J-MATH-ANA,
volume = "19",
number = "5",
pages = "1232--1248",
month = sep,
year = "1988",
CODEN = "SJMAAH",
DOI = "https://doi.org/10.1137/0519087",
ISSN = "0036-1410 (print), 1095-7154 (electronic)",
ISSN-L = "0036-1410",
MRclass = "33A65 (33A40 41A60)",
MRnumber = "89k:33012 (957682)",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/19/5;
https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/siamjmathana.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Mathematical Analysis",
journal-URL = "http://epubs.siam.org/sima",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Qu:1988:SCL,
author = "C. K. Qu and R. Wong",
title = "{Szeg{\H{o}}}'s conjecture on {Lebesgue} constants for
{Legendre} series",
journal = j-PAC-J-MATH,
volume = "135",
number = "1",
pages = "157--188",
year = "1988",
CODEN = "PJMAAI",
DOI = "https://doi.org/10.2140/pjm.1988.135.157",
ISSN = "0030-8730 (print), 1945-5844 (electronic)",
ISSN-L = "0030-8730",
MRclass = "42C10 (33A45)",
MRnumber = "965689",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
URL = "http://projecteuclid.org/euclid.pjm/1102688349",
acknowledgement = ack-nhfb,
fjournal = "Pacific Journal of Mathematics",
journal-URL = "http://msp.org/pjm",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Sharapudinov:1988:AFH,
author = "I. I. Sharapudinov",
title = "An asymptotic formula having no remainder term for the
orthogonal {Hahn} polynomials of discrete variable",
journal = "Math. Balkanica (N.S.)",
volume = "2",
number = "4",
pages = "314--318",
year = "1988",
ISSN = "0205-3217",
MRclass = "33A65",
MRnumber = "997621",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematica Balkanica. New Series",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Shivakumar:1988:EBU,
author = "P. N. Shivakumar and R. Wong",
title = "Error bounds for a uniform asymptotic expansion of the
{Legendre} function {$ P_n^{-m}({\rm cosh} z) $}",
journal = j-QUART-APPL-MATH,
volume = "46",
number = "3",
pages = "473--488",
year = "1988",
CODEN = "QAMAAY",
DOI = "https://doi.org/10.1090/qam/963583",
ISSN = "0033-569X (print), 1552-4485 (electronic)",
ISSN-L = "0033-569X",
MRclass = "33A45 (41A60)",
MRnumber = "963583",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
fjournal = "Quarterly of Applied Mathematics",
journal-URL = "http://dl.acm.org/citation.cfm?id=J641;
http://www.ams.org/journals/qam",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Dunster:1989:UAE,
author = "T. M. Dunster",
title = "Uniform asymptotic expansions for {Whittaker}'s
confluent hypergeometric functions",
journal = j-SIAM-J-MATH-ANA,
volume = "20",
number = "3",
pages = "744--760",
month = may,
year = "1989",
CODEN = "SJMAAH",
DOI = "https://doi.org/10.1137/0520052",
ISSN = "0036-1410 (print), 1095-7154 (electronic)",
ISSN-L = "0036-1410",
MRclass = "33A30 (34E20)",
MRnumber = "90e:33012 (990876)",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/20/3;
https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/siamjmathana.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Mathematical Analysis",
journal-URL = "http://epubs.siam.org/sima",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@InCollection{Temme:1989:CSF,
author = "N. M. Temme",
booktitle = "Numerical and applied mathematics, {Part} {II}
({Paris}, 1988)",
title = "On the computation of special functions by using
asymptotic expansions",
volume = "1.2",
publisher = "Baltzer",
address = "Basel, Switzerland",
pages = "463--466",
year = "1989",
ISBN = "3-905135-60-4",
ISBN-13 = "978-3-905135-60-2",
MRclass = "33B20 (33C10 41A60)",
MRnumber = "1066043",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
series = "IMACS Ann. Comput. Appl. Math.",
acknowledgement = ack-nhfb,
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@InCollection{Wong:1989:SRR,
author = "R. Wong",
booktitle = "Numerical and applied mathematics, {Part} {II}
({Paris}, 1988)",
title = "Some recent results in uniform asymptotic expansions
of special functions",
volume = "1.2",
publisher = "Baltzer",
address = "Basel, Switzerland",
pages = "473--477",
year = "1989",
ISBN = "3-905135-60-4",
ISBN-13 = "978-3-905135-60-2",
MRclass = "33C45 (33C50 41A60)",
MRnumber = "1066045",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
series = "IMACS Ann. Comput. Appl. Math.",
acknowledgement = ack-nhfb,
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Berry:1990:H,
author = "M. V. Berry and C. J. Howls",
title = "Hyperasymptotics",
journal = j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
volume = "430",
number = "1880",
pages = "653--668",
year = "1990",
CODEN = "PRLAAZ",
DOI = "https://doi.org/10.1098/rspa.1990.0111",
ISSN = "0962-8444 (print), 2053-9177 (electronic)",
ISSN-L = "0962-8444",
MRclass = "34E20 (41A60 65D99 65L99)",
MRnumber = "1070081",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
fjournal = "Proceedings of the Royal Society. London. Series A.
Mathematical, Physical and Engineering Sciences",
journal-URL = "http://rspa.royalsocietypublishing.org/",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Dunster:1990:UAS,
author = "T. M. Dunster",
title = "Uniform Asymptotic Solutions of Second-Order Linear
Differential Equations Having a Double Pole with
Complex Exponent and a Coalescing Turning Point",
journal = j-SIAM-J-MATH-ANA,
volume = "21",
number = "6",
pages = "1594--1618",
month = nov,
year = "1990",
CODEN = "SJMAAH",
DOI = "https://doi.org/10.1137/0521087",
ISSN = "0036-1410 (print), 1095-7154 (electronic)",
ISSN-L = "0036-1410",
MRclass = "34E20 (33C10 33C65)",
MRnumber = "91m:34069 (1075593)",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/21/6;
https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/siamjmathana.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Mathematical Analysis",
journal-URL = "http://epubs.siam.org/sima",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Fitouhi:1990:UEE,
author = "A. Fitouhi and M. M. Hamza",
title = "A Uniform Expansion for the Eigenfunction of a
Singular Second-Order Differential Operator",
journal = j-SIAM-J-MATH-ANA,
volume = "21",
number = "6",
pages = "1619--1632",
month = nov,
year = "1990",
CODEN = "SJMAAH",
DOI = "https://doi.org/10.1137/0521088",
ISSN = "0036-1410 (print), 1095-7154 (electronic)",
ISSN-L = "0036-1410",
MRclass = "33C45 (34E05 34L40)",
MRnumber = "92a:33006 (1075594)",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/21/6;
https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/siamjmathana.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Mathematical Analysis",
journal-URL = "http://epubs.siam.org/sima",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Frenzen:1990:EBU,
author = "C. L. Frenzen",
title = "Error Bounds for a Uniform Asymptotic Expansion of the
{Legendre} Function {$ Q_n^{-m} (\cosh z) $}",
journal = j-SIAM-J-MATH-ANA,
volume = "21",
number = "2",
pages = "523--535",
month = mar,
year = "1990",
CODEN = "SJMAAH",
DOI = "https://doi.org/10.1137/0521028",
ISSN = "0036-1410 (print), 1095-7154 (electronic)",
ISSN-L = "0036-1410",
MRclass = "33C55 (41A60)",
MRnumber = "91g:33014 (1038905)",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/21/2;
https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/siamjmathana.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Mathematical Analysis",
journal-URL = "http://epubs.siam.org/sima",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Boersma:1991:UAB,
author = "J. Boersma",
title = "Uniform asymptotics of a {Bessel}-function series
occurring in a transmission-line problem",
journal = j-J-COMPUT-APPL-MATH,
volume = "37",
number = "1--3",
pages = "143--159",
year = "1991",
CODEN = "JCAMDI",
DOI = "https://doi.org/10.1016/0377-0427(91)90113-X",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
ISSN-L = "0377-0427",
MRclass = "41A60 (33C10 94A05)",
MRnumber = "1136920",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/03770427",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Chen:1991:AJP,
author = "Li-Chen Chen and Mourad E. H. Ismail",
title = "On Asymptotics of {Jacobi} Polynomials",
journal = j-SIAM-J-MATH-ANA,
volume = "22",
number = "5",
pages = "1442--1449",
month = sep,
year = "1991",
CODEN = "SJMAAH",
DOI = "https://doi.org/10.1137/0522092",
ISSN = "0036-1410 (print), 1095-7154 (electronic)",
ISSN-L = "0036-1410",
MRclass = "33C45",
MRnumber = "92g:33011 (1112518)",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/22/5;
https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/siamjmathana.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Mathematical Analysis",
journal-URL = "http://epubs.siam.org/sima",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
xxauthor = "Chen Li-Chen and Mourad E. H. Ismail",
}
@Article{Dunster:1991:CFO,
author = "T. M. Dunster",
title = "Conical functions with one or both parameters large",
journal = j-PROC-R-SOC-EDINB-SECT-A-MATH,
volume = "119",
number = "3--4",
pages = "311--327",
year = "1991",
CODEN = "PEAMDU",
DOI = "https://doi.org/10.1017/S0308210500014864",
ISSN = "0308-2105 (print), 1473-7124 (electronic)",
ISSN-L = "0308-2105",
MRclass = "33C05 (65D20)",
MRnumber = "1135977",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
fjournal = "Proceedings of the Royal Society of Edinburgh. Section
A. Mathematics",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=PRM",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Dunster:1991:CFS,
author = "T. M. Dunster and D. A. Lutz",
title = "Convergent Factorial Series Expansions for {Bessel}
Functions",
journal = j-SIAM-J-MATH-ANA,
volume = "22",
number = "4",
pages = "1156--1172",
month = jul,
year = "1991",
CODEN = "SJMAAH",
DOI = "https://doi.org/10.1137/0522075",
ISSN = "0036-1410 (print), 1095-7154 (electronic)",
ISSN-L = "0036-1410",
MRclass = "33C10",
MRnumber = "92g:33004 (1112072)",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/22/4;
https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/siamjmathana.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Mathematical Analysis",
journal-URL = "http://epubs.siam.org/sima",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Hsu:1991:KAE,
author = "Leetsch C. Hsu and Wen Chang Chu",
title = "A kind of asymptotic expansion using partitions",
journal = "Tohoku Math. J. (2)",
volume = "43",
number = "2",
pages = "235--242",
year = "1991",
DOI = "https://doi.org/10.2748/tmj/1178227494",
ISSN = "0040-8735",
MRclass = "41A60 (05A17 33C45)",
MRnumber = "1104429",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
fjournal = "The Tohoku Mathematical Journal. Second Series",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Walker:1991:IDG,
author = "Peter Walker",
title = "Infinitely differentiable generalized logarithmic and
exponential functions",
journal = j-MATH-COMPUT,
volume = "57",
number = "196",
pages = "723--733",
month = oct,
year = "1991",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2938713",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "33E99 (65Q05)",
MRnumber = "92d:33049 (1094963)",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290K (Nonlinear and functional equations); C4150
(Nonlinear and functional equations)",
corpsource = "Sultan Qaboos Univ., Muscat, Oman",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "differentiable; exponential functions; functional
equations; infinitely; logarithmic functions",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
treatment = "T Theoretical or Mathematical",
}
@Article{Berndt:1992:AES,
author = "Bruce C. Berndt and Ronald J. Evans",
title = "Asymptotic expansion of a series of {Ramanujan}",
journal = j-PROC-EDINBURGH-MATH-SOC-2,
volume = "35",
number = "2",
pages = "189--199",
year = "1992",
CODEN = "PEMSA3",
DOI = "https://doi.org/10.1017/S0013091500005472",
ISSN = "0013-0915 (print), 1464-3839 (electronic)",
ISSN-L = "0013-0915",
MRclass = "41A60 (33B15)",
MRnumber = "1169239",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
fjournal = "Proceedings of the Edinburgh Mathematical Society.
Series II",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=PEM",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Paris:1992:SSP,
author = "R. B. Paris",
title = "Smoothing of the {Stokes} phenomenon for high-order
differential equations",
journal = j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
volume = "436",
number = "1896",
pages = "165--186",
year = "1992",
CODEN = "PRLAAZ",
DOI = "https://doi.org/10.1098/rspa.1992.0012",
ISSN = "0962-8444 (print), 2053-9177 (electronic)",
ISSN-L = "0962-8444",
MRclass = "34E05 (33C15)",
MRnumber = "1177128",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
fjournal = "Proceedings of the Royal Society. London. Series A.
Mathematical, Physical and Engineering Sciences",
journal-URL = "http://rspa.royalsocietypublishing.org/",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Temme:1992:AII,
author = "N. M. Temme",
title = "Asymptotic Inversion of Incomplete Gamma Functions",
journal = j-MATH-COMPUT,
volume = "58",
number = "198",
pages = "755--764",
month = apr,
year = "1992",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2153214",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "33B20",
MRnumber = "93a:33003 (1122079)",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@InCollection{Jones:1993:ASR,
author = "D. S. Jones",
booktitle = "Ordinary and partial differential equations, {Vol}.
{IV} ({Dundee}, 1992)",
title = "Asymptotic series and remainders",
volume = "289",
publisher = pub-LONGMAN,
address = pub-LONGMAN:adr,
pages = "112--125",
year = "1993",
ISBN = "0-582-09137-3",
ISBN-13 = "978-0-582-09137-5",
MRclass = "41A60 (03H05 26E35)",
MRnumber = "1234501",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
series = "Pitman Res. Notes Math. Ser.",
acknowledgement = ack-nhfb,
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Skinner:1993:MAE,
author = "L. A. Skinner",
title = "Matched asymptotic expansions of integrals",
journal = j-IMA-J-APPL-MATH,
volume = "50",
number = "1",
pages = "77--90",
month = "????",
year = "1993",
CODEN = "IJAMDM",
DOI = "https://doi.org/10.1093/imamat/50.1.77",
ISSN = "0272-4960 (print), 1464-3634 (electronic)",
ISSN-L = "0272-4960",
MRclass = "41A60 (33C10)",
MRnumber = "94e:41043 (1206844)",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "Compendex database;
https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/imajapplmath.bib;
https://www.math.utah.edu/pub/tex/bib/macsyma.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
affiliation = "Univ of Wisconsin",
affiliationaddress = "Milwaukee, WI, USA",
classification = "723.5; 921.3; 921.6",
fjournal = "IMA Journal of Applied Mathematics",
journal-URL = "http://imamat.oxfordjournals.org/content/by/year",
journalabr = "IMA J Appl Math",
keywords = "Algorithms; Bessel function expansion; Coalescing
critical points; Computational methods; Computer
programming; Computer software; Integral equations;
Laplace method expansions; Laplace transforms; Matched
asymptotic expansions; Numerical methods; Software
package MACSYMA",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Dai:1994:GAE,
author = "Hui-Hui Dai",
title = "On the general asymptotic expansions of {$ H^{(1)}_v
$}-transform and related {Bessel} transforms",
journal = "Analysis",
volume = "14",
number = "1",
pages = "19--41",
year = "1994",
DOI = "https://doi.org/10.1524/anly.1994.14.1.19",
ISSN = "0174-4747",
MRclass = "41A60 (33C10 44A15)",
MRnumber = "1280527",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
fjournal = "Analysis. International Mathematical Journal of
Analysis and its Applications",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Paris:1994:GPI,
author = "R. B. Paris",
title = "A Generalization of {Pearcey}'s Integral",
journal = j-SIAM-J-MATH-ANA,
volume = "25",
number = "2",
pages = "630--645",
month = mar,
year = "1994",
CODEN = "SJMAAH",
DOI = "https://doi.org/10.1137/S0036141092230544",
ISSN = "0036-1410 (print), 1095-7154 (electronic)",
ISSN-L = "0036-1410",
MRclass = "33E20 (40A10 41A60)",
MRnumber = "95e:33025 (1266582)",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/25/2;
https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/siamjmathana.bib",
URL = "http://epubs.siam.org/sam-bin/dbq/article/23054",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Mathematical Analysis",
journal-URL = "http://epubs.siam.org/sima",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{OldeDaalhuis:1995:SPM,
author = "A. B. {Olde Daalhuis} and S. J. Chapman and J. R. King
and J. R. Ockendon and R. H. Tew",
title = "{Stokes} Phenomenon and Matched Asymptotic
Expansions",
journal = j-SIAM-J-APPL-MATH,
volume = "55",
number = "6",
pages = "1469--1483",
month = dec,
year = "1995",
CODEN = "SMJMAP",
DOI = "https://doi.org/10.1137/S0036139994261769",
ISSN = "0036-1399 (print), 1095-712X (electronic)",
ISSN-L = "0036-1399",
MRclass = "34E05 (33B20 34A20 35C20 41A60)",
MRnumber = "96j:34097 (1358785)",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "Compendex database;
http://epubs.siam.org/toc/smjmap/55/6;
https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/siamjapplmath.bib",
URL = "http://epubs.siam.org/sam-bin/dbq/article/26176",
acknowledgement = ack-nhfb,
affiliation = "Univ of Oxford",
affiliationaddress = "Oxford, Engl",
classification = "921; 921.2; 921.4",
fjournal = "SIAM Journal on Applied Mathematics",
journal-URL = "http://epubs.siam.org/siap",
journalabr = "SIAM J Appl Math",
keywords = "Airy function; Anti-Stokes lines; Argand diagram;
Asymptotic stability; Differential equations; Error
function; Errors; Functions; Geometry; Integral
equations; Integral representations; Matched asymptotic
expansions; Ordinary differential equations; Stokes
lines; Stokes multipliers; Stokes phenomenon",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Zanovello:1995:NAS,
author = "Renato Zanovello",
title = "Numerical analysis of {Struve} functions with
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}
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author = "M. N. Vrahatis and O. Ragos and F. A. Zafiropoulos and
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MRclass = "33C10 (65D20)",
MRnumber = "1397264",
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fjournal = "Zeitschrift f{\"{u}}r Angewandte Mathematik und
Mechanik",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1521-4001",
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Elbert:1998:UBZ,
author = "{\'A}rp{\'a}d Elbert and Andrea Laforgia",
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}
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author = "J. C. P. Miller",
title = "A method for the determination of converging factors,
applied to the asymptotic expansions for the parabolic
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journal = j-PROC-CAMBRIDGE-PHIL-SOC,
volume = "48",
pages = "243--254",
month = apr,
year = "1952",
CODEN = "PCPSA4",
DOI = "https://doi.org/10.1017/s0305004100027602",
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MRnumber = "47163",
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author = "A. F.",
title = "Book Review: {F. W. J. Olver, \booktitle{Tables for
Bessel Functions of Moderate or Large Orders}, v. 6,
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journal = j-MATH-COMPUT,
volume = "17",
number = "84",
pages = "464--466",
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year = "1963",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2004022",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
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acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
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subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Oliver:1968:EOE,
author = "J. Oliver",
title = "An extension of {Olver}'s error estimation technique
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journal = j-NUM-MATH,
volume = "12",
number = "5",
pages = "459--467",
month = dec,
year = "1968",
CODEN = "NUMMA7",
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acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Schmid:1969:BRF,
author = "E. Schmid",
title = "Book Review: {F. L. Bauer and A. S. Householder and F.
J. Olver and H. Rutishauser and K. Samelson and E.
Stiefel, \booktitle{Handbook for Automatic computation,
Vol. I. Die Grundlehren der mathematischen
Wissenschaften in Einzeldarstellungen mit besonderer
Ber{\"u}cksichtigung der Anwendungsgebiete}, Band
135}",
journal = j-COMPUTING,
volume = "4",
number = "3",
pages = "276--276",
month = sep,
year = "1969",
CODEN = "CMPTA2",
DOI = "https://doi.org/10.1007/BF02234776",
ISSN = "0010-485X (print), 1436-5057 (electronic)",
ISSN-L = "0010-485X",
bibdate = "Wed Nov 15 17:04:26 2000",
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https://www.math.utah.edu/pub/tex/bib/computing.bib",
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fjournal = "Computing",
journal-URL = "http://link.springer.com/journal/607",
subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978);
Frank William John Olver (15 December 1924--23 April
2013); Friedrich (``Fritz'') Ludwig Bauer (10 June
1924--26 March 2015); Heinz Rutishauser (30 January
1918--10 November 1970)",
}
@Article{Sadowski:1972:UOA,
author = "W. L. Sadowski and Daniel W. Lozier",
title = "Use of {Olver}'s algorithm to evaluate certain
definite integrals of plasma physics involving
{Chebyshev} polynomials",
journal = j-J-COMPUT-PHYS,
volume = "10",
number = "3",
pages = "607--613",
month = dec,
year = "1972",
CODEN = "JCTPAH",
DOI = "https://doi.org/10.1016/0021-9991(72)90054-X",
ISSN = "0021-9991 (print), 1090-2716 (electronic)",
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bibdate = "Sun Jan 1 09:15:08 MST 2012",
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acknowledgement = ack-nhfb,
fjournal = "Journal of Computational Physics",
journal-URL = "http://www.sciencedirect.com/science/journal/00219991/",
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Wimp:1975:BRA,
author = "Jet Wimp",
title = "Book Review: {{\booktitle{Asymptotics and Special
Functions}} (F. W. J. Olver)}",
journal = j-SIAM-REVIEW,
volume = "17",
number = "3",
pages = "569--575",
month = "????",
year = "1975",
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acknowledgement = ack-nhfb,
fjournal = "SIAM Review",
journal-URL = "http://epubs.siam.org/sirev",
onlinedate = "July 1975",
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{VanderCruyssen:1979:ROA,
author = "P. {Van der Cruyssen}",
title = "A reformulation of {Olver}'s algorithm for the
numerical solution of second-order linear difference
equations",
journal = j-NUM-MATH,
volume = "32",
number = "2",
pages = "159--166",
month = jun,
year = "1979",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF01404872",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65Q05",
MRnumber = "80c:65241",
bibdate = "Mon May 26 11:49:34 MDT 1997",
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acknowledgement = ack-nhfb,
classification = "C4170 (Differential equations)",
corpsource = "Dept. of Math., Univ. of Antwerp, Wilrijk, Belgium",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
keywords = "algorithm; difference equations; differential
equations; second order difference equations",
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Cash:1980:NOA,
author = "J. R. Cash",
title = "A note on {Olver}'s algorithm for the solution of
second-order linear difference equations",
journal = j-MATH-COMPUT,
volume = "35",
number = "151",
pages = "767--772",
month = jul,
year = "1980",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.1090/S0025-5718-1980-0572854-5",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "65Q05",
MRnumber = "81h:65124",
MRreviewer = "R. M. M. Mattheij",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
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https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
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URL = "https://www.ams.org/journals/mcom/1980-35-151/S0025-5718-1980-0572854-5",
acknowledgement = ack-nhfb,
classcodes = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Dept. of Math., Imperial Coll., London, UK",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "difference equations; linear difference equations;
Olver's algorithm",
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
treatment = "T Theoretical or Mathematical",
}
@Article{Fransen:1981:ACH,
author = "Arne Frans{\'e}n",
title = "Addendum and corrigendum to: {``High-precision values
of the gamma function and of some related
coefficients''} {[Math. Comp. {\bf 34} (1980), no. 150,
553--566, MR 81f:65004] by Frans{\'e}n and S. Wrigge}",
journal = j-MATH-COMPUT,
volume = "37",
number = "155",
pages = "233--235",
month = jul,
year = "1981",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.1090/S0025-5718-1981-0616377-4",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "65A05 (65D20)",
MRnumber = "82m:65002",
bibdate = "Sat Apr 01 10:12:58 2000",
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https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
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note = "See \cite{Fransen:1980:HPV}.",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
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author = "C. W. Clenshaw and Peter R. Turner",
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number = "4",
pages = "517--526",
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year = "1988",
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DOI = "https://doi.org/10.1093/imanum/8.4.517",
ISSN = "0272-4979 (print), 1464-3642 (electronic)",
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acknowledgement = ack-nhfb,
author-dates = "Charles William Clenshaw (15 March 1926--23 September
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journal-URL = "http://imajna.oxfordjournals.org/content/by/year",
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@Article{Clenshaw:1989:RSU,
author = "C. W. Clenshaw and Peter R. Turner",
title = "Root squaring using level-index arithmetic",
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volume = "43",
number = "2",
pages = "171--185",
month = jun,
year = "1989",
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DOI = "https://doi.org/10.1007/BF02241860",
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MRclass = "65G99 (65H05)",
MRnumber = "1 034 362",
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acknowledgement = ack-nhfb,
author-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
fjournal = "Computing",
journal-URL = "http://link.springer.com/journal/607",
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@InProceedings{Allen:1990:SPB,
author = "J. D. Allen and Robert E. {O'Malley, Jr.}",
title = "Singularly perturbed boundary value problems viewed in
the {Li{\'e}nard} plane",
crossref = "Wong:1990:ACA",
pages = "357--378",
year = "1990",
MRclass = "34E15 (34B15)",
MRnumber = "1052441",
MRreviewer = "Walter G. Kelley",
bibdate = "Thu Nov 16 09:34:22 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@InProceedings{Askey:1990:GAU,
author = "Richard A. Askey",
title = "Graphs as an aid to understanding special functions",
crossref = "Wong:1990:ACA",
pages = "3--33",
year = "1990",
MRclass = "33-01",
MRnumber = "1052427",
bibdate = "Thu Nov 16 09:34:22 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@InProceedings{Berg:1990:AIS,
author = "L. Berg",
title = "Asymptotics of integrals, series, and operators",
crossref = "Wong:1990:ACA",
pages = "35--52",
year = "1990",
MRclass = "41A60 (30E15 41A65)",
MRnumber = "1052428",
MRreviewer = "John S. Lew",
bibdate = "Thu Nov 16 09:34:22 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@InProceedings{Boyd:1990:AEC,
author = "W. G. C. Boyd",
title = "Asymptotic expansions for the coefficient functions
associated with linear second-order differential
equations: the simple pole case",
crossref = "Wong:1990:ACA",
pages = "53--73",
year = "1990",
MRclass = "34E05 (30E15 33C10 34A20 41A60)",
MRnumber = "1052429",
MRreviewer = "John S. Lew",
bibdate = "Thu Nov 16 09:34:22 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@InProceedings{Carinhas:1990:CAF,
author = "P. A. Carinhas and S. A. Fulling",
title = "Computational asymptotics of fourth-order operators",
crossref = "Wong:1990:ACA",
pages = "601--617",
year = "1990",
MRclass = "65P05 (41A60)",
MRnumber = "1052455",
MRreviewer = "V. F. Butuzov",
bibdate = "Thu Nov 16 09:34:22 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@InProceedings{Carlson:1990:LTI,
author = "B. C. Carlson",
title = "{Landen} transformations of integrals",
crossref = "Wong:1990:ACA",
pages = "75--94",
year = "1990",
MRclass = "33C99 (26A06 33-04 33B99 65D20)",
MRnumber = "1052430",
bibdate = "Thu Nov 16 09:34:22 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@InProceedings{Ciasullo:1990:ACC,
author = "L. M. Ciasullo and James A. Cochran",
title = "Accelerating the convergence of {Chebyshev} series",
crossref = "Wong:1990:ACA",
pages = "95--136",
year = "1990",
MRclass = "65B10 (33C45 40A05 41A50)",
MRnumber = "1052431",
MRreviewer = "Pierre Hillion",
bibdate = "Thu Nov 16 09:34:22 2023",
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subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@InProceedings{Connor:1990:PMU,
author = "J. N. L. Connor",
title = "Practical methods for the uniform asymptotic
evaluation of oscillating integrals with several
coalescing saddle points",
crossref = "Wong:1990:ACA",
pages = "137--173",
year = "1990",
MRclass = "65D30 (34E05 35C20 41A60 58C27 58G15)",
MRnumber = "1052432",
MRreviewer = "Jean Leray",
bibdate = "Thu Nov 16 09:34:22 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@InProceedings{Davis:1990:CSW,
author = "Anthony M. J. Davis",
title = "Continental shelf wave scattering: partial removal of
the rigid lid",
crossref = "Wong:1990:ACA",
pages = "555--563",
year = "1990",
MRclass = "86A05",
MRnumber = "1052452",
MRreviewer = "E. G. Broadbent",
bibdate = "Thu Nov 16 09:34:22 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@InProceedings{Dieci:1990:SAI,
author = "Luca Dieci and Robert D. Russell",
title = "Some aspects of invariant subspaces computation",
crossref = "Wong:1990:ACA",
pages = "565--585",
year = "1990",
MRclass = "65F05 (15A18)",
MRnumber = "1052453",
MRreviewer = "Zden\v{e}k Strako\v{s}",
bibdate = "Thu Nov 16 09:34:22 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@InProceedings{Frenzen:1990:EBC,
author = "C. L. Frenzen",
title = "Error bounds via complete monotonicity for a uniform
asymptotic expansion of the {Legendre} function {$
P_n^{-m}(\cosh z) $}",
crossref = "Wong:1990:ACA",
pages = "587--599",
year = "1990",
MRclass = "33C45 (41A60 65D20)",
MRnumber = "1052454",
bibdate = "Thu Nov 16 09:34:22 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@InProceedings{Gatteschi:1990:NIZ,
author = "Luigi Gatteschi",
title = "New inequalities for the zeros of confluent
hypergeometric functions",
crossref = "Wong:1990:ACA",
pages = "175--192",
year = "1990",
MRclass = "33C15",
MRnumber = "1052433",
bibdate = "Thu Nov 16 09:34:22 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@InProceedings{Gautschi:1990:HSV,
author = "Walter Gautschi",
title = "How (un)stable are {Vandermonde} systems?",
crossref = "Wong:1990:ACA",
pages = "193--210",
year = "1990",
MRclass = "65F35 (15A12)",
MRnumber = "1052434",
bibdate = "Thu Nov 16 09:34:22 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@InProceedings{Goh:1990:UAD,
author = "William M. Y. Goh and Eric Schmutz",
title = "Universal asymptotic distribution functions mod
$1$",
crossref = "Wong:1990:ACA",
pages = "619--626",
year = "1990",
MRclass = "11K06 (58F08)",
MRnumber = "1052456",
MRreviewer = "Robert F. Tichy",
bibdate = "Thu Nov 16 09:34:22 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@InProceedings{Hanson:1990:SPE,
author = "Floyd B. Hanson",
title = "Singular point and exponential asymptotics",
crossref = "Wong:1990:ACA",
pages = "211--240",
year = "1990",
MRclass = "34E15 (34E20 41A60 92D25)",
MRnumber = "1052435",
MRreviewer = "John S. Lew",
bibdate = "Thu Nov 16 09:34:22 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@InProceedings{Ikebe:1990:RAS,
author = "Yasuhiko Ikebe and Marek Kowalski and Frank Stenger",
title = "Rational approximation of the step, filter, and
impulse functions",
crossref = "Wong:1990:ACA",
pages = "441--454",
year = "1990",
MRclass = "41A20 (30E10)",
MRnumber = "1052446",
MRreviewer = "A. Bultheel",
bibdate = "Thu Nov 16 09:34:22 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@InProceedings{Jones:1990:UAR,
author = "D. S. Jones",
title = "Uniform asymptotic remainders",
crossref = "Wong:1990:ACA",
pages = "241--264",
year = "1990",
MRclass = "41A60 (33E99)",
MRnumber = "1052436",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Nov 7 09:19:06 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
reviewer-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@InProceedings{Kaminski:1990:VSP,
author = "D. Kaminski",
title = "On the $n$-variable saddle point and steepest descent
methods",
crossref = "Wong:1990:ACA",
pages = "627--637",
year = "1990",
MRclass = "41A60",
MRnumber = "1052457",
MRreviewer = "F. Ursell",
bibdate = "Thu Nov 16 09:34:22 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@InProceedings{Kazarinoff:1990:PTS,
author = "Nicholas D. Kazarinoff and Joseph S. Wilkowski",
title = "Period tripling and subharmonic oscillations in
{Marangoni} flows in a cylindrical liquid bridge",
crossref = "Wong:1990:ACA",
pages = "265--283",
year = "1990",
MRclass = "76R99 (58F40 76E15 76M99 80A20)",
MRnumber = "1052437",
bibdate = "Thu Nov 16 09:34:22 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@InProceedings{Leung:1990:PSD,
author = "Anthony W. Leung and Guangwei Fan",
title = "Positive solutions for degenerate and nondegenerate
elliptic systems: existence and numerical
approximations",
crossref = "Wong:1990:ACA",
pages = "285--298",
year = "1990",
MRclass = "65P05 (35B05 35J45)",
MRnumber = "1052438",
MRreviewer = "Klaus Ulrich",
bibdate = "Thu Nov 16 09:34:22 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@InProceedings{Mainardi:1990:AMS,
author = "Francesco Mainardi and Giuliano Vitali",
title = "Applications of the method of steepest descents in
wave-propagation problems",
crossref = "Wong:1990:ACA",
pages = "639--651",
year = "1990",
MRclass = "73D99 (73F15 73V20)",
MRnumber = "1052458",
MRreviewer = "W. Kecs",
bibdate = "Thu Nov 16 09:34:22 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@InProceedings{Meyer:1990:OTS,
author = "R. E. Meyer",
title = "Observable tunneling in several dimensions",
crossref = "Wong:1990:ACA",
pages = "299--327",
year = "1990",
MRclass = "81Q20 (58G18)",
MRnumber = "1052439",
bibdate = "Thu Nov 16 09:34:22 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@InProceedings{Paris:1990:API,
author = "R. B. Paris",
title = "The asymptotics of {Pearcey}'s integral for complex
variables",
crossref = "Wong:1990:ACA",
pages = "653--667",
year = "1990",
MRclass = "41A60 (58C27 78A45)",
MRnumber = "1052459",
MRreviewer = "F. Ursell",
bibdate = "Thu Nov 16 09:34:22 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@InProceedings{Reid:1990:ATO,
author = "W. H. Reid",
title = "On the asymptotic theory of the {Orr--Sommerfeld}
problem",
crossref = "Wong:1990:ACA",
pages = "379--391",
year = "1990",
MRclass = "76E05",
MRnumber = "1052442",
MRreviewer = "P. W. Duck",
bibdate = "Thu Nov 16 09:34:22 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@InProceedings{Rudraiah:1990:AMM,
author = "N. Rudraiah and O. P. Chandna and R. M. Barron",
title = "Asymptotic methods in magnetoconvection",
crossref = "Wong:1990:ACA",
pages = "669--683",
year = "1990",
MRclass = "76E25 (76E15 76W05)",
MRnumber = "1052460",
MRreviewer = "D. A. Nield",
bibdate = "Thu Nov 16 09:34:22 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@InProceedings{Shih:1990:ILS,
author = "Shagi-Di Shih",
title = "The interior layer structure for a linear parabolic
problem with discontinuous data",
crossref = "Wong:1990:ACA",
pages = "685--696",
year = "1990",
MRclass = "35B25 (35K15)",
MRnumber = "1052461",
MRreviewer = "Gary M. Lieberman",
bibdate = "Thu Nov 16 09:34:22 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@InProceedings{Sibuya:1990:GPF,
author = "Yasutaka Sibuya",
title = "{Gevrey} property of formal solutions in a parameter",
crossref = "Wong:1990:ACA",
pages = "393--401",
year = "1990",
MRclass = "34A20 (34E15)",
MRnumber = "1052443",
MRreviewer = "W. Balser",
bibdate = "Thu Nov 16 09:34:22 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@InProceedings{Siegel:1990:AES,
author = "D. Siegel",
title = "Asymptotic expansions of solutions to {$ \Delta u - u
= f $} at infinity",
crossref = "Wong:1990:ACA",
pages = "697--705",
year = "1990",
MRclass = "35C20 (35J05)",
MRnumber = "1052462",
MRreviewer = "Wei Tao Zhang",
bibdate = "Thu Nov 16 09:34:22 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@InProceedings{Smith:1990:RAA,
author = "Donald R. Smith",
title = "A {Riccati} approach to the {Airy} equation",
crossref = "Wong:1990:ACA",
pages = "403--415",
year = "1990",
MRclass = "34A20 (33C10 34C20)",
MRnumber = "1052444",
MRreviewer = "Donald A. Lutz",
bibdate = "Thu Nov 16 09:34:22 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@InProceedings{Soni:1990:SPA,
author = "K. Soni and R. P. Soni",
title = "A system of polynomials associated with the {Chester},
{Friedman}, and {Ursell} technique",
crossref = "Wong:1990:ACA",
pages = "417--440",
year = "1990",
MRclass = "30E15 (33C10 41A60)",
MRnumber = "1052445",
MRreviewer = "Alexander I. Kheyfits",
bibdate = "Thu Nov 16 09:34:22 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@InProceedings{Spigler:1990:AZS,
author = "R. Spigler and M. Vianello",
title = "Approximating zeros of solutions of second-order
linear {ODEs} by ``phase function'' methods",
crossref = "Wong:1990:ACA",
pages = "707--722",
year = "1990",
MRclass = "65L99 (34A45 34C10)",
MRnumber = "1052463",
MRreviewer = "R. M. M. Mattheij",
bibdate = "Thu Nov 16 09:34:22 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Spigler:1990:NME,
author = "Renato Spigler and Marco Vianello",
title = "A numerical method for evaluating zeros of solutions
of second-order linear differential equations",
journal = j-MATH-COMPUT,
volume = "55",
number = "192",
pages = "591--612",
month = oct,
year = "1990",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.1090/S0025-5718-1990-1035945-7",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "65L99 (65D15)",
MRnumber = "91d:65125",
MRreviewer = "David R. Hill",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Padova Univ., Italy",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "2nd-order linear differential equations; asymptotic
analysis; Boruvka's approach; half line; Kummer
equation; linear differential equations; nonlinear
3rd-order equation; numerical algorithm; numerical
analysis; numerical method; Olver; oscillatory case;
real; second-order; transformations; zeros of
solutions",
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
treatment = "T Theoretical or Mathematical",
}
@InProceedings{Stoyanov:1990:AEI,
author = "B. J. Stoyanov and R. A. Farrell and J. F. Bird",
title = "Asymptotic expansions of integrals of two {Bessel}
functions",
crossref = "Wong:1990:ACA",
pages = "723--740",
year = "1990",
MRclass = "33C10 (41A60)",
MRnumber = "1052464",
bibdate = "Thu Nov 16 09:34:22 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@InProceedings{Temme:1990:PAE,
author = "Nico M. Temme",
title = "Polynomial asymptotic estimates of {Gegenbauer},
{Laguerre}, and {Jacobi} polynomials",
crossref = "Wong:1990:ACA",
pages = "455--476",
year = "1990",
MRclass = "33C45 (41A60)",
MRnumber = "1052447",
bibdate = "Thu Nov 16 09:34:22 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@InProceedings{Ursell:1990:ILP,
author = "F. Ursell",
title = "Integrals with a large parameter and the
maximum-modulus principle",
crossref = "Wong:1990:ACA",
pages = "477--489",
year = "1990",
MRclass = "33C99 (41A60)",
MRnumber = "1052448",
bibdate = "Thu Nov 16 09:34:22 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@InProceedings{Wan:1990:FAE,
author = "Frederic Y. M. Wan",
title = "Finite axial extension and torsion of elastic
helicoidal shells",
crossref = "Wong:1990:ACA",
pages = "491--516",
year = "1990",
MRclass = "73K15 (73G05)",
MRnumber = "1052449",
bibdate = "Thu Nov 16 09:34:22 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@InProceedings{Wimp:1990:SPC,
author = "Jet Wimp",
title = "Some properties of convolution sequences and
asymptotics for the {Taylor} coefficients for products
of {Bessel} functions",
crossref = "Wong:1990:ACA",
pages = "517--533",
year = "1990",
MRclass = "33C10 (41A60)",
MRnumber = "1052450",
bibdate = "Thu Nov 16 09:34:22 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@InProceedings{Wood:1990:EES,
author = "A. D. Wood and R. B. Paris",
title = "On eigenvalues with exponentially small imaginary
part",
crossref = "Wong:1990:ACA",
pages = "741--749",
year = "1990",
MRclass = "34B30 (34L05 34L40)",
MRnumber = "1052465",
MRreviewer = "Walter Eberhard",
bibdate = "Thu Nov 16 09:34:22 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@InProceedings{Zahar:1990:GOA,
author = "R. V. M. Zahar",
title = "A Generalization of {Olver}'s Algorithm for Linear
Difference Systems",
crossref = "Wong:1990:ACA",
pages = "535--551",
year = "1990",
MRclass = "39A10 (41A60 65Q05)",
MRnumber = "1052451",
bibdate = "Sun Nov 05 09:38:06 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
xxpages = "535--554",
}
@Article{Verosky:1991:NPO,
author = "John M. Verosky",
title = "Negative powers of {Olver} recursion operators",
journal = j-J-MATH-PHYS,
volume = "32",
number = "7",
pages = "1733--1736",
month = jul,
year = "1991",
CODEN = "JMAPAQ",
DOI = "https://doi.org/10.1063/1.529234",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
MRclass = "35K22 (35Q53 58G35)",
MRnumber = "93f:35090",
MRreviewer = "Alexander A. Pankov",
bibdate = "Tue Nov 1 08:57:29 MDT 2011",
bibsource = "http://jmp.aip.org/;
https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/jmathphys1990.bib",
URL = "http://jmp.aip.org/resource/1/jmapaq/v32/i7/p1733_s1",
acknowledgement = ack-nhfb,
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
pagecount = "4",
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Andrews:1994:D,
author = "George Andrews and George Gasper and Mourad Ismail and
Paul Nevai",
title = "Dedication: [special issue to {Richard A. Askey} and
{Frank W. J. Olver}]",
journal = j-SIAM-J-MATH-ANA,
volume = "25",
number = "2",
pages = "vii--ix",
month = mar,
year = "1994",
CODEN = "SJMAAH",
DOI = "https://doi.org/10.1137/0525010",
ISSN = "0036-1410 (print), 1095-7154 (electronic)",
ISSN-L = "0036-1410",
MRclass = "01A70",
MRnumber = "1 266 556",
bibdate = "Sun Nov 28 19:25:56 MST 2010",
bibsource = "https://epubs.siam.org/toc/sjmaah/25/2;
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https://www.math.utah.edu/pub/tex/bib/siamjmathana.bib",
URL = "https://epubs.siam.org/toc/sjmaah/25/2",
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fjournal = "SIAM Journal on Mathematical Analysis",
journal-URL = "http://epubs.siam.org/sima",
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@InProceedings{Hasegawa:1994:EOS,
author = "Takemitsu Hasegawa and Tatsuo Torii",
title = "An extension of the {Olver--Sookne} method for the
solution of second-order linear difference equations",
crossref = "Gautschi:1994:MCH",
pages = "297--300",
year = "1994",
bibdate = "Thu Oct 25 14:53:00 2007",
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https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib",
URL = "http://math.nist.gov/nesf/",
acknowledgement = ack-nhfb,
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Spigler:1994:DCL,
author = "Renato Spigler and Marco Vianello",
title = "Discrete and Continuous {Liouville--Green--Olver}
Approximations: a Unified Treatment Via
{Volterra--Stieltjes} Integral Equations",
journal = j-SIAM-J-MATH-ANA,
volume = "25",
number = "2",
pages = "720--732",
month = mar,
year = "1994",
CODEN = "SJMAAH",
DOI = "https://doi.org/10.1137/S0036141092231215",
ISSN = "0036-1410 (print), 1095-7154 (electronic)",
ISSN-L = "0036-1410",
MRclass = "39A12 (34E20 39A10 45D05)",
MRnumber = "95i:39005",
MRreviewer = "T. J. Mahar",
bibdate = "Sun Nov 28 19:25:56 MST 2010",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/25/2;
https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/siamjmathana.bib",
URL = "http://epubs.siam.org/sam-bin/dbq/article/23121",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Mathematical Analysis",
journal-URL = "http://epubs.siam.org/sima",
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@InCollection{Boisvert:2001:HMF,
author = "Ronald F. Boisvert and Daniel W. Lozier",
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crossref = "Lide:2001:CEM",
pages = "135--139",
year = "2001",
bibdate = "Mon Nov 06 07:39:27 2023",
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https://www.math.utah.edu/pub/bibnet/authors/m/metropolis-nicholas.bib;
https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
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https://www.math.utah.edu/pub/bibnet/authors/t/tukey-john-w.bib",
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https://nvlpubs.nist.gov/nistpubs/sp958-lide/html/135-139.html",
acknowledgement = ack-nhfb,
keywords = "Abramowitz, M.; Antosiewicz, H. A.; Blanch, G.;
Cahill, W. F.; Curtiss, J. H.; Davis, P. J.;
Erd{\'e}lyi, A.; Gautschi, W.; Goldberg, K.; Gray, M.
C.; Hamming, R. W.; Haynsworth, E. V.; Hochstrasser, U.
W.; Lehmer, D. H.; Liepman, D. S.; Lowan, A. N.; Luke,
Y. L.; McNish, A. G.; Metropolis, N. C.; Miller, J. C.
P.; Morse, P. M.; Newman, M.; Oberhettinger, F.; Olver,
F. W. J.; Peavy, S.; Polonsky, I.; Rosser, J. B.;
Schopf, A.; Severo, N. C.; Slater, L. J.; Southard, T.
H.; Stegun, I. A.; Thacher, Jr., H. C.; Thomson, L. M.
Milne; Todd, John; Tompkins, C. B.; Tukey, J. W.;
Zelen, M.; Zucker. R.",
remark = "This paper provides a history of the development and
production of the 1964 \booktitle{Handbook of
Mathematical Functions}.",
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Fabijonas:2004:AAF,
author = "B. R. Fabijonas",
title = "{Algorithm 838}: {Airy} Functions",
journal = j-TOMS,
volume = "30",
number = "4",
pages = "491--501",
month = dec,
year = "2004",
CODEN = "ACMSCU",
DOI = "https://doi.org/10.1145/1039813.1039819",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibdate = "Tue Apr 12 06:34:31 MDT 2005",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/toms.bib",
URL = "https://dl.acm.org/doi/10.1145/1039813.1039819",
abstract = "We present a Fortran 90 module, which computes the
solutions and their derivatives of Airy's differential
equation, both on the real line and in the complex
plane. The module also computes the zeros and
associated values of the solutions and their
derivatives, and the modulus and phase functions on the
negative real axis. The computational methods are
numerical integration of the differential equation and
summation of asymptotic expansions for large argument.
These methods were chosen because they are simple,
adaptable to any precision, and amenable to rigorous
error analysis. The module can be used to validate
other codes or as a component in programs that require
Airy functions.",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "ACM Transactions on Mathematical Software (TOMS)",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Wazwaz:2007:NSK,
author = "Abdul-Majid Wazwaz",
title = "New solitons and kinks solutions to the
{Sharma--Tasso--Olver} equation",
journal = j-APPL-MATH-COMP,
volume = "188",
number = "2",
pages = "1205--1213",
day = "15",
month = may,
year = "2007",
CODEN = "AMHCBQ",
DOI = "https://doi.org/10.1016/j.amc.2006.10.075",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Sat Jul 12 09:03:05 MDT 2008",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/applmathcomput2005.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0096300306014640",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003/",
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Misc{Anonymous:2008:NRP,
author = "Anonymous",
title = "{NIST} Releases Preview of Much-Anticipated Online
Mathematics Reference",
howpublished = "NIST Web site",
day = "24",
month = jun,
year = "2008",
bibdate = "Sun Nov 05 13:15:33 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
URL = "https://www.nist.gov/news-events/news/2008/06/nist-releases-preview-much-anticipated-online-mathematics-reference",
acknowledgement = ack-nhfb,
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Kodama:2008:ASP,
author = "Masao Kodama",
title = "{Algorithm 877}: {A} Subroutine Package for
Cylindrical Functions of Complex Order and Nonnegative
Argument",
journal = j-TOMS,
volume = "34",
number = "4",
pages = "22:1--22:21",
month = jul,
year = "2008",
CODEN = "ACMSCU",
DOI = "https://doi.org/10.1145/1377596.1377602",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibdate = "Wed Jul 16 11:30:01 MDT 2008",
bibsource = "http://www.acm.org/pubs/contents/journals/toms/;
https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
https://www.math.utah.edu/pub/tex/bib/fortran3.bib;
https://www.math.utah.edu/pub/tex/bib/mathcw.bib;
https://www.math.utah.edu/pub/tex/bib/toms.bib",
abstract = "The algorithm presented provides a package of
subroutines for calculating the cylindrical functions $
J_\nu (x) $, $ N_\nu (x) $, $ H_\nu^1 (x) $, $ H_\nu^2
(x) $ where the order $ \nu $ is complex and the real
argument $x$ is nonnegative. The algorithm is written
in Fortran 95 and calculates the functions using
single, double, or quadruple precision according to the
value of a parameter defined in the algorithm. The
methods of calculating the functions are based on a
series expansion, Debye's asymptotic expansions,
Olver's asymptotic expansions, and recurrence methods
(Miller's algorithms). The relative errors of the
functional values computed by this algorithm using
double precision are less than $ 2.4 \times 10^{-13} $
in the region $ 0 \leq \mbox {Re}(\nu) \leq 64 $, $ 0
\leq \mbox {Im}(\nu) \leq 63 $, $ 0.024 \leq x \leq 97
$.",
acknowledgement = ack-nhfb,
articleno = "22",
fjournal = "ACM Transactions on Mathematical Software (TOMS)",
journal-URL = "https://dl.acm.org/loi/toms",
keywords = "Bessel functions; complex order; Cylindrical
functions; Debye's asymptotic expansions; Hankel
functions; Miller's algorithms; Neumann functions;
nonnegative argument; numerical calculation; Olver's
asymptotic expansions",
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Shang:2008:AEE,
author = "Yadong Shang and Jinghong Qin and Yong Huang and
Wenjun Yuan",
title = "Abundant exact and explicit solitary wave and periodic
wave solutions to the {Sharma--Tasso--Olver} equation",
journal = j-APPL-MATH-COMP,
volume = "202",
number = "2",
pages = "532--538",
day = "15",
month = aug,
year = "2008",
CODEN = "AMHCBQ",
DOI = "https://doi.org/10.1016/j.amc.2008.02.034",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Fri Sep 3 10:53:22 MDT 2010",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/applmathcomput2005.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0096300308001379",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003/",
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Hayes:2009:HA,
author = "Brian Hayes",
title = "The Higher Arithmetic: How to count to a zillion
without falling off the end of the number line",
journal = j-AM-SCI,
volume = "97",
number = "5",
pages = "364",
year = "2009",
CODEN = "AMSCAC",
DOI = "https://doi.org/10.1511/2009.80.364",
ISSN = "0003-0996 (print), 1545-2786 (electronic)",
ISSN-L = "0003-0996",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/fparith.bib",
acknowledgement = ack-nhfb,
fjournal = "American Scientist",
journal-URL = "http://www.americanscientist.org/issues/past.aspx",
keywords = "level-index arithmetic",
remark = "Reprinted in \cite[Chapter 8]{Hayes:2017:FOM}.",
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Misc{Anonymous:2010:DLM,
author = "Anonymous",
title = "{Digital Library of Mathematical Functions}",
howpublished = "NIST Web site",
year = "2010",
bibdate = "Sun Nov 05 17:05:38 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
URL = "https://www.nist.gov/mathematics-statistics/digital-library-mathematical-functions",
acknowledgement = ack-nhfb,
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Misc{Anonymous:2010:PGHa,
author = "Anonymous",
title = "Portrait Gallery 2010 Honorees",
howpublished = "NIST Web site",
day = "4",
month = oct,
year = "2010",
bibdate = "Sun Nov 05 17:11:20 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
note = "Frank W. J. Olver (ITL): Years at NBS/NIST:1961--1986.
For prolific contributions in applied mathematics,
including those to the NBS Handbook of Mathematical
Functions (1964) and its successor, the NIST Digital
Library of Mathematical Functions (2010).",
URL = "https://www.nist.gov/director/portrait-gallery-2010-honorees",
acknowledgement = ack-nhfb,
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Misc{Anonymous:2010:PGHb,
author = "Anonymous",
title = "Portrait Gallery 2011 Honorees",
howpublished = "NIST Web site",
day = "26",
month = oct,
year = "2011",
bibdate = "Sun Nov 05 17:11:20 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
note = "Frank W. J. Olver (ITL): Years at NBS/NIST:
1961--1986: For prolific contributions in applied
mathematics, including those to the NBS Handbook of
Mathematical Functions (1964) and its successor, the
NIST Digital Library of Mathematical Functions
(2010).",
URL = "https://www.nist.gov/director/portrait-gallery-honorees-2011",
acknowledgement = ack-nhfb,
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Misc{Anonymous:2011:ICS,
author = "Anonymous",
title = "International Conference on Special Functions in the
21st Century: Theory and Applications",
howpublished = "NIST Web site",
day = "6--8",
month = apr,
year = "2011",
bibdate = "Sun Nov 05 17:10:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
note = "This conference is dedicated to Professor Olver in
light of his seminal contributions to the advancement
of special functions, especially in the area of
asymptotic analysis and as Mathematics Editor of the
DLMF",
URL = "https://www.nist.gov/news-events/events/2011/04/international-conference-special-functions-21st-century-theory-and",
acknowledgement = ack-nhfb,
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Misc{Anonymous:2011:NDL,
author = "Anonymous",
title = "{NIST Digital Library of Mathematical Functions}
Receives {IT} Award",
howpublished = "NIST Web site",
day = "25",
month = oct,
year = "2011",
bibdate = "Sun Nov 05 13:17:06 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
URL = "https://www.nist.gov/news-events/news/2011/10/nist-digital-library-mathematical-functions-receives-it-award",
acknowledgement = ack-nhfb,
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Misc{Anonymous:2011:NIS,
author = "Anonymous",
title = "{National Institute of Standards and Technology}
Recognizes Staff",
howpublished = "NIST Web site",
day = "7",
month = dec,
year = "2011",
bibdate = "Sun Nov 05 13:13:17 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
URL = "https://www.nist.gov/news-events/news/2011/12/national-institute-standards-and-technology-recognizes-staff",
acknowledgement = ack-nhfb,
remark = "From the site: ``Gold Medal: \ldots{} Brian
Antonishek, Ronald Boisvert, Charles Clark, Daniel
Lozier, Marjorie McClain, Bruce Miller, Frank Olver,
Bonita Saunders, and Abdou Youssef --- `For development
of the NIST Digital Library of Mathematical Functions,
an unprecedented reference on the special functions of
applied mathematics'.",
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Misc{Anonymous:2011:NRS,
author = "Anonymous",
title = "{NIST} Releases Successor to Venerable
{{\booktitle{Handbook of Math Functions}}}",
howpublished = "NIST Web site",
day = "11",
month = may,
year = "2011",
bibdate = "Sun Nov 05 14:42:55 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
URL = "https://www.nist.gov/news-events/news/2010/05/nist-releases-successor-venerable-handbook-math-functions",
acknowledgement = ack-nhfb,
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Crowder:2011:SBRa,
author = "Martin Crowder",
title = "Short Book Review: {{\booktitle{NIST Handbook of
Mathematical Functions}} edited by Frank W. J. Olver,
Daniel W. Lozier, Ronald F. Boisvert, Charles W.
Clark}",
journal = j-INT-STAT-REV,
volume = "79",
number = "1",
pages = "131--132",
month = apr,
year = "2011",
CODEN = "ISTRDP",
DOI = "https://doi.org/10.1111/j.1751-5823.2011.00134_18.x;
https://doi.org/10.2307/41306184",
ISSN = "0306-7734 (print), 1751-5823 (electronic)",
ISSN-L = "0306-7734",
bibdate = "Wed Jun 18 06:26:15 MDT 2014",
bibsource = "http://www.jstor.org/stable/i40059031;
https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/intstatrev.bib",
URL = "http://www.jstor.org/stable/41306184",
acknowledgement = ack-nhfb,
fjournal = "International Statistical Review = Revue
Internationale de Statistique",
journal-URL = "http://www.jstor.org/journals/03067734.html;
https://onlinelibrary.wiley.com/loi/17515823",
onlinedate = "3 Apr 2011",
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Shang:2011:BTA,
author = "Yadong Shang and Yong Huang and Wenjun Yuan",
title = "{B{\"a}cklund} transformations and abundant exact
explicit solutions of the {Sharma--Tasso--Olver}
equation",
journal = j-APPL-MATH-COMP,
volume = "217",
number = "17",
pages = "7172--7183",
day = "1",
month = may,
year = "2011",
CODEN = "AMHCBQ",
DOI = "https://doi.org/10.1016/j.amc.2011.01.115",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Wed Mar 30 09:13:29 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/applmathcomput2010.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0096300311001573",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003/",
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Thompson:2011:NHM,
author = "Ian Thompson",
title = "{{\booktitle{NIST Handbook of Mathematical
Functions}}, edited by Frank W. J. Olver, Daniel W.
Lozier, Ronald F. Boisvert, Charles W. Clark}",
journal = j-CONTEMP-PHYS,
volume = "52",
number = "5",
pages = "497--498",
year = "2011",
CODEN = "CTPHAF",
DOI = "https://doi.org/10.1080/00107514.2011.582161",
ISSN = "0010-7514 (print), 1366-5812 (electronic)",
ISSN-L = "0010-7514",
bibdate = "Thu Feb 18 20:08:43 MST 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/contempphys.bib",
acknowledgement = ack-nhfb,
ajournal = "Contemp. Phys.",
fjournal = "Contemporary Physics",
journal-URL = "http://www.tandfonline.com/loi/tcph20",
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Zayed:2011:NMS,
author = "Elsayed M. E. Zayed",
title = "A note on the modified simple equation method applied
to {Sharma--Tasso--Olver} equation",
journal = j-APPL-MATH-COMP,
volume = "218",
number = "7",
pages = "3962--3964",
day = "1",
month = dec,
year = "2011",
CODEN = "AMHCBQ",
DOI = "https://doi.org/10.1016/j.amc.2011.09.025",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Tue Oct 25 09:03:13 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/applmathcomput2010.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S009630031101191X",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003/",
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Yao:2012:FST,
author = "Biwei Yao and Senyue Lou",
title = "Fermionization of {Sharma--Tasso--Olver} system",
journal = "Chinese Annals of Mathematics, Series B",
volume = "33",
number = "2",
pages = "271--280",
month = mar,
year = "2012",
DOI = "https://doi.org/10.1007/s11401-012-0698-z",
bibdate = "Sun Nov 5 08:44:39 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
journal-URL = "https://www.springer.com/journal/11401",
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Misc{Anonymous:2013:FOO,
author = "Anonymous",
title = "{Frank Olver} Obituary",
howpublished = "Web site",
day = "26",
month = apr,
year = "2013",
bibdate = "Sun Nov 05 09:53:33 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
URL = "https://www.legacy.com/us/obituaries/washingtonpost/name/frank-olver-obituary?id=6008137",
acknowledgement = ack-nhfb,
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Anonymous:2013:FWJ,
author = "Anonymous",
title = "{Frank W. J. Olver}, mathematician",
journal = j-WASHINGTON-POST,
volume = "??",
number = "??",
pages = "??--??",
day = "30",
month = apr,
year = "2013",
ISSN = "0190-8286",
bibdate = "Sat Nov 04 17:44:31 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
URL = "https://www.washingtonpost.com/local/obituaries/frank-wj-olver-mathematician/2013/04/30/51080646-b1b0-11e2-baf7-5bc2a9dc6f44_story.html",
acknowledgement = ack-nhfb,
fjournal = "Washington Post",
journal-URL = "http://www.washingtonpost.com/",
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Misc{Bailey:2013:FWJ,
author = "David H. Bailey and Jonathan M. Borwein",
title = "{Frank W. J. Olver} (1924--2013)",
howpublished = "Math Drudge",
day = "12",
month = may,
year = "2013",
bibdate = "Tue May 15 15:05:08 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
URL = "https://experimentalmath.info/blog/2013/05/frank-w-j-olver-1924-2013/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein,
Jonathan/0000-0002-1263-0646",
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Jafari:2013:FSE,
author = "Hossein Jafari and Haleh Tajadodi and Dumitru Baleanu
and Abdulrahim Al-Zahrani and Yahia Alhamed and Adnan
Zahid",
title = "Fractional sub-equation method for the fractional
generalized reaction {Duffing} model and nonlinear
fractional {Sharma--Tasso--Olver} equation",
journal = "Open Physics",
volume = "11",
number = "10",
month = jan,
year = "2013",
CODEN = "OPPHBI",
DOI = "https://doi.org/10.2478/s11534-013-0203-7",
ISSN = "2391-5471",
bibdate = "Sun Nov 5 08:51:39 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
fjournal = "Open Physics",
journal-URL = "https://www.degruyter.com/journal/key/phys/html",
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Misc{Wong:2013:OFW,
author = "Roderick Wong",
title = "Obituaries: {Frank W. J. Olver}, 1924--2013",
howpublished = "SIAM News Web site",
year = "2013",
bibdate = "Sat Nov 04 17:42:36 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
URL = "https://sinews.siam.org/About-the-Author/obituaries-frank-wj-olver-1924-2013",
acknowledgement = ack-nhfb,
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Baricz:2014:RCN,
author = "{\'A}rp{\'a}d Baricz and R{\'o}bert Sz{\'a}sz",
title = "The radius of convexity of normalized {Bessel}
functions of the first kind",
journal = j-ANAL-APPL,
volume = "12",
number = "5",
pages = "485--509",
month = aug,
year = "2014",
DOI = "https://doi.org/10.1142/s0219530514500316",
ISSN = "0219-5305 (print), 1793-6861 (electronic)",
ISSN-L = "0219-5305",
bibdate = "Thu Nov 16 07:32:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
note = "Special Issue: Dedicated to the Memory of Frank Olver
(Part II).",
acknowledgement = ack-nhfb,
ajournal = "Anal. Appl. (Singapore)",
fjournal = "Analysis and Applications (Singapore)",
journal-URL = "https://www.worldscientific.com/worldscinet/aa",
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Berry:2014:TFO,
author = "Michael Berry",
title = "A tribute to {Frank Olver} (1924--2013)",
journal = j-ANAL-APPL,
volume = "12",
number = "4",
pages = "ix--x",
month = jun,
year = "2014",
DOI = "https://doi.org/10.1142/s0219530514020011",
ISSN = "0219-5305 (print), 1793-6861 (electronic)",
ISSN-L = "0219-5305",
bibdate = "Thu Nov 16 07:32:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
note = "Special Issue: Dedicated to the Memory of Frank Olver
(Part I).",
acknowledgement = ack-nhfb,
ajournal = "Anal. Appl. (Singapore)",
fjournal = "Analysis and Applications (Singapore)",
journal-URL = "https://www.worldscientific.com/worldscinet/aa",
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Cohl:2014:EFS,
author = "Howard S. Cohl and Hans Volkmer",
title = "Expansions for a fundamental solution of {Laplace}'s
equation on {$ \mathbb {R}^3 $} in 5-cyclidic
harmonics",
journal = j-ANAL-APPL,
volume = "12",
number = "6",
pages = "613--633",
month = oct,
year = "2014",
DOI = "https://doi.org/10.1142/s0219530514500407",
ISSN = "0219-5305 (print), 1793-6861 (electronic)",
ISSN-L = "0219-5305",
bibdate = "Thu Nov 16 07:32:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
note = "Special Issue: Dedicated to the Memory of Frank Olver
(Part III).",
acknowledgement = ack-nhfb,
ajournal = "Anal. Appl. (Singapore)",
fjournal = "Analysis and Applications (Singapore)",
journal-URL = "https://www.worldscientific.com/worldscinet/aa",
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Dominici:2014:ZDP,
author = "Diego Dominici and Walter {Van Assche}",
title = "Zero distribution of polynomials satisfying a
differential-difference equation",
journal = j-ANAL-APPL,
volume = "12",
number = "6",
pages = "635--666",
month = oct,
year = "2014",
DOI = "https://doi.org/10.1142/s0219530514500390",
ISSN = "0219-5305 (print), 1793-6861 (electronic)",
ISSN-L = "0219-5305",
bibdate = "Thu Nov 16 07:32:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
note = "Special Issue: Dedicated to the Memory of Frank Olver
(Part III).",
acknowledgement = ack-nhfb,
ajournal = "Anal. Appl. (Singapore)",
fjournal = "Analysis and Applications (Singapore)",
journal-URL = "https://www.worldscientific.com/worldscinet/aa",
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Driver:2014:ZPU,
author = "Kathy Driver and Martin E. Muldoon",
title = "Zeros of pseudo-ultraspherical polynomials",
journal = j-ANAL-APPL,
volume = "12",
number = "5",
pages = "563--581",
month = aug,
year = "2014",
DOI = "https://doi.org/10.1142/s0219530514500365",
ISSN = "0219-5305 (print), 1793-6861 (electronic)",
ISSN-L = "0219-5305",
bibdate = "Thu Nov 16 07:32:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
note = "Special Issue: Dedicated to the Memory of Frank Olver
(Part II).",
acknowledgement = ack-nhfb,
ajournal = "Anal. Appl. (Singapore)",
fjournal = "Analysis and Applications (Singapore)",
journal-URL = "https://www.worldscientific.com/worldscinet/aa",
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Dunster:2014:OEB,
author = "T. M. Dunster",
title = "{Olver}'s error bound methods applied to linear
ordinary differential equations having a simple turning
point",
journal = j-ANAL-APPL,
volume = "12",
number = "4",
pages = "385--402",
month = jun,
year = "2014",
DOI = "https://doi.org/10.1142/s0219530514500298",
ISSN = "0219-5305 (print), 1793-6861 (electronic)",
ISSN-L = "0219-5305",
bibdate = "Thu Nov 16 07:32:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
note = "Special Issue: Dedicated to the Memory of Frank Olver
(Part I).",
acknowledgement = ack-nhfb,
ajournal = "Anal. Appl. (Singapore)",
fjournal = "Analysis and Applications (Singapore)",
journal-URL = "https://www.worldscientific.com/worldscinet/aa",
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Ferreira:2014:CAE,
author = "Chelo Ferreira and Jos{\'e} L. L{\'o}pez and Ester
P{\'e}rez Sinus{\'\i}a",
title = "Convergent and asymptotic expansions of solutions of
second-order differential equations with a large
parameter",
journal = j-ANAL-APPL,
volume = "12",
number = "5",
pages = "523--536",
month = aug,
year = "2014",
DOI = "https://doi.org/10.1142/s0219530514500328",
ISSN = "0219-5305 (print), 1793-6861 (electronic)",
ISSN-L = "0219-5305",
bibdate = "Thu Nov 16 07:32:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
note = "Special Issue: Dedicated to the Memory of Frank Olver
(Part II).",
acknowledgement = ack-nhfb,
ajournal = "Anal. Appl. (Singapore)",
fjournal = "Analysis and Applications (Singapore)",
journal-URL = "https://www.worldscientific.com/worldscinet/aa",
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Gawronski:2014:CSB,
author = "Wolfgang Gawronski and Thorsten Neuschel",
title = "On a conjecture on sparse binomial-type polynomials by
{Brown}, {Dilcher} and {Manna}",
journal = j-ANAL-APPL,
volume = "12",
number = "5",
pages = "511--522",
month = aug,
year = "2014",
DOI = "https://doi.org/10.1142/s0219530514500304",
ISSN = "0219-5305 (print), 1793-6861 (electronic)",
ISSN-L = "0219-5305",
bibdate = "Thu Nov 16 07:32:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
note = "Special Issue: Dedicated to the Memory of Frank Olver
(Part II).",
acknowledgement = ack-nhfb,
ajournal = "Anal. Appl. (Singapore)",
fjournal = "Analysis and Applications (Singapore)",
journal-URL = "https://www.worldscientific.com/worldscinet/aa",
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Gil:2014:CZA,
author = "Amparo Gil and Javier Segura",
title = "On the complex zeros of {Airy} and {Bessel} functions
and those of their derivatives",
journal = j-ANAL-APPL,
volume = "12",
number = "5",
pages = "537--561",
month = aug,
year = "2014",
DOI = "https://doi.org/10.1142/s0219530514500341",
ISSN = "0219-5305 (print), 1793-6861 (electronic)",
ISSN-L = "0219-5305",
bibdate = "Thu Nov 16 07:32:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "Special Issue: Dedicated to the Memory of Frank Olver
(Part II).",
acknowledgement = ack-nhfb,
ajournal = "Anal. Appl. (Singapore)",
fjournal = "Analysis and Applications (Singapore)",
journal-URL = "https://www.worldscientific.com/worldscinet/aa",
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Kalnins:2014:QAC,
author = "Ernest G. Kalnins and W. Miller",
title = "Quadratic algebra contractions and second-order
superintegrable systems",
journal = j-ANAL-APPL,
volume = "12",
number = "5",
pages = "583--612",
month = aug,
year = "2014",
DOI = "https://doi.org/10.1142/s0219530514500377",
ISSN = "0219-5305 (print), 1793-6861 (electronic)",
ISSN-L = "0219-5305",
bibdate = "Thu Nov 16 07:32:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
note = "Special Issue: Dedicated to the Memory of Frank Olver
(Part II).",
acknowledgement = ack-nhfb,
ajournal = "Anal. Appl. (Singapore)",
fjournal = "Analysis and Applications (Singapore)",
journal-URL = "https://www.worldscientific.com/worldscinet/aa",
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Khwaja:2014:UAE,
author = "S. Farid Khwaja and A. B. Olde Daalhuis",
title = "Uniform asymptotic expansions for hypergeometric
functions with large parameters {IV}",
journal = j-ANAL-APPL,
volume = "12",
number = "6",
pages = "667--710",
month = oct,
year = "2014",
DOI = "https://doi.org/10.1142/s0219530514500389",
ISSN = "0219-5305 (print), 1793-6861 (electronic)",
ISSN-L = "0219-5305",
bibdate = "Thu Nov 16 07:32:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
note = "Special Issue: Dedicated to the Memory of Frank Olver
(Part III).",
acknowledgement = ack-nhfb,
ajournal = "Anal. Appl. (Singapore)",
fjournal = "Analysis and Applications (Singapore)",
journal-URL = "https://www.worldscientific.com/worldscinet/aa",
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Koornwinder:2014:ETF,
author = "Tom H. Koornwinder",
title = "On the equivalence of two fundamental theta
identities",
journal = j-ANAL-APPL,
volume = "12",
number = "6",
pages = "711--725",
month = oct,
year = "2014",
DOI = "https://doi.org/10.1142/s0219530514500559",
ISSN = "0219-5305 (print), 1793-6861 (electronic)",
ISSN-L = "0219-5305",
bibdate = "Thu Nov 16 07:32:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
note = "Special Issue: Dedicated to the Memory of Frank Olver
(Part III).",
acknowledgement = ack-nhfb,
ajournal = "Anal. Appl. (Singapore)",
fjournal = "Analysis and Applications (Singapore)",
journal-URL = "https://www.worldscientific.com/worldscinet/aa",
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Lin:2014:GAS,
author = "Y. Lin and R. Wong",
title = "Global asymptotics of the {Szeg{\H{o}}--Askey}
polynomials",
journal = j-ANAL-APPL,
volume = "12",
number = "6",
pages = "727--746",
month = oct,
year = "2014",
DOI = "https://doi.org/10.1142/s0219530514500547",
ISSN = "0219-5305 (print), 1793-6861 (electronic)",
ISSN-L = "0219-5305",
bibdate = "Thu Nov 16 07:32:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
note = "Special Issue: Dedicated to the Memory of Frank Olver
(Part III).",
acknowledgement = ack-nhfb,
ajournal = "Anal. Appl. (Singapore)",
fjournal = "Analysis and Applications (Singapore)",
journal-URL = "https://www.worldscientific.com/worldscinet/aa",
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Liu:2014:BSI,
author = "Yue Liu and Peter J. Olver and Changzheng Qu and
Shuanghu Zhang",
title = "On the blow-up of solutions to the integrable modified
{Camassa--Holm} equation",
journal = j-ANAL-APPL,
volume = "12",
number = "4",
pages = "355--368",
month = jun,
year = "2014",
DOI = "https://doi.org/10.1142/s0219530514500274",
ISSN = "0219-5305 (print), 1793-6861 (electronic)",
ISSN-L = "0219-5305",
bibdate = "Thu Nov 16 07:32:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
note = "Special Issue: Dedicated to the Memory of Frank Olver
(Part I).",
acknowledgement = ack-nhfb,
ajournal = "Anal. Appl. (Singapore)",
fjournal = "Analysis and Applications (Singapore)",
journal-URL = "https://www.worldscientific.com/worldscinet/aa",
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Nemes:2014:RPL,
author = "Gerg Nemes",
title = "The resurgence properties of the large-order
asymptotics of the {Hankel} and {Bessel} functions",
journal = j-ANAL-APPL,
volume = "12",
number = "4",
pages = "403--462",
month = jun,
year = "2014",
DOI = "https://doi.org/10.1142/s021953051450033x",
ISSN = "0219-5305 (print), 1793-6861 (electronic)",
ISSN-L = "0219-5305",
bibdate = "Thu Nov 16 07:32:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
note = "Special Issue: Dedicated to the Memory of Frank Olver
(Part I).",
acknowledgement = ack-nhfb,
ajournal = "Anal. Appl. (Singapore)",
fjournal = "Analysis and Applications (Singapore)",
journal-URL = "https://www.worldscientific.com/worldscinet/aa",
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Olver:2014:CVF,
author = "Sheehan Olver",
title = "Change of variable formulas for regularizing slowly
decaying and oscillatory {Cauchy} and {Hilbert}
transforms",
journal = j-ANAL-APPL,
volume = "12",
number = "4",
pages = "369--384",
month = jun,
year = "2014",
DOI = "https://doi.org/10.1142/s0219530514500353",
ISSN = "0219-5305 (print), 1793-6861 (electronic)",
ISSN-L = "0219-5305",
bibdate = "Thu Nov 16 07:32:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
note = "Special Issue: Dedicated to the Memory of Frank Olver
(Part I).",
acknowledgement = ack-nhfb,
ajournal = "Anal. Appl. (Singapore)",
fjournal = "Analysis and Applications (Singapore)",
journal-URL = "https://www.worldscientific.com/worldscinet/aa",
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Temme:2014:Pa,
author = "Nico Temme and Roderick Wong",
title = "Preface",
journal = j-ANAL-APPL,
volume = "12",
number = "4",
pages = "vii--viii",
month = jun,
year = "2014",
DOI = "https://doi.org/10.1142/s0219530514020023",
ISSN = "0219-5305 (print), 1793-6861 (electronic)",
ISSN-L = "0219-5305",
bibdate = "Thu Nov 16 07:32:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
note = "Special Issue: Dedicated to the Memory of Frank Olver
(Part I).",
acknowledgement = ack-nhfb,
ajournal = "Anal. Appl. (Singapore)",
fjournal = "Analysis and Applications (Singapore)",
journal-URL = "https://www.worldscientific.com/worldscinet/aa",
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Temme:2014:Pb,
author = "Nico Temme and Roderick Wong",
title = "Preface",
journal = j-ANAL-APPL,
volume = "12",
number = "5",
pages = "vii--vii",
month = aug,
year = "2014",
DOI = "https://doi.org/10.1142/s0219530514020035",
ISSN = "0219-5305 (print), 1793-6861 (electronic)",
ISSN-L = "0219-5305",
bibdate = "Thu Nov 16 07:32:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
note = "Special Issue: Dedicated to the Memory of Frank Olver
(Part II).",
acknowledgement = ack-nhfb,
ajournal = "Anal. Appl. (Singapore)",
fjournal = "Analysis and Applications (Singapore)",
journal-URL = "https://www.worldscientific.com/worldscinet/aa",
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Temme:2014:Pc,
author = "Nico Temme and Roderick Wong",
title = "Preface",
journal = j-ANAL-APPL,
volume = "12",
number = "6",
pages = "vii--viii",
month = oct,
year = "2014",
DOI = "https://doi.org/10.1142/s0219530514020047",
ISSN = "0219-5305 (print), 1793-6861 (electronic)",
ISSN-L = "0219-5305",
bibdate = "Thu Nov 16 07:32:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
note = "Special Issue: Dedicated to the Memory of Frank Olver
(Part III).",
acknowledgement = ack-nhfb,
ajournal = "Anal. Appl. (Singapore)",
fjournal = "Analysis and Applications (Singapore)",
journal-URL = "https://www.worldscientific.com/worldscinet/aa",
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Wong:2014:ALR,
author = "R. Wong",
title = "Asymptotics of linear recurrences",
journal = j-ANAL-APPL,
volume = "12",
number = "4",
pages = "463--484",
month = jun,
year = "2014",
DOI = "https://doi.org/10.1142/s0219530514500286",
ISSN = "0219-5305 (print), 1793-6861 (electronic)",
ISSN-L = "0219-5305",
bibdate = "Thu Nov 16 07:32:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
note = "Special Issue: Dedicated to the Memory of Frank Olver
(Part I).",
acknowledgement = ack-nhfb,
ajournal = "Anal. Appl. (Singapore)",
fjournal = "Analysis and Applications (Singapore)",
journal-URL = "https://www.worldscientific.com/worldscinet/aa",
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Wong:2014:MFW,
author = "R. Wong",
title = "In memoriam {Frank W. J. Olver} (1924--2013)",
journal = j-ANAL-APPL,
volume = "12",
number = "4",
pages = "xi--xxvi",
month = jun,
year = "2014",
DOI = "https://doi.org/10.1142/s0219530514770016",
ISSN = "0219-5305 (print), 1793-6861 (electronic)",
ISSN-L = "0219-5305",
bibdate = "Thu Nov 16 07:32:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
note = "Special Issue: Dedicated to the Memory of Frank Olver
(Part I).",
acknowledgement = ack-nhfb,
ajournal = "Anal. Appl. (Singapore)",
fjournal = "Analysis and Applications (Singapore)",
journal-URL = "https://www.worldscientific.com/worldscinet/aa",
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Yue:2014:AGS,
author = "Chao Yue and Tiecheng Xia",
title = "Algebro-geometric solutions for the complex
{Sharma--Tasso--Olver} hierarchy",
journal = j-J-MATH-PHYS,
volume = "55",
number = "8",
pages = "083511",
month = aug,
year = "2014",
CODEN = "JMAPAQ",
DOI = "https://doi.org/10.1063/1.4891605",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
bibdate = "Tue Aug 4 11:34:28 2015",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/jmathphys2010.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{S:2015:NFS,
author = "Cesar A. G{\'o}mez S.",
title = "A nonlinear fractional {Sharma--Tasso--Olver}
equation: New exact solutions",
journal = j-APPL-MATH-COMP,
volume = "266",
number = "??",
pages = "385--389",
day = "1",
month = sep,
year = "2015",
CODEN = "AMHCBQ",
DOI = "https://doi.org/10.1016/j.amc.2015.05.074",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Sat Jul 25 08:08:56 MDT 2015",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/applmathcomput2015.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0096300315006980",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003/",
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Zayed:2016:MSE,
author = "Elsayed M. E. Zayed and Yaser A. Amer and Abdul-Ghani
Al-Nowehy",
title = "The modified simple equation method and the multiple
exp-function method for solving nonlinear fractional
{Sharma--Tasso--Olver} equation",
journal = "Acta Mathematicae Applicatae Sinica, English Series",
volume = "32",
number = "4",
pages = "793--812",
month = oct,
year = "2016",
DOI = "https://doi.org/10.1007/s10255-016-0590-9",
ISSN = "0168-9673 (print), 1618-3932 (electronic)",
ISSN-L = "0168-9673",
bibdate = "Sun Nov 5 08:50:05 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
journal-URL = "https://www.springer.com/journal/10255",
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Book{Hayes:2017:FOM,
author = "Brian Hayes",
title = "Foolproof, and Other Mathematical Meditations",
publisher = pub-MIT,
address = pub-MIT:adr,
pages = "x + 234",
year = "2017",
ISBN = "0-262-03686-X",
ISBN-13 = "978-0-262-03686-3",
LCCN = "QA93 .H3586 2017",
bibdate = "Sat Nov 04 22:39:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/pi.bib",
acknowledgement = ack-nhfb,
keywords = "level-index arithmetic; pi computations; William
Shanks",
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
tableofcontents = "Preface / ix \\
1 Young Gauss Sums It Up: A schoolboy's triumph over a
harsh teacher becomes the stuff of legend / 1 \\
2 Outside the Law of Averages: Not just above average
but beyond the reach of all averages / 19 \\
3 How to Avoid Yourself: Taking a walk without crossing
your own path leads into curious byways / 33 \\
4 The Spectrum of Riemannium: An unexpected connection
between nuclear physics and prime numbers / 53 \\
5 Unwed Numbers: In Sudoku ``No math is required,'' but
there's plenty behind the scenes / 71 \\
6 Crinkly Curves: A scribbled line grows so twisty that
it touches every point on a plane / 85 \\
7 Wagering with Zeno: You can't win, you can't lose,
you can't tie, and the game never ends / 99 \\
8 The Higher Arithmetic: New tools for doing arithmetic
with enormous numbers / 113 \\
9 First Links in the Markov Chain: A crucial innovation
in probability began with an analysis of poetry / 127
10 Playing Ball in the $n$th Dimension: Spheres in a
space of many dimensions seem to shrink away to nothing
/ 141 \\
11 Quasirandom Ramblings: Somewhere between the chaotic
and the orderly lies the quasirandom / 155 \\
12 Pencil, Paper, and Pi: Forensic mathematics
investigates a heroic computation that went awry / 171
\\
13 Foolproof: Is proof a magic wand that works only in
the hands of wizards? / 187 \\
Sources and Resources / 205 \\
References / 209 \\
Index / 225",
}
@Article{Ali:2018:ESC,
author = "Muhammad Nasir Ali and Syed Muhammad Husnine and Asit
Saha and Samir Kumar Bhowmik and Sharanjeet Dhawan and
Turgut Ak",
title = "Exact solutions, conservation laws, bifurcation of
nonlinear and supernonlinear traveling waves for
{Sharma--Tasso--Olver} equation",
journal = j-NONLINEAR-DYN,
volume = "94",
number = "3",
pages = "1791--1801",
month = jul,
year = "2018",
CODEN = "NODYES",
DOI = "https://doi.org/10.1007/s11071-018-4457-x",
ISSN = "0924-090X (print), 1573-269X (electronic)",
ISSN-L = "0924-090X",
bibdate = "Sun Nov 5 08:46:14 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
fjournal = "Nonlinear Dynamics",
journal-URL = "http://link.springer.com/journal/11071",
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@InCollection{Kaya:2020:CEN,
author = "Do{\u{g}}an Kaya and As{\i}f Yoku{\c{s}} and
U{\u{g}}ur Demiro{\u{g}}lu",
booktitle = "Nonlinear Systems and Complexity",
title = "Comparison of Exact and Numerical Solutions for the
{Sharma--Tasso--Olver} Equation",
publisher = pub-SV,
address = pub-SV:adr,
pages = "53--65",
year = "2020",
DOI = "https://doi.org/10.1007/978-3-030-37141-8_3",
bibdate = "Sun Nov 5 08:37:58 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Aljoudi:2021:ESF,
author = "Shorog Aljoudi",
title = "Exact solutions of the fractional
{Sharma--Tasso--Olver} equation and the fractional
{Bogoyavlenskii}'s breaking soliton equations",
journal = j-APPL-MATH-COMP,
volume = "405",
number = "??",
pages = "Article 126237",
day = "15",
month = sep,
year = "2021",
CODEN = "AMHCBQ",
DOI = "https://doi.org/10.1016/j.amc.2021.126237",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Wed Jun 9 09:19:04 MDT 2021",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/applmathcomput2020.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0096300321003271",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Feng:2021:EBV,
author = "Y. Y. Feng and S. D. Bilige and R. F. Zhang",
title = "Evolutionary behavior of various wave solutions of the
$ (2 + 1)$-dimensional {Sharma--Tasso--Olver}
equation",
journal = "Indian Journal of Physics",
volume = "96",
number = "7",
pages = "2107--2114",
month = jul,
year = "2021",
CODEN = "IJPNCV",
DOI = "https://doi.org/10.1007/s12648-021-02154-6",
ISSN = "0973-1458 (print), 0974-9845 (electronic)",
bibdate = "Sun Nov 5 08:40:33 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
ajournal = "Indian J. Phys.",
journal-URL = "https://www.springer.com/journal/12648",
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Chen:2022:PSN,
author = "Aiyong Chen and Hao Yu and Xiaokai He",
title = "2-Peakon Solutions and Non-uniqueness of the
{Fokas--Olver--Rosenau--Qiao} Equation with
Higher-Order Nonlinearity",
journal = "Bulletin of the Malaysian Mathematical Sciences
Society",
volume = "45",
number = "6",
pages = "3401--3422",
month = sep,
year = "2022",
DOI = "https://doi.org/10.1007/s40840-022-01386-x",
ISSN = "0126-6705 (print), 2180-4206 (electronic)",
ISSN-L = "0126-6705",
bibdate = "Sun Nov 5 08:47:37 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
journal-URL = "https://www.springer.com/journal/40840",
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Article{Belafhal:2015:TIG,
author = "Abdelmajid Belafhal and Lahcen Ez-Zariy and Salima
Hennani and Hamid Nebdi",
title = "Theoretical Introduction and Generation Method of a
Novel Nondiffracting Waves: {Olver} Beams",
journal = j-OPT-PHOTONICS-J,
volume = "05",
number = "07",
pages = "234--246",
year = "2015",
CODEN = "????",
DOI = "https://doi.org/10.4236/opj.2015.57023",
ISSN = "2160-8881 (print), 2160-889X (electronic)",
ISSN-L = "2160-8881",
bibdate = "Mon Nov 20 06:52:27 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
ajournal = "Opt. Photonics J.",
fjournal = "Optics and Photonics Journal",
journal-URL = "https://www.scirp.org/journal/journalarticles.aspx?journalid=547",
}
@Article{Besieris:2019:NSA,
author = "Ioannis M. Besieris and Amr M. Shaarawi and Bradley
Davis",
title = "A Note on Self-Accelerating {Olver} and {Olver--Gauss}
Beams",
journal = j-OPT-PHOTONICS-J,
volume = "09",
number = "01",
pages = "1--7",
year = "2019",
DOI = "https://doi.org/10.4236/opj.2019.91001",
ISSN = "2160-889X",
ISSN-L = "2160-8881",
ajournal = "Opt. Photonics J.",
fjournal = "Optics and Photonics Journal",
journal-URL = "https://www.scirp.org/journal/journalarticles.aspx?journalid=547",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
bibdate = "Mon Nov 20 06:52:27 2023",
acknowledgement = ack-nhfb,
}
@Article{Wang:2023:GCC,
author = "Ziyu Wang and Haobin Yang and Danlin Xu and Zehong
Liang and Lingling Shui and Dongmei Deng",
title = "Generation and control of the circle {Olver} beams",
journal = j-OPT-EXPRESS,
volume = "31",
number = "4",
pages = "6241",
month = feb,
year = "2023",
CODEN = "OPEXFF",
DOI = "https://doi.org/10.1364/oe.483433",
ISSN = "1094-4087",
ISSN-L = "1094-4087",
bibdate = "Mon Nov 20 06:48:36 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
fjournal = "Optics Express",
journal-URL = "http://opticsexpress.org/Issue.cfm",
}
@Article{Bateman:1946:SIE,
author = "Harry Bateman",
title = "Some Integral Equations of Potential Theory",
journal = j-J-APPL-PHYS,
volume = "17",
number = "2",
pages = "91--102",
month = feb,
year = "1946",
CODEN = "JAPIAU",
DOI = "https://doi.org/10.1063/1.1707698",
ISSN = "0021-8979 (print), 1089-7550 (electronic), 1520-8850",
ISSN-L = "0021-8979",
bibdate = "Fri Nov 10 13:38:23 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
note = "See corrections \cite{Olver:1946:NPH}.",
URL = "https://pubs.aip.org/aip/jap/article/17/2/91/158466/Some-Integral-Equations-of-Potential-Theory",
acknowledgement = ack-nhfb,
author-dates = "Harry Bateman FRS (29 May 1882--21 January 1946)",
fjournal = "Journal of Applied Physics",
journal-URL = "http://aip.scitation.org/toc/jap/current",
}
@Book{Gupta:1958:TP,
author = "Hansraj Gupta and C. E. Gwyther and J. C. P. Miller",
booktitle = "Tables of Partitions",
title = "Tables of Partitions",
volume = "4",
publisher = pub-CAMBRIDGE,
address = pub-CAMBRIDGE:adr,
pages = "xxxix + 132",
year = "1958",
bibdate = "Tue Nov 07 08:20:22 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
series = "Royal Society Mathematical Tables",
acknowledgement = ack-nhfb,
}
@Book{Gupta:1960:RPQ,
editor = "Hansraj Gupta and Jeffery Charles Percy Miller",
booktitle = "Representations of primes by quadratic forms,
displaying solutions of the {Diophantine} equation {$ k
p = a^2 + D b^2 $}",
title = "Representations of primes by quadratic forms,
displaying solutions of the {Diophantine} equation {$ k
p = a^2 + D b^2 $}",
volume = "5",
publisher = pub-CAMBRIDGE,
address = pub-CAMBRIDGE:adr,
pages = "135",
year = "1960",
bibdate = "Tue Nov 07 08:24:28 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
series = "Royal Society Mathematical Tables",
}
@Book{Haselgrove:1960:TRZ,
editor = "C. B. Haselgrove",
booktitle = "Tables of the {Riemann} zeta function",
title = "Tables of the {Riemann} zeta function",
volume = "6",
publisher = pub-CAMBRIDGE,
address = pub-CAMBRIDGE:adr,
pages = "xxii + 80",
year = "1960",
LCCN = "QA351 .H3",
bibdate = "Tue Nov 07 08:10:36 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
series = "Royal Society Mathematical Tables",
acknowledgement = ack-nhfb,
}
@Book{Olver:1960:BFP,
editor = "F. W. J. Olver",
booktitle = "{Bessel} functions: (Part 3: Zeros and associated
values)",
title = "{Bessel} functions: (Part 3: Zeros and associated
values)",
volume = "7",
publisher = pub-CAMBRIDGE,
address = pub-CAMBRIDGE:adr,
pages = "lx + 79",
year = "1960",
LCCN = "QA351 .H3",
bibdate = "Tue Nov 07 08:18:14 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
series = "Royal Society Mathematical Tables",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Book{Young:1960:BFP,
editor = "A. Young and A. Kirk",
booktitle = "{Bessel} functions: (Part 4: {Kelvin} functions)",
title = "{Bessel} functions: (Part 4: {Kelvin} functions)",
volume = "7, 10",
publisher = pub-CAMBRIDGE,
address = pub-CAMBRIDGE:adr,
pages = "????",
year = "1960",
bibdate = "Tue Nov 07 08:18:14 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
series = "Royal Society Mathematical Tables",
acknowledgement = ack-nhfb,
}
@Book{Abramowitz:1964:HMF,
editor = "Milton Abramowitz and Irene A. Stegun",
key = "NBS",
booktitle = "Handbook of Mathematical Functions with Formulas,
Graphs, and Mathematical Tables",
title = "Handbook of Mathematical Functions with Formulas,
Graphs, and Mathematical Tables",
volume = "55",
publisher = "U. S. Department of Commerce",
address = "Washington, DC, USA",
pages = "xiv + 1046",
year = "1964",
LCCN = "QA47.A161 1972; QA 55 A16h 1972",
bibdate = "Thu Jan 27 07:58:12 2000",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
https://www.math.utah.edu/pub/bibnet/subjects/han-wri-mat-sci-2ed.bib;
https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
https://www.math.utah.edu/pub/tex/bib/master.bib",
note = "Tenth printing, with corrections (December 1972). This
book is also available online at
\path=http://www.convertit.com/Go/ConvertIt/Reference/AMS55.ASP=
in bitmap image format.",
series = "Applied mathematics series",
abstract = "This book is a compendium of mathematical formulas,
tables, and graphs. It contains a table of analytical
integrals, differential equations, and numerical
series; and includes tables of trigonometric and
hyperbolic functions, tables for numerical integration,
rules for differentiation and integration, and
techniques for point interpolation and function
approximation. Additionally, it devotes a entire
section to mathematical and physical constants as
fractions and powers of Pi, e, and prime numbers; and
discusses statistics by presenting combinatorial
analysis and probability functions.",
acknowledgement = ack-nhfb,
tableofcontents = "Mathematical constants / David S. Liepman \\
Physical constants and conversion factors / A. G.
McNish \\
Elementary analytical methods / Milton Abramowitz \\
Elementary transcendental functions: logarithmic,
exponential, circular and hyperbolic functions / Ruth
Zucker \\
Exponential integral and related functions / Walter
Gautschi and William F. Cahill \\
Gamma function and related functions / Philip J. Davis
\\
Error function and Fresnel integrals / Walter Gautschi
\\
Legendre functions / Irene A. Stegun \\
Bessel functions of integer order / F. W. J. Olver \\
Bessell functions of fractional order / H. A.
Antosiewicz \\
Integrals of Bessel functions / Yudell L. Luke \\
Struve functions and related functions / Milton
Abramowitz \\
Confluent hypergeometric functions / Lucy Joan Slater
\\
Coulomb wave functions / Milton Abramowitz \\
Hypergeometric functions / Fritz Oberhettinger \\
Jacobian elliptic functions and theta functions;
Elliptic integrals / L. M. Milne-Thomson \\
Weierstrass elliptic and related functions / Thomas H.
Southard \\
Parabolic cylinder functions / J. C. P. Miller\ldots{}
Mathieu functions / Gertrude Blanch \\
Spheroidal wave functions / Arnold N. Lowan \\
Orthogonal polynomials / Urs W. Hochstrasser \\
Bernoulli and Euler polynomials, Riemann zeta function
/ Emilie V. Haynesworth and Karl Goldberg \\
Combinatorial analysis / K. Goldberg, M. Newman and E.
Haynesworth \\
Numerical interpolation, differentiation and
integration / Philip J. Davis and Ivan Polonsky \\
Probability functions / Marvin Zelen and Norman C.
Severo \\
Miscellaneous functions / Irene A. Stegun \\
Scales of notation / S. Peavy and A. Schopf \\
Laplace transforms",
}
@Proceedings{Wilcox:1964:ASD,
editor = "Calvin H. Wilcox",
booktitle = "Asymptotic solutions of differential equations and
their applications: Proceedings of a Symposium
Conducted by the {Mathematics Research Center, United
States Army, at the University of Wisconsin, Madison,
May 4--6, 1964}",
title = "Asymptotic solutions of differential equations and
their applications: Proceedings of a Symposium
Conducted by the {Mathematics Research Center, United
States Army, at the University of Wisconsin, Madison,
May 4--6, 1964}",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "x + 249",
year = "1964",
MRclass = "34.50",
MRnumber = "166426",
bibdate = "Tue Nov 7 06:56:04 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
note = "Publication No. 13 of the Mathematics Research Center,
United States Army, The University of Wisconsin.
Dedicated to Professor Rudolph E. Langer.",
acknowledgement = ack-nhfb,
}
@Proceedings{Rall:1965:EDCb,
editor = "L. B. Rall",
booktitle = "Error in Digital Computation",
title = "Error in Digital Computation",
volume = "2",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "288",
year = "1965",
MRclass = "65.80",
MRnumber = "MR0189284 (32 \#6711)",
MRreviewer = "J. M. Ortega",
bibdate = "Tue Aug 15 18:20:34 MDT 1995",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib;
https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib;
https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
https://www.math.utah.edu/pub/tex/bib/fparith.bib",
note = "Proceedings of an advanced seminar conducted by the
Mathematics Research Center, United States Army, at the
University of Wisconsin, Madison, October 5--7, 1964.",
author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
2008)",
tableofcontents = "1. Experimental investigation of unnormalize1
arithmetic / Ashenhurst \\
2. Error bounds for computations with continued
fractions / Henrici \\
3. Error bounds for asymptotic expansions of special
functions in the complex plane / Olver \\
4. Error analysis for transformations based on the use
of matrices of the form $I -2 w w^H$. / Wilkinson \\
5. Automatic local coordinate transformations to reduce
the growth of error bounds in interval computation of
solutions of ordinary differential equations / Moore
\\
6. Differential inequalities and error bounds /
Schroder \\
7. Discrete representations of partial differential
operators / Young and Dauwalder \\
8. Upper and lower bounds for solutions of integral
equations / Brown \\
9. Convergence ana error bounds for approximate
solutions of integral and operator equations / Anselone
\\
10. Applications of functional analysis to error
estimation / Collatz \\
11. Error in the solution of linear programming
problems / Wolfe",
}
@Proceedings{Ludwig:1970:SAM,
editor = "Donald Ludwig and Frank J. Olver",
booktitle = "Special Functions and Wave Propagation; a Collection
of Papers Presented at the {Symposia on Special
functions and Wave Propagation, \ldots{} at the 1969
SIAM national meeting held in Washington, DC}",
title = "Special Functions and Wave Propagation; a Collection
of Papers Presented at the {Symposia on Special
functions and Wave Propagation, \ldots{} at the 1969
SIAM national meeting held in Washington, DC}",
volume = "6",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "192",
year = "1970",
LCCN = "????",
MRclass = "60-06",
bibdate = "Mon Nov 6 08:55:13 MST 2023",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
series = "Studies in applied mathematics",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Proceedings{Irwin:1987:PSC,
editor = "Mary Jane Irwin and Renato Stefanelli",
booktitle = "Proceedings: 8th Symposium on Computer Arithmetic, May
19--21, 1987, Villa Olmo, Como, Italy",
title = "Proceedings: 8th Symposium on Computer Arithmetic, May
19--21, 1987, Villa Olmo, Como, Italy",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "ix + 277",
month = may,
year = "1987",
ISBN = "0-8186-0774-2 (paperback), 0-8186-4774-4 (microfiche),
0-8186-8774-6 (case)",
ISBN-13 = "978-0-8186-0774-5 (paperback), 978-0-8186-4774-1
(microfiche), 978-0-8186-8774-7 (case)",
LCCN = "QA 76.9 C62 S95 1987",
bibdate = "Wed Sep 14 20:52:21 1994",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/fparith.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
keywords = "ARITH-8",
}
@Book{Turner:1989:NAP,
editor = "Peter R. Turner",
booktitle = "Numerical Analysis and Parallel Processing: Lectures
given at {The Lancaster Numerical Analysis Summer
School 1987}",
title = "Numerical Analysis and Parallel Processing: Lectures
given at {The Lancaster Numerical Analysis Summer
School 1987}",
volume = "1397",
publisher = pub-SV,
address = pub-SV:adr,
pages = "vi + 264",
year = "1989",
DOI = "https://doi.org/10.1007/BFb0085715",
ISBN = "3-540-51645-X",
ISBN-13 = "978-3-540-51645-3",
MRclass = "65-06",
MRnumber = "1022260",
bibdate = "Tue Nov 7 08:06:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
note = "Lectures from the Third S.E.R.C. Numerical Analysis
Summer School held at the University of Lancaster,
Lancaster, 1987",
series = "Lecture Notes in Mathematics",
acknowledgement = ack-nhfb,
author-dates = "Charles William Clenshaw (15 March 1926--23 September
2004); Frank William John Olver (15 December 1924--23
April 2013)",
tableofcontents = "Front Matter / n2--vi \\
Parallel computation and optimisation a series of five
lectures (July 1987) / Laurence C. W. Dixon / 1--30 \\
Solution of sparse systems of equations on
multiprocessor architectures / Alan George / 31--94 \\
Level-index arithmetic: An introductory survey / C. W.
Clenshaw, F. W. J. Olver, P. R. Turner / 95--168 \\
Some aspects of floating point computation / Alan
Feldstein, Richard H. Goodman / 169--181 \\
Some gradient superconvergence results in the finite
element method / J. R. Whiteman, G. Goodsell / 182--260
\\
Programme of the meeting / Peter R. Turner / 261--264
\\
Back Matter / 265--267",
}
@Proceedings{Cox:1990:RNC,
editor = "M. G. Cox and S. Hammarling",
booktitle = "Reliable numerical computation",
title = "Reliable numerical computation",
publisher = pub-OXFORD,
address = pub-OXFORD:adr,
pages = "xvi + 339",
year = "1990",
ISBN = "0-19-853564-3",
ISBN-13 = "978-0-19-853564-5",
LCCN = "QA297 .R435 1990",
MRclass = "65-06",
MRnumber = "91k:65011",
bibdate = "Fri Dec 20 18:34:52 1996",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib;
https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib",
note = "Based on papers from a conference in honour of the
late James Hardy Wilkinson (died Sunday 5th October
1986) held at National Physical Laboratory, Teddington,
Middlesex, UK, 8th--10th July 1987.",
price = "US\$75.00",
abstract = "Published to honor the late Jim Wilkinson, the
respected pioneer in numerical analysis, this book
includes contributions from his colleagues and
collaborators, leading experts in their own right. The
breadth of Wilkinson's research is reflected in the
topics covered, which include linear algebra, error
analysis and computer arithmetic algorithms, and
mathematical software. An invaluable reference, the
book is completely up-to-date with the latest
developments on the Lanczos algorithm,
QR-factorizations, error propagation models, parameter
estimation problems, sparse systems, and
shape-preserving splines. Reflecting the current growth
and vitality of this field, the volume is an essential
reference for all numerical analysts.",
acknowledgement = ack-nhfb,
author-dates = "Christian H. Reinsch (?? ?? 1932--8 October 2022)",
tableofcontents = "List of contributors / / xv \\
Prologue. Reflections on Jim Wilkinson / Gene Golub /
1--5 \\
1. Misconvergence in the Lanczos algorithm / Beresford
Parlett / 7--24 \\
2. The Lanczos algorithm for a pure imaginary Hermitian
matrix / Charles L. Lawson and Kajal K. Gupta / 25--34
\\
3. Nearest defective matrices and the geometry of
ill-conditioning / James Demmel / 35--55 \\
4. Computational aspects of the Jordan canonical form /
Theo Beelen and Paul Van Dooren / 57--72 \\
5. Some aspects of generalized QR factorizations / C.
C. Paige / 73--91 \\
6. The multifrontal method in a parallel environment /
I. S. Duff, N. I. M. Gould, M. Lescrenier, and J. K.
Reid / 93--111 \\
7. A Schur-complement method for sparse quadratic
programming / Philip E. Gill, Walter Murray, Michael A.
Saunders, and Margaret H. Wright / 113--138 \\
8. A probabilistic round-off error propagation model.
Application to the eigenvalue problem / Fran{\c{c}}oise
Chatelin and Marie Christine Brunet / 139--160 \\
9. Analysis of the Cholesky decomposition of a
semi-definite matrix / Nicholas J. Higham / 161--185
\\
10. On the conditioning of parameter estimation
problems / James M. Varah / 187--195 \\
11. Rounding errors in algebraic process-in level-index
arithmetic / F. W J. Olver / 197--205 \\
12. Experiments in tearing large sparse systems / Mario
Arioli and lain S. Duff / 207--226 \\
13. The least-squares solution of linear equations with
block-angular observation matrix / M. G. Cox / 227--240
\\
14. An iterative method for solving linear inequalities
/ G. W Stewart / 241--247 \\
15. Iterative refinement and reliable computing / Ake
Bjorck / 249--266 \\
16. Software for shape-preserving spline interpolation
/ Christian H. Reinsch / 267--276 \\
17. Experiences with some software engineering
practices in numerical software / D. A. H. Jacobs and
G. Markham / 277--296 \\
18. Evolution of numerical software for dense linear
algebra / Jack Dongarra and Sven Hammarling / 297--327
\\
Epilogue. Jim Wilkinson: some after-dinner sentiments /
L. Fox / 329--335",
}
@Book{Swartzlander:1990:CAb,
author = "Earl E. {Swartzlander, Jr.}",
booktitle = "Computer Arithmetic",
title = "Computer Arithmetic",
volume = "2",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "ix + 396",
year = "1990",
ISBN = "0-8186-8945-5",
ISBN-13 = "978-0-8186-8945-1",
LCCN = "QA76.9 .C62C66 1990",
bibdate = "Wed Dec 15 10:43:03 1993",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib;
https://www.math.utah.edu/pub/bibnet/authors/h/hamming-richard-w.bib;
https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/fparith.bib;
https://www.math.utah.edu/pub/tex/bib/master.bib",
note = "This is part of a two-volume collection of influential
papers on the design of computer arithmetic.",
acknowledgement = ack-nhfb,
tableofcontents = "Preface / v \\
Chapter 1: Overview / E. E. Swartzlander, Jr. / 1 \\
Chapter 2: Error Tolerant Arithmetic / 15 \\
Error Detecting and Error Correcting Codes / R. W.
Hamming (Bell System Technical Journal, 1950, Pages
147--160) / 16 \\
Generalized Parity Checking / H. L. Garner (IRE
Transactions on Electronic Computers, 1958, Pages
207--213) / 30 \\
Error Checking Logic for Arithmetic Type Operations of
a Processor / T. R. N. Rao (IEEE Transactions on
Computers, 1968, Pages 845--849) / 37 \\
Arithmetic Algorithms for Error-Coded Operands / A.
Avizienis (IEEE Transactions on Computers, 1973, Pages
567--572) / 42 \\
Error Detection and Correction for Addition and
Subtraction, through Use of Higher Radix Extensions of
Hamming Codes / J. E. Robertson (Proceedings 8th
Symposium on Computer Arithmetic, 1987, Pages 226--229)
/ 48 \\
Chapter 3: On-Line Arithmetic / 53 \\
Signed-Digit Number Representations for Fast Parallel
Arithmetic / A. Avizienis (IRE Transactions on
Electronic Computers, 1961, Pages 389---400) / 54 \\
On-Line Arithmetic: A Design Methodology and
Applications in Digital Signal Processing / M. D.
Ercegovac and T. Lang (VLSI Signal Processing, III,
1988, Pages 252--263) / 66 \\
On-Line Algorithms for Division and Multiplication / K.
S. Trivedi and M. D. Ercegovac (IEEE Transactions on
Computers, 1977, Pages 681---687) / 78 \\
Error Analysis of Certain Floating-point On-Line
Algorithms / O. Watanuki and M. D. Ercegovac (IEEE
Transactions on Computers, 1983, Pages 352--358) / 85
\\
Improved Normalization Results for Digit On-Line
Arithmetic / R. J. Zaccone and J. L. Barlow
(Proceedings 7th Symposium on Computer Arithmetic,
1985, Pages 20--27) / 92 \\
Fully Digit On-Line Networks / M. J. Irwin and R. M.
Owens (IEEE Transactions on Computers, 1983, Pages
402---406) / 100 \\
On-Line Scheme for Computing Rotation Factors / M. D.
Ercegovac and T. Lang (Journal of Parallel and
Distributed Computing, 1988, Pages 209--227) / 104 \\
On-the-Fly Conversion of Redundant into Conventional
Representations / M. D. Ercegovac and T. Lang (IEEE
Transactions on Computers, 1987, Pages 895--897) / 123
\\
Chapter 4: VLSI Adder Implementations / 127 \\
Time-Component Complexity of Two Approaches to
Multioperand Binary Addition / D. E. Atkins and S. Ong
(IEEE Transactions on Computers, 1979, Pages 918--926)
/ 128 \\
Some Optimal Schemes for ALU Implementation in VLSI
Technology / V. G. Oklobdzija and E. R. Barnes
(Proceedings7 th Symposium on Computer Arithmetic,
1985, Pages 2--8) / 137 \\
A Regular Layout for Parallel Adders / R. P. Brent and
H. T. Kung (IEEE Transactions on Computers, 1982, Pages
260--264) / 144 \\
An Area-Time Efficient NMOS Adder / M. A. Bayoumi, G.
A. Jullien, and W. C. Miller (Integration, the VLSI
Journal, 1983, Pages 317--334) / 148 \\
Regular, Area-Time Efficient Carry-Lookahead Adders /
T.-F. Ngai, M. J. Irwin, and S. Rawat (Journal of
Parallel and Distributed Computing, 1986, Pages
92--105) / 166 \\
Efficient Use of Time and Hardware Redundancy for
Concurrent Error Detection in a 32-Bit VLSI Adder / B.
W. Johnson, J. H. Aylor, and H. H. Hana (IEEE Journal
of Solid-State Circuits, 1988, Pages 208--215) / 180
\\
Chapter 5: VLSI Multiplier Implementations / 189 \\
A Monolithic $16 \times 16$ Digital Multiplier / G. W.
McIver, R. W. Miller, and T. G. O'Shaughnessy (IEEE
International Solid-State Circuits Conference Digest of
Technical Papers, 1974, Pages 231--233) / 190 \\
Optimization of One-Bit Full Adders Embedded in Regular
Structures / K. Iwano and K. Steiglitz (IEEE
Transactions on Acoustics, Speech, and Signal
Processing, 1986, Pages 1289--1300) / 193 \\
A VLSI Layout for a Pipelined Dadda Multiplier / P. R.
Cappello and K. Steiglitz (ACM Transactions on Computer
Systems, 1983, Pages 157--174) / 205 \\
A Very Fast Multiplication Algorithm for VLSI
Implementation / J. Vuillemin (Integration, the VLSI
Journal, 1983, Pages 39--52) / 223 \\
A High-Speed Multiplier Using a Redundant Binary Adder
Tree / Y. Harata, Y. Nakamura, H. Nagase, M. Takigawa,
and N. Takagi (IEEE Journal of Solid-State Circuits,
1987, Pages 28--34) / 237 \\
A Sub-10-ns $16 \times 16$ Multiplier Using 0.6-$\mu$m
CMOS Technology / Y. Oowaaki, K. Numata, K. Tsuchiya,
K. Tsuda, H. Takato, N. Takenouchi, A. Nitayama, T.
Kobayashi, M. Chiba, S. Watanabe, K. Ohuchi, and A.
Rojo (IEEE Journal of Solid-State Circuits, 1987, Pages
762--767) / 244 \\
Chapter 6: Floating Point VLSI Chips / 251 \\
A High Performance Floating Point Coprocessor / G.
Wolrich, E. McLellan, L. Harada, J. Montanaro, and R.
A. J. Yodlowski (IEEE Journal of Solid-State Circuits,
1984, Pages 690--696) / 252 \\
64-Bit Monolithic Floating Point Processors / F. A.
Ware, W. H. McAllister, J. R. Carlson, D. K. Sun, and
R. J. Vlach (IEEE Journal of Solid-State Circuits,
1982, Pages 898--907) / 259 \\
A CMOS Floating Point Multiplier / M. Uya, K. Kaneko,
and J. Yasui (IEEE Journal of Solid-State Circuits,
1984, Pages 697--702) / 269 \\
A Single-Chip 80-Bit Floating Point Processor / K.
Takeda, F. Ishino, Y. Ito, R. Kasai, and T. Nakashima
(IEEE Journal of Solid-State Circuits, 1985, Pages
986--992) / 275 \\
VLSI Floating-Point Processors / J. Fandrianto and B.
Y. Woo (Proceedings 7th Symposium on Computer
Arithmetic, 1985, Pages 93--100) / 282 \\
Fast Multiply and Divide for a VLSI Floating-Point Unit
/ B. K. Bose, L. Pei, G. S. Taylor, and D. A. Patterson
(Proceedings 8th Symposium on Computer Arithmetic,
1987, Pages 87--94) / 290 \\
Chapter 7: Number Representation / 299 \\
A Formalization of Floating-Point Numeric Base
Conversion / D. W. Matula (IEEE Transactions on
Computers, 1970, Pages 681--692) / 300 \\
Analysis of Proposals for the Floating-Point Standard /
W. J. Cody (Computer, March 1987, Pages 63--68) / 312
\\
CADAC: A Controlled-Precision Decimal Arithmetic Unit /
M. S. Cohen, T. E. Hull, and V. C. Hamacher (IEEE
Transactions on Computers, 1983, Pages 370--377) / 317
\\
Finite Precision Rational Arithmetic: Slash Number
Systems / D. W. Matula and P. Kornerup (IEEE
Transactions on Computers, 1985, Pages 3--18) / 325 \\
Finite Precision Lexicographic Continued Fraction
Number Systerns / P. Kornerup and D. W. Matula
(Proceedings 7th Symposium on Computer Arithmetic,
1985, Pages 207--214) / 341 \\
An Overflow\slash Underflow Free Floating Point
Representation of Numbers / S. Matsui and M. lri
(Journal of Information Processing, 1981, Pages
123--133) / 349 \\
A Closed Computer Arithmetic / F. W. J. Olver
(Proceedings 8th Symposium on Computer Arithmetic,
1987, Pages 139--143) / 360 \\
Bibliography / 365 \\
Index / 393 \\
About the Editor / 397",
xxnote = "This is part of a two-volume collection of influential
papers on the design of computer arithmetic. See also
\cite{Swartzlander:1990:CAa}.",
}
@Proceedings{Wong:1990:ACA,
editor = "R. (Roderick) Wong",
booktitle = "Asymptotic and Computational Analysis: Conference in
Honor of {Frank W. J. Olver}'s 65th Birthday",
title = "Asymptotic and Computational Analysis: Conference in
Honor of {Frank W. J. Olver}'s 65th Birthday",
volume = "124",
publisher = pub-MARCEL-DEKKER,
address = pub-MARCEL-DEKKER:adr,
pages = "xii + 755",
year = "1990",
ISBN = "0-8247-8347-6",
ISBN-13 = "978-0-8247-8347-1",
LCCN = "QA299.6 .A88 1990",
bibdate = "Wed May 9 09:22:13 MDT 2007",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stenger-frank.bib;
z3950.loc.gov:7090/Voyager",
series = "Lecture Notes in Pure and Applied Mathematics",
URL = "http://www.loc.gov/catdir/enhancements/fy0647/90002810-d.html",
abstract = "Papers presented at the International Symposium on
Asymptotic and Computational Analysis, held June 1989,
Winnipeg, Manitoba, sponsored by the Department of
Applied Mathematics, University of Manitoba and the
Canadian Applied Mathematics Society.",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
subject = "Numerical analysis; Congresses; Asymptotic expansions;
Olver, Frank W. J.",
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
tableofcontents = "Preface / ii \\
Contributors / ix \\
\\
Invited Papers \\
\\
Graphs as an Aid to Understanding Special Functions /
R. A. Askey / 3 \\
Asymptotics of Integrals, Series, and Operators / L.
Berg / 35 \\
Asymptotic Expansions for the Coefficient Functions
Associated with Linear Second-Order Differential
Equations: The Simple Pole Case / W. G. C. Boyd / 53
\\
Landen Transformations of Integrals / B. C. Carlson /
75 \\
Accelerating the Convergence of Chebyshev Series / L.
M. Ciasullo and J. A. Cochran / 95 \\
Practical Methods for the Uniform Asymptotic Evaluation
of Oscillating Integrals with Several Coalescing Saddle
Points / J. N. L. Connor / 137 \\
New Inequalities for the Zeros of Confluent
Hypergeometric Functions / Luigi Gatteschi / 175 \\
How (Un)stable Are Vandermonde Systems? / Walter
Gautschi / 193 \\
Singular Point and Exponential Asymptotics / Floyd B.
Hanson / 211 \\
Uniform Asymptotic Remainders / D. S. Jones / 241 \\
Period Tripling and Subharmonic Oscillations in
Marangoni Flows in a Cylindrical Liquid Bridge /
Nicholas D. Kazarinoff and Joseph S. Wilkowski / 265
\\
Positive Solutions for Degenerate and Nondegenerate
Elliptic Systems: Existence and Numerical
Approximations / Anthony W. Leung and Guangwei Fan /
285 \\
Observable Tunneling in Several Dimensions / R. E.
Meyer / 299 \\
On Stokes Phenomenon and Converging Factors / Frank W.
J. Olver / 329 \\
Singularly Perturbed Boundary Value Problems Viewed in
the Li{\'e}nard Plane / J. D. Allen and R. E. O'Malley,
Jr. / 357 \\
On the Asymptotic Theory of the Orr--Sommerfeld / W. H.
Reid / Problem \\
Gevrey Property of Formal Solutions in a Parameter /
Yasutaka Sibuya / 393 \\
A Riccati Approach to the Airy Equation / Donald R.
Smith / 403 \\
A System of Polynomials Associated with the Chester,
Friedman, and Ursell Technique / K. Soni and R. P. Soni
/ 417 \\
Rational Approximation of the Step, Filter, and Impulse
Functions / Yasuhiko Ikebe, Marek Kowalski, and Frank
Stenger 455 / 441 \\
Polynomial Asymptotic Estimates of Gegenbauer,
Laguerre, and Jacobi Polynomials / Nico M. Temme / 455
\\
Integrals with a Large Parameter and the
Maximum-Modulus Principle / F. Ursell / 477 \\
Finite Axial Extension and Torsion of Elastic
Helicoidal Shells / Frederic Y. M. Wan / 491 \\
Some Properties of Convolution Sequences and
Asymptotics for the Taylor Coefficients for Products of
Bessel Functions / Jet Wimp / 517 \\
A Generalization of Olver's Algorithm for Linear
Difference Systems / R. V. M. Zahar / 535 \\
\\
Contributed Papers \\
\\
Continental Shelf Wave Scattering: Partial Removal of
the Rigid Lid / Anthony M. J. Davis / 555 \\
Some Aspects of Invariant Subspaces Computation / Luca
Dieci and Robert D. Russell / 565 \\
Error Bounds via Complete Monotonicity for a Uniform
Asymptotic Expansion of the Legendre Function
$P_m^{-m}(\cosh z)$ / C. L. Frenzen / 587 \\
Computational Asymptotics of Fourth-Order Operators /
P. A. Carinhas and S. A. Fulling / 601 \\
Universal Asymptotic Distribution Functions mod 1 /
William M. Y. Goh and Eric Schmutz / 619 \\
On the $n$-Variable Saddle Point and Steepest Descent
Methods / D. Kaminski / 627 \\
Applications of the Method of Steepest Descents in
Wave-Propagation Problems / Francesco Mainardi and
Giuliano Vitali / 639 \\
The Asymptotics of Pearcey's Integral for Complex
Variables / R. B. Paris / 653 \\
Asymptotic Methods in Magnetoconvection / N. Rudraiah,
O. P. Chandna, and R. M. Barron / 669 \\
The Interior Layer Structure for a Linear Parabolic
Problem with Discontinuous Data / Shagi-Di Shih / 685
\\
Asymptotic Expansions of Solutions to $\Delta u - u =
f$ at Infinity / D. Siegel / 697 \\
Approximating Zeros of Solutions of Second-Order Linear
ODEs by ``Phase Function'' Methods / R. Spigler and M.
Vianello / 707 \\
Asymptotic Expansions of Integrals of Two Bessel
Functions / B. J. Stovanov, R. A. Farrell, and J. F.
Bird / 723 \\
On Eigenvalues with Exponentially Small Imaginary Part
/ A. D. Wood and R. B. Paris / 741 \\
Index / 751",
}
@Proceedings{Martin:1992:WAP,
editor = "P. A. Martin and G. R. Wickham",
booktitle = "Wave Asymptotics: the proceedings of the meeting to
mark the retirement of {Professor Fritz Ursell from the
Beyer Chair of Applied Mathematics in the University of
Manchester}",
title = "Wave Asymptotics: the proceedings of the meeting to
mark the retirement of {Professor Fritz Ursell from the
Beyer Chair of Applied Mathematics in the University of
Manchester}",
publisher = pub-CAMBRIDGE,
address = pub-CAMBRIDGE:adr,
pages = "xii + 244",
year = "1992",
ISBN = "0-521-41414-8 (hardcover)",
ISBN-13 = "978-0-521-41414-2 (hardcover)",
LCCN = "TC172 .W38 1992",
bibdate = "Tue Nov 7 05:59:17 MST 2023",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
shorttableofcontents = "1 Sir James Lighthill / Asymptotic behaviour
of anistropic wave systems stimulated by oscillating
sources / 1 \\
2 J. N. L. Connor, P. R. Curtis \& R. A. W. Young /
Uniform asymptotics of oscillating integrals:
applications in chemical physics / 24 \\
3 R. E. Meyer / Approximation and asymptotics / 43 \\
4 F. W. J. Olver / Converging factors / 54 \\
5 F. G. Leppington / Matched asymptotic methods in
surface wave theory / 69 \\
6 V. Hutson / Asymptotics in some biological models /
86 \\
7 J. N. Newman / Approximation of free-surface Green
functions / 107 \\
8 K. Eggers / On far-field approximations to the wave
pattern around a ship travelling at constant velocity /
136 \\
9 John P. Breslin / An analytical theory of propeller
generated effective wake / 160 \\
10 E. O. Tuck / Analytical aspects of slender body
theory / 184 \\
11 D. V. Evans / Vertical barriers, sloping beaches and
submerged bodies / 202 \\
12 F. Ursell / Some unsolved and unfinished problems in
the theory of waves / 220",
tableofcontents = "Foreword page / xi \\
Preface / xiii \\
Contributors / xiv \\
\\
1 Sir James Lighthill: Asymptotic behaviour of
anistropic wave systems stimulated by oscillating
sources / 1 \\
1.1 Abstract / 1 \\
1.2 Introduction / 1 \\
1.3 Explanation of the Fourier integral which has to be
asymptotically estimated / 3 \\
1.4 Special problems in the estimation of this Fourier
integral / 5 \\
1.5 The estimation method of Lighthill (1960, 1978)
briefly recapitulated / 6 \\
1.6 Reconsideration of what poles lie in the strip / 8
\\
1.7 Formulating the contribution from $S_{-i}$ to our
integrals / 10 \\
1.8 Behaviour near $C$ of the contribution from
$S_{-i}$ to our integrals / 12 \\
1.9 Essential role of the integral over $S_{-i}$ as a
continuation of that over $S_+$ / 14 \\
1.10 Some important asymptotic results in two or three
dimensions / 14 \\
1.11 Wave generation by travelling forcing effects / 18
\\
1.12 References / 22 \\
\\
2 J. N. L. Connor, P. R. Curtis \& R. A. W. Young:
Uniform asymptotics of oscillating integrals:
applications in chemical physics / 24 \\
2.1 Introduction / 24 \\
2.2 Uniform cuspoid approximation / 26 \\
2.3 Uniform hyperbolic umbilic approximation / 28 \\
2.4 Application of the uniform hyperbolic umbilic
approximation / 29 \\
2.5 Franck--Condon integrals / 32 \\
2.6 Catastrophe theory analysis of the exponent / 35
\\
2.6.1 Rules for finding the corank and determinancy of
an analytic function/ 39 \\
2.6.2 Unfolding the catastrophe / 37 \\
2.7 Uniform swallowtail evaluation of Franck--Condon
integrals / 38 \\
2.8 Conclusions / 39 \\
2.9 References / 40 \\
\\
3 R. E. Meyer: Approximation and asymptotics / 43 \\
3.1 Introduction / 43 \\
3.2 Objectives and limits / 44 \\
3.3 Solutions and observables / 45 \\
3.4 Asymptotic misunderstandings / 46 \\
3.5 Filters / 48 \\
3.6 Conclusion / 52 \\
3.7 References / 53 \\
\\
4 F. W. J. Olver: Converging factors / 54 \\
4.1 Exponentially accurate asymptotic expansions / 54
\\
4.2 Researches of J. R. Airey / 56 \\
4.3 Researches of R. B. Dingle / 58 \\
4.4 Rigorous proofs / 61 \\
4.5 Researches of M. V. Berry / 62 \\
4.6 Generalized exponential integral / 63 \\
4.7 Confluent hypergeometric function / 64 \\
4.8 Conclusions / 65 \\
4.9 References / 66 \\
\\
5 F. G. Leppington: Matched asymptotic methods in
surface wave theory / 69 \\
5.1 Introduction / 69 \\
5.2 Transmission past a partially immersed cylinder /
70 \\
5.2.1 Outer region / 17 \\
5.2.2 Right inner region / 17 \\
5.2.3 Left inner region / 73 \\
5.2.4 Matching / 73 \\
5.2.5 Right inner approximation / 173 \\
5.2.6 Outer approximation / 74 \\
5.2.7 Left outer approximation / 75 \\
5.2.8 Generalisations / 175 \\
5.3 Radiation problem: heaving cylinder ce / 76 \\
5.4 Scattering from a plane vertical obstacle / 78 \\
5.4.1 Left inner approximation / 19 \\
5.4.2 Transmission coefficient / 80 \\
5.4.3 Generalisation / 80 \\
5.5 Scattering of long waves by a submerged circular
cylinder / 80 \\
5.5.1 Outer region / 81 \\
5.5.2 Inner approximation / 82 \\
5.5.3 Outer approximation / 82 \\
5.6 References / 83 \\
\\
6 V. Hutson: Asymptotics in some biological models / 86
\\
6.1 Introduction / 8 \\
6.1.1 General remarks / 86 \\
6.1.2 Two mathematical models / 87 \\
6.1.3 Preliminary observations / 89 \\
6.2 Permanence / 90 6.2.1 Introduction / 9 \\
6.2.2 Semiflows / 9 \\
6.2.3 Average Liapunov functions / 94 \\
6.2.4 Applications / 96 \\
6.2.5 Conclusions / 98 \\
6.3 Patterns and travelling waves / 99 \\
6.3.1 Introduction / 99 \\
6.3.2 Turing instability / 99 \\
6.3.3 Travelling waves / 101 \\
6.4 References / 105 \\
\\
7 J. N. Newman: Approximation of free-surface Green
functions / 107 \\
7.1 Introduction / 107 \\
7.2 Polynomial approximation / 110 \\
7.3 Array of Rankine image sources / 112 \\
7.4 Frequency domain infinite depth / 114 \\
7.5 Frequency domain finite depth / 116 \\
7.6 Time domain --- infinite depth / 117 \\
7.7 Time domain --- finite depth / 121 \\
7.8 Discussion and conclusions / 128 \\
7.9 Acknowledgement / 131 \\
7.10 References / 131 \\
7.11 Appendix --- extension of equation 7.41 / 132 \\
\\
8 K. Eggers: On far-field approximations to the wave
pattern around a ship travelling at constant velocity /
136 \\
8.1 Historical remarks / 136 \\
8.2 The rule of stationary phase / 141 \\
8.3 Kelvin's approximation through single wave
components / 142 \\
8.4 Contour integration in the complex $k$-plane using
polar coordinates, with $k$ as the inner integration
variable / 145 \\
8.5 Contour integration in the complex $w$-plane using
Cartesian coordinates, with w as the inner integration
variable / 146 \\
8.6 Contour integration in the complex $u$-plane using
Cartesian coordinates, with $u$ as the inner
integration variable / 147 \\
8.7 Discussion of the different decompositions / 149
\\
8.8 Bessho's compact single-integral representation of
the wave field / 150 \\
8.9 The determination of wave resistance from measured
wave profiles / 153 \\
8.9.1 Profiles along a longitudinal cut / 153 \\
8.9.2 Profiles along a transverse cut / 155 \\
8.10 The ray approach to the ship-wave problem / 156
\\
8.11 Conclusions / 157 \\
8.12 References / 157 \\
\\
9 John P. Breslin: An analytical theory of propeller
generated effective wake / 160 \\
9.1 Introduction / 160 \\
9.2 Analysis / 162 \\
9.2.1 Assumptions / 162 \\
9.2.2 Euler and continuity equations / 162 \\
9.2.3 Axisymmetric linearized equations / 164 \\
9.2.4 Solution for a class of shearflows / 165 \\
9.2.5 The radial component of induced velocity / 170
\\
9.2.6 The axial component of induced velocity / 171 \\
9.3 Numerical evaluations / 172 \\
9.4 Partly non-linear theory / 172 \\
9.5 Comparison of weighted-average wake parameters /
177 \\
9.6 Concluding remarks / 180 \\
9.7 Acknowledgements / 181 \\
9.8 References / 181 \\
\\
10 E. O. Tuck: Analytical aspects of slender body
theory / 184 \\
10.1 The central asymptotic result of slender body
theory / 184 \\
10.2 Special cases / 187 \\
10.3 Surface pressures / 192 \\
10.4 Higher approximations / 195 \\
10.5 Lateral flow / 197 \\
10.6 More generalisations / 199 \\
10.7 References / 200 \\
\\
11 D. V. Evans: Vertical barriers, sloping beaches and
submerged bodies / 202 \\
11.1 Vertical barriers / 202 \\
11.2 Sloping beaches / 207 \\
11.3 Submerged bodies / 210 \\
11.4 Conclusion / 216 \\
11.5 References / 217 \\
\\
12 F. Ursell: Some unsolved and unfinished problems in
the theory of waves / 220 \\
12.1 The uniqueness problem for linear water waves /
220 \\
12.2 Problems relating to the heaving motion of a
circular cylinder in the surface of a fluid (moderate
and long wavelengths) / 221 \\
12.3 Short-wave asymptotics for the heaving circular
cylinder / 222 \\
12.4 Problems relating to wave resistance / 224 \\
12.5 Problems relating to trapping modes / 224 \\
12.6 Problems relating to integrals with a large
parameter / 225 \\
12.7 Conclusions / 225 \\
12.8 Publications by F. Ursell / 225 \\
12.8.1 Water waves / 225 \\
12.8.2 Aerodynamics / 227 \\
12.8.3 Acoustics / 227 \\
12.8.4 Mathematical models / 228 \\
12.8.5 Oceanography / 228 \\
12.8.6 Biography / 229 \\
12.9 Notes on the list of publications / 229 \\
12.9.1 Ship hydrodynamics and linear theory of water
waves / 229 \\
12.9.2 Acoustics / 237 \\
12.9.3 Asymptotics of integrals / 238 \\
12.9.4 Aerodynamics / 242 \\
12.9.5 Oceanography / 242 \\
12.9.6 Papers by research students / 243",
}
@Proceedings{Sincovec:1993:PSS,
editor = "Richard F. Sincovec and David E. Keyes and Michael R.
Leuze",
booktitle = "{Proceedings of the Sixth SIAM Conference on Parallel
Processing for Scientific Computing, held March 22--24,
1993, in Norfolk, VA, USA}",
title = "{Proceedings of the Sixth SIAM Conference on Parallel
Processing for Scientific Computing, held March 22--24,
1993, in Norfolk, VA, USA}",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "xix + 1041 + iv",
year = "1993",
ISBN = "0-89871-315-3a",
ISBN-13 = "978-0-89871-315-2",
LCCN = "QA76.58 .S55 1993 v.1-2",
bibdate = "Tue Oct 11 12:21:40 1994",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib;
https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "Two volumes.",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@Proceedings{Gautschi:1994:MCH,
editor = "Walter Gautschi",
booktitle = "{Mathematics of computation, 1943--1993: a
half-century of computational mathematics: Mathematics
of Computation 50th Anniversary Symposium, August
9--13, 1993, Vancouver, British Columbia}",
title = "{Mathematics of computation, 1943--1993: a
half-century of computational mathematics: Mathematics
of Computation 50th Anniversary Symposium, August
9--13, 1993, Vancouver, British Columbia}",
volume = "48",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "xix + 643",
year = "1994",
ISBN = "0-8218-0291-7, 0-8218-0353-0 (pt. 1), 0-8218-0354-9
(pt. 2)",
ISBN-13 = "978-0-8218-0291-5, 978-0-8218-0353-0 (pt. 1),
978-0-8218-0354-7 (pt. 2)",
ISSN = "0160-7634",
LCCN = "QA1 .A56 v.48 1994; QA297.M385 1993",
MRclass = "00B25 (11-06 65-06)",
MRnumber = "95j:00014",
bibdate = "Mon Oct 24 11:37:20 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib;
https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
https://www.math.utah.edu/pub/bibnet/authors/h/higham-nicholas-john.bib;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/bibnet/authors/w/wigner-eugene.bib;
https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
https://www.math.utah.edu/pub/tex/bib/fparith.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1940.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1950.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1960.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib;
https://www.math.utah.edu/pub/tex/bib/mathcw.bib",
note = "See also SIAM Review, September 1995, {\bf 37}(3), p.
483.",
series = "Proceedings of Symposia in Applied Mathematics",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
tableofcontents = "Preface / xi \\
Mathematics of Computation: A brief history / Eugene
Isaacson / xvii \\
\\
Part I. Symposium on Numerical Analysis \\
\\
Invited Papers \\
\\
On the development of multigrid methods and their
analysis / James H. Bramble / 5 \\
An introduction to inverse problems / Margaret Cheney /
21 \\
Algorithms for unconstrained optimization: A review of
recent developments / Donald Goldfarb / 33 \\
A survey of componentwise perturbation theory in
numerical linear algebra / Nicholas J. Higham / 49 \\
Numerical evaluation of special functions / D. W.
Lozier and F. W. J. Olver / 79 \\
A survey of numerical cubature over triangles / J. N.
Lyness and Ronald Cools / 127 \\
New trends in the use and analysis of integral
equations / J. C. Nedelec / 151 \\
Applications of multivariate splines / Larry L.
Schumaker / 177 \\
Initial value problems for ordinary differential
equations: Development of ideas, techniques, and
implementation / Hans J. Stetter / 205 \\
Multiresolution methods for partial differential
equations / Roger Temam / 225 \\
\\
Contributed Papers \\
\\
A comparison of techniques for solving ill-conditioned
problems arising from the immersed boundary method /
Loyce Adams and Zhiyun Yang / 243 \\
A mixed spectral-collocation and operator splitting
method for the Wigner-Poisson equation / Anton Arnold /
249 \\
Finite volume methods for irregular one-dimensional
grids / M. J. Berger, R. J. Leveque, and L. G. Stern /
255 \\
Linear rational interpolation of continuous functions
over an interval / Jean-Paul Berrut / 261 \\
A von Neumann reflection for the 2-D Burgers equation /
M. Brio and J. K. Hunter / 265 \\
Slow evolution from the boundary: A new stabilizing
constraint in ill-posed continuation problems / Alfred
S. Carasso / 269 \\
A finite element method for the 2D drift-diffusion
semiconductor model / Zhangxin Chen / 275 \\
Splitting functions and numerical analysis of WR-type
methods for evolutionary and stationary problems / S.
De Marchi, M. Vianello, and R. Zanovello / 281 \\
Error estimates for a quadrature rule for Cauchy
principal value integrals / Kai Diethelm / 287 \\
A numerical radius approach to stable difference
schemes for parabolic systems / Moshe Goldberg / 293
\\
An extension of the Olver-Sookne method for the
solution of second-order linear difference equations /
Takemitsu Hasegawa and Tatsuo Torii / 297 \\
The Faber polynomials for circular arcs / Matthew He /
301 \\
Finite element approximation for optimal control of
electrically conducting fluid flows / L. S. Hou and S.
S. Ravindran / 305 \\
ADI methods for heat equations with discontinuities
along an arbitrary interface / Zhilin Li and Anita Mayo
/ 311 \\
Eigenvalue approximation of Fredholm integral operators
/ E. B. Lin / 317 \\
Spectral methods for singular perturbation problems /
Wenbin Liu and Tao Tang / 323 \\
A quaternion-Jacobi method for symmetric matrices /
Niloufer Mackey / 327 \\
On constructing Chebyshev series solutions of
differential equations / Allan J. MacLeod / 333 \\
Multiquadric collocation methods in the numerical
solution of Volterra integral and integro-differential
equations / Athena Makroglou / 337 \\
Methods for solving large eigenvalue problems
associated with configuration interaction electronic
structure calculations / Kristyn J. Maschhoff / 343 \\
Computing limiting normals to real surfaces / Donal
O'Shea and Les Wilson / 349 \\
Orthogonal spline collocation solution of nonlinear
Schr{\"o}dinger equations / Mark P. Robinson / 355 \\
Who invented the computer? The debate from the
viewpoint of computer architecture / Ra{\'u}l Rojas /
361 \\
Locking and boundary layer effects in the finite
element approximation of the Reissner--Mindlin plate
model / Christoph Schwab and Manil Suri / 367 \\
Efficient spectral Galerkin methods for some elliptic
problems / Jie Shen / 373 \\
Periodic solutions of higher-order difference equations
in two independent variables / Qin Sheng and Ravi P.
Agarwal / 377 \\
Front tracking based on high-resolution wave
propagation methods / Keh-Ming Shyue / 383 \\
Time-splitting methods for nonhomogeneous conservation
laws / Tao Tang and Zhen-Huan Teng / 389 \\
Numerical aspects of uniform Airy-type asymptotic
expansions / N. M. Temme / 395 \\
Local dynamics and bifurcation consistencies of
continuous-time dynamical systems and their numerical
discretizations / Xin Wang, Edward K. Blum, and Qingnan
Li / 399 \\
Computing integrals of the complex error function / J.
A. C. Weideman / 403 \\
Quadratures for improper integrals and their
applications in integral equations / Yuesheng Xu and
Yunhe Zhao / 409 \\
Spline harmonic analysis and wavelet bases / Valery A.
Zheludev / 415 \\
\\
Part II. Minisymposium on Computational Number Theory
Dedicated to the memory of Derrick Henry Lehmer \\
\\
Invited Papers \\
\\
Algorithms for quadratic orders / Ingrid Biehl and
Johannes Buchmann / 425 \\
Analytic computations in number theory / Andrew M.
Odlyzko / 451 \\
The number field sieve / Carl Pomerance / 465 \\
Factoring integers before computers / H. C. Williams
and J. O. Shallit / 481 \\
\\
Contributed Papers \\
\\
Explicit bounds for primes in residue classes / Eric
Bach and Jonathan Sorenson / 535 \\
Ramanujan and Euler's constant / Richard P. Brent / 541
\\
Congruential sieves on FPGA computers / Nathan D.
Bronson and Duncan A. Buell / 547 \\
Lehmer pairs of zeros and the Riemann $\xi$-function /
George Csordas, Wayne Smith, and Richard S. Varga / 553
\\
A record Aliquot sequence / Andrew W. P. Guy and
Richard K. Guy / 557 \\
Implications of computational mathematics for the
philosophy of mathematics / Andrew J. Lazarus / 561 \\
Square roots of products of algebraic numbers / Peter
L. Montgomery / 567 \\
A locally parameterized version of Lehmer's problem /
Gary A. Ray / 573 \\
A new method for finding amicable pairs / H. J. J. te
Riele / 577 \\
Generalized Fermat numbers / Hans Riesel and Anders
Bj{\"o}rn / 583 \\
Evaluation of $\zeta_K(2)$ for some totally real
algebraic number fields K of degree 9 / Kisao Takeuchi
/ 589 \\
The period of the Bell exponential integers modulo a
prime / Samuel S. Wagstaff, Jr. / 595 \\
Computing invariant polynomials of $p$-adic reflection
groups / Changsheng Xu / 599 \\
Author Index / 603 \\
Subject Index / 619",
}
@Proceedings{Dunkl:2000:PIW,
editor = "Charles F. Dunkl and Mourad Ismail and Roderick Wong",
booktitle = "{Proceedings of the international workshop, special
functions: Hong Kong, 21--25 June 1999}",
title = "{Proceedings of the international workshop, special
functions: Hong Kong, 21--25 June 1999}",
publisher = pub-WORLD-SCI,
address = pub-WORLD-SCI:adr,
pages = "xi + 438",
year = "2000",
ISBN = "981-02-4393-6",
ISBN-13 = "978-981-02-4393-7",
LCCN = "QA351.P76 2000; QC20.7.F87 P76 2000",
bibdate = "Tue Nov 7 07:30:40 MST 2023",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
remark = "Proceedings \ldots{} presented at the International
Workshop on Special Functions--Asymptotics, Harmonic
Analysis and Mathematical Physics that was held June
21--25, 1999 at the City University of Hong Kong.",
subject = "Functions, Special; Congresses; Fonctions
sp{\'e}ciales; Congr{\`e}s; Functions, Special.",
tableofcontents = "Integral Representations of Quasi Hypergeometric
Functions / K. Aomoto \\
Combinatorics of Crystals for Tensor and Spinor
Representations of $U_q(B_n)$ / T. H. Baker \\
On Infinitely Divisible Solutions to Indeterminate
Moment Problems / C. Berg \\
Generating Orthogonal Polynomials for Exponential
Weights on a Finite Interval / R. C. Y. Chin and D.
Ridzal \\
Spherical Multipliers and Spherical Multiplier
Transformations / H. Ding \\
Generating Functions Associated with Dihedral Groups /
C. F. Dunkl \\
Existence of Approximate Identities in Maximal Ideals
of Hypergroup-Algebras / F. Filbir \\
Zeros of Jacobi Polynomials with Varying Non-Classical
Parameters / A. Martinez-Finkelshtein, P.
Martinez-Gonzalez and R. Orive \\
Asymptotic Behavior of Eigenfunctions for the Hecke
Algebra on Homogeneous Trees / P. Gerarding and K. F.
Lai \\
Some Relations for Partitions into Four Squares / M. D.
Hirschhorn and J. A. Sellers \\
Algebraic Aspects of Quantum Calogero Models / S. Kakei
and Y. Kato \\
Special Functions and Perturbations of Black Holes / E.
G. Kalnins, W. Miller, Jr. and G. F. Torres Del
Castillo and others \\
On a Nonlinear Recurrence Related to Nevai Polynomials
/ D. Kaminski \\
Inversion Formulas Involving Orthogonal Polynomials and
Some of Their Applications / R. Koekoek \\
Bochner-Krall Orthogonal Polynomials / K. H. Kwon, G.
J. Yoon and L. L. Littlejohn \\
Orthogonal Expansions for $L^p$ \\
and $C$-Spaces / R. Lasser and J. Obermaier \\
The DLMF Project: A New Initiative in Classical Special
Functions / D. W. Lozier \\
Resurgence in Difference Equations, with an Application
to Legendre Functions / F. W. J. Olver \\
On Exorcising Secular Terms / R. E. O'Malley, Jr. \\
New Asymptotic Formulas for the Riemann Zeta Function
on the Critical Line / R. B. Paris \\
A q-Analogue of a Product Formula of Balley and Related
Results / M. Rahman \\
The Brahmagupta Matrix and its Applications to Tiling /
R. Rangarajan and E. R. Suryanarayan \\
Elliptic Integrals of the First and Second Kind \\
Comparison of Bulirsch's and Carlson's Algorithms for
Numerical Calculation / K.-D. Reinsch and W. Raab \\
Short-Time Estimates for Heat Kernels Associated with
Root Systems / M. Rosler \\
Solitons and Coulomb Plasmas, Similarity Reductions and
Special Functions / V. P. Spiridonov \\
The Role of Hermite Polynomials in Asymptotic Analysis
/ N. M. Temme and J. L. Lopez \\
Statistics of Graph Spectra for Some Finite Matrix
Groups: Finite Quantum Chaos / A. Terras \\
Convolution Semigroups and Calderon's Formula for
Compact K-Variable Continuous Polynomial Hypergroups /
K. Trimeche \\
Rodrigues Formulas for Nonsymmetric Multivariable
Polynomials Associated with Quantum Integrable Systems
of Calogero-Sutherland Type / H. Ujino and A. Nishino
\\
Orthogonal Polynomials and Their Asymptotic Behavior /
R. Wong \\
A Product Formula of Jacobi Polynomials / Y. Xu \\
Schur Functions and Two Realizations of the Basic
$A_1^{(1)}$-Module / H.-F. Yamada",
}
@Book{Wong:2000:SPF,
editor = "Roderick Wong",
booktitle = "Selected papers of {F. W. J. Olver. Part I, II}",
title = "Selected papers of {F. W. J. Olver. Part I, II}",
volume = "7",
publisher = pub-WORLD-SCI,
address = pub-WORLD-SCI:adr,
pages = "xviii + 520 (Part I); x + 521--1074 (Part II)",
year = "2000",
DOI = "https://doi.org/10.1142/4251",
ISBN = "981-02-4106-2",
ISBN-13 = "978-981-02-4106-3",
MRclass = "01A75 (33-06 34-06 34E05 65-06)",
MRnumber = "1759688",
MRreviewer = "K. C. Gupta",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
series = "World Scientific Series in 20th Century Mathematics",
URL = "https://www.worldscientific.com/worldscibooks/10.1142/4251",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
tableofcontents = "The Asymptotic Solution of Linear Differential
Equations of the Second Order for Large Values of a
Parameter \\
The Asymptotic Expansion of Bessel Functions of Large
Order \\
Uniform Asymptotic Expansions for Weber Parabolic
Cylinder Functions of Large Orders \\
Error Bounds for the Liouville-Green (or WKB)
Approximation \\
Error Analysis of Phase-Integral Methods \\
Numerical Solution of Second-Order Linear Difference
Equations \\
Unsolved Problems in the Asymptotic Estimation of
Special Functions \\
General Connection Formulae for Liouville-Green
Approximations in the Complex Plane \\
Beyond Floating Point \\
On Stokes' Phenomenon and Converging Factors \\
Airy and Bessel Functions by Parallel Integration of
ODEs \\
Hyperasymptotic Solutions of Second-Order Linear
Differential Equations \\
On the Asymptotic and Numerical Solution of Linear
Ordinary Differential Equations \\
and 42 other papers",
}
@Book{Lide:2001:CEM,
editor = "D. R. Lide",
booktitle = "A Century of Excellence in Measurements, Standards,
and Technology: {A} Chronicle of Selected {NBS\slash
NIST} Publications, 1901--2000",
title = "A Century of Excellence in Measurements, Standards,
and Technology: {A} Chronicle of Selected {NBS\slash
NIST} Publications, 1901--2000",
volume = "958",
publisher = pub-NTIS,
address = pub-NTIS:adr,
pages = "ix + 386",
year = "2001",
bibdate = "Wed Oct 25 15:09:56 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
https://www.math.utah.edu/pub/bibnet/authors/h/hestenes-magnus-r.bib;
https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
https://www.math.utah.edu/pub/bibnet/authors/m/metropolis-nicholas.bib;
https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
https://www.math.utah.edu/pub/bibnet/authors/t/taussky-todd-olga.bib;
https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib;
https://www.math.utah.edu/pub/bibnet/authors/t/tukey-john-w.bib;
https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "NIST Special Publication",
URL = "https://nvlpubs.nist.gov/nistpubs/sp958-lide/cntsp958old.htm",
acknowledgement = ack-nhfb,
subject-dates = "Magnus Rudolph Hestenes (13 February 1906--31 May
1991)",
tableofcontents = "Introduction / David R. Lide / 002 \\
The Absolute Measurement of Inductance / A-M. Jeffrey,
N. B. Belecki, and J. F. Mayo-Wells / 005 \\
Determination of the Constants of Total Radiation From
a Black Body / Albert C. Parr / 007 \\
The Testing of Thermal Insulators / Robert R. Zarr /
010 \\
Precipitation Hardening of Metal Alloys / Sam Coriell /
014 \\
Construction and Operation of a Simple Homemade Radio
Receiving Outfit / Brian Belanger / 016 \\
Methods for Standardizing and Testing Precision Gage
Blocks / Ted Doiron / 019 \\
Recommended Minimum Requirements for Small Dwelling
Construction / Joel P. Zingeser / 022 \\
Visibility of Radiant Energy / Jonathan E. Hardis / 025
\\
Test of the Severity of Building Fires / David Evans,
Daniel Gross, and Richard Wright / 028 \\
Calculation of Compounds in Portland Cements / Geoffrey
Frohnsdorff / 033 \\
Development of the Visual-Type Airway Radio-Beacon
System / Hans J. Oser / 038 \\
A Hydrogen Isotope of Mass 2 / Walter J. Hamer and H.
Steffen Peiser / 043 \\
Air Flow and Turbulence in Boundary Layers / Norman A.
Mease and James E. Potzick / 046 \\
Thermodynamic Properties of Water and Steam for Power
Generation / Allan H. Harvey and Johanna M. H. Levelt
Sengers / 049 \\
Absolute Pressure Calibrations of Microphones / Victor
Nedzelnitsky / 053 \\
Absolute Determination of the Ampere / E. R. Williams,
R. E. Elmquist, N. B. Belecki, and J. F. Mayo-Wells /
056 \\
Radio Proximity Fuzes / John W. Lyons, E. A. Brown, and
B. Fonoroff / 059 \\
Stability of Double-Walled Manganin Resistors / R.
Dziuba, N. B. Belecki, and J. F. Mayo-Wells / 063 \\
Manufacture of Paper for War Maps and Other
Applications / William K. Wilson / 066 \\
Transmission of Sound Waves in Gases at Low Pressures /
Thomas M. Proctor / 069 \\
Atomic Energy Levels and Other Spectroscopic Data /
Wolfgang L. Wiese / 073 \\
Iteration Method for the Solution of the Eigenvalue
Problem of Linear Differential and Integral Operators /
Dianne P. O'Leary / 077 \\
Methods of Conjugate Gradients for Solving Linear
Systems / Dianne P. O'Leary / 081 \\
Computer Development at the National Bureau of
Standards / Russell A. Kirsch / 086 \\
Thermal Converters as AC--DC Transfer Standards for
Current and Voltage Measurements at Audio Frequencies /
J. R. Kinard, Jr., N. B. Belecki, and J. F. Mayo-Wells
/ 090 \\
Selected Values of Chemical Thermodynamic Properties /
David R. Lide / 093 \\
Applied Inorganic Analysis / Charles M. Beck II / 097
\\
The Diamond Anvil Pressure Cell / Gasper Piermarini and
Stanley Block / 100 \\
Polymer Crystallization With Folded Chains / Freddy
Khoury, John Hoffman, and Tom Davis / 104 \\
Cryogenic Engineering / Richard H. Kropschot / 107 \\
Reversal of the Parity Conservation Law in Nuclear
Physics / Ralph P. Hudson / 111 \\
Effects of Configuration Interaction on Intensities and
Phase Shifts / Charles W. Clark / 116 \\
Electromagnetic Waves in Stratified Media / D. A. Hill
/ 120 \\
``Second Breakdown'' in Transistors / Harry A. Schafft
/ 123 \\
Stress Relaxation With Finite Strain / Elliot Kearsley
and Barry Bernstein / 126 \\
Realistic Evaluation of the Precision and Accuracy of
Instrument Calibration Systems / M. Carroll Croarkin /
129 \\
Experimental Statistics / M. Carroll Croarkin / 132 \\
Handbook of Mathematical Functions / Ronald F. Boisvert
and Daniel W. Lozier / 135 \\
Paths, Trees, and Flowers / Christoph Witzgall, Ronald
Boisvert, Geraldine Cheok, Saul Gass, Alan Goldman, and
James Lawrence / 140 \\
Concepts, Terminology, and Notation for Optical
Modulation / Calvin S. McCamy / 145 \\
Theory of Light Scattering in Fluids / Raymond D.
Mountain / 149 \\
Scaling Analysis of Thermodynamic Properties in the
Critical Region of Fluids / Raymond D. Mountain / 152
\\
Resonance Tunneling of Field Emitted Electrons Through
Adsorbates on Metal Surfaces / J. W. Gadzuk / 155 \\
Quantitative Electron Probe Microanalysis / Dale E.
Newbury / 160 \\
Limits for Qualitative Detection and Quantitative
Determination / Richard M. Lindstrom / 164 \\
Traceability: An Evolving Concept / Brian Belanger,
Stanley Rasberry, Ernest Garner, Carroll Brickencamp,
and Charles Ehrlich / 167 \\
Code for Information Interchange / Martha M. Gray / 172
\\
Consumer Information Series / Walter G. Leight and W.
Reeves Tilley / 174 \\
Theory of Isoperibol Calorimetry for Laser Power and
Energy Measurement / Thomas R. Scott / 178 \\
Influence of Water on Crack Growth in Glass / Edwin
Fuller, William Luecke, and Stephen Freiman / 181 \\
Phase Equilibria Diagrams / Ronald Munro, Howard
McMurdie, Helen Ondik, and Terrell Vanderah / 184 \\
Determination of Reduced Cells in Crystallography /
Alan D. Mighell, Vicky Lynn Karen, and Ronald Munro /
188 \\
Speed of Light From Direct Frequency and Wavelength
Measurements / Donald B. Sullivan / 191 \\
Connecting Visible Wavelength Standards With X Rays and
{gamma}Rays / Richard D. Deslattes / 194 \\
Laser Cooling of Atoms / D. B. Sullivan / 200 \\
Spin-Polarized Electrons / Daniel T. Pierce and Robert
J. Celotta / 203 \\
Needs for Radioactivity Standards and Measurements in
Different Fields / Bert Coursey / 209 \\
The Topografiner: An Instrument for Measuring Surface
Microtopography / J. S. Villarurubia, R. D. Young, F.
Scire, E. C. Teague, and J. W. Gadzuk / 214 \\
Electron-Stimulated Desorption / Ted Madey and John
Yates / 219 \\
Photochemistry of Small Molecules / James R. McNesby
and Ralph Klein / 224 \\
Role of Standard Reference Materials in Measurement
Systems / Thomas E. Gills / 227 \\
Metrology and Standardization to Assist Industrializing
Economies / Lewis M. Branscomb / 230 \\
Publications Taking Us Toward a Metric America / Ralph
A. Richter / 234 \\
A New Approach to Manipulator Control: The Cerebellar
Model Articulation Controller / James S. Albus / 237
\\
Three Dimensional Metrology / Ted Doiron / 241 \\
Initial Graphics Exchange Specifications / Sharon K.
Kemmerer / 246 \\
Data Encryption Standard / William E. Burr / 250 \\
OMNIDATA and the Computerization of Scientific Data /
John R. Rumble, Jr. / 254 \\
FORTRAN Test Programs / John Cugini / 258 \\
Design and Evaluation Criteria for Energy Conservation
in New Buildings / Jim L. Heldenbrand / 260 \\
Computer Program for Heating and Cooling Loads in
Buildings / George Walton / 266 \\
Methods for Testing and Rating the Performance of
Heating and Air Conditioning Systems / James E. Hill /
270 \\
System for Fire Safety Evaluation of Health Care
Facilities / Harold Nelson / 275 \\
Estimation of Rate of Heat Release by Means of Oxygen
Consumption Measurements / Kenneth D. Steckler / 280
\\
Probability-Based Load Criteria for Structural Design /
Bruce R. Ellingwood / 283 \\
Resistivity-Dopant Density Relationship for
Phosphorus-Doped Silicon / W. R. Thurber / 289 \\
Critical Data for Critical Needs / John R. Rumble, Jr.
/ 291 \\
Materials at Low Temperatures / Fred Fickett / 294 \\
Optical Fiber Characterization / D. L. Franzen / 297
\\
Quasicrystals / Ronald Munro, Frank Gale, and Carol
Handwerker / 300 \\
Protein Crystallography by Joint X-Ray and Neutron
Diffraction / Norman F. Berk / 303 \\
Strain Effects in Superconducting Compounds / J. W.
Ekin / 306 \\
Dental Research at the National Bureau of Standards /
John Tesk and Ronald Munro / 309 \\
Handbook for Standard Reference Materials Users /
Thomas E. Gills / 313 \\
A Practical Josephson Voltage Standard at One Volt / Y.
Tang, N. B. Belecki, and J. F. Mayo-Wells / 315 \\
Plane-Wave Scattering-Matrix Theory of Antennas and
Antenna-Antenna Interactions / A. G. Repjar and J. F.
Mayo-Wells / 319 \\
The Automated Manufacturing Research Facility / James
S. Albus / 322 \\
Submicrometer Linewidth Metrology / Michael T. Postek
and Robert D. Larrabee / 328 \\
Observation of Atoms Laser-Cooled Below the Doppler
Limit / Steven Rolston / 331 \\
Laser-Excited Hot-Electron Induced Desorption / J. W.
Gadzuk / 334 \\
Measurement of the Universal Gas Constant Using an
Acoustic Resonator / Michael R. Moldover / 339 \\
Thermal and Oxidative Degradation of Polymers / Takashi
Kashiwagi / 344 \\
HAZARD I: Software for Fire Hazard Assessment / Richard
Bukowski / 347 \\
Analysis of the Catastrophic Rupture of a Pressure
Vessel / Tom Siewert / 350 \\
Curing Those Uncontrollable Fits of Interaction / Don
Libes / 353 \\
Baldrige Criteria for Performance Excellence / Curt
Reimann and Debbie Smyth / 357 \\
The Advanced Technology Program / Robert Sienkiewicz
and Richard N. Spivack / 359 \\
NIST Manufacturing Extension Partnership / Anita
O'Brien / 363 \\
Questions and Answers on Quality / Maureen Breitenberg
/ 366 \\
Uniformity in Weights and Measures Laws and Regulations
/ Joan Koenig / 368 \\
Certification of 10 $\mu$m Diameter Polystyrene Spheres
(``Space Beads'') / Tom Lettieri / 371 \\
Bose--Einstein Condensation in a Dilute Atomic Vapor /
James Faller / 375 \\
Index / David R. Lide / 379",
}
@Book{Olver:2010:NHM,
editor = "Frank W. J. Olver and Daniel W. Lozier and Ronald F.
Boisvert and Charles W. Clark",
key = "NIST",
booktitle = "{NIST} Handbook of Mathematical Functions",
title = "{NIST} Handbook of Mathematical Functions",
publisher = pub-CAMBRIDGE,
address = pub-CAMBRIDGE:adr,
pages = "xv + 951",
year = "2010",
ISBN = "0-521-19225-0",
ISBN-13 = "978-0-521-19225-5",
LCCN = "QA331 .N57 2010",
bibdate = "Sat May 15 09:08:09 2010",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/bibnet/authors/w/wigner-eugene.bib;
https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
https://www.math.utah.edu/pub/tex/bib/master.bib;
https://www.math.utah.edu/pub/tex/bib/mathcw.bib",
price = "US\$99.00",
URL = "http://dlmf.nist.gov/;
http://www.cambridge.org/9780521140638",
abstract = "The NIST Handbook of Mathematical Functions supplies
validated reference information in 36 chapters on a
wide selection of important mathematical functions,
covering the properties necessary for their use in
scientific applications, together with general accounts
of the mathematical methods necessary for advanced work
with the functions.",
acknowledgement = ack-nhfb,
editor-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
remark = "Includes a DVD with a searchable PDF of each
chapter.",
tableofcontents = "1. Algebraic and analytic methods [Ranjan Roy,
Frank W. J. Olver, Richard A. Askey and Roderick S. C.
Wong] \\
2. Asymptotic approximations [Frank W. J. Olver and
Roderick S. C. Wong] \\
3. Numerical methods [Nico M. Temme] \\
4. Elementary functions [Ranjan Roy and Frank W. J.
Olver] \\
5. Gamma function [Richard A. Askey and Ranjan Roy] \\
6. Exponential, logarithmic, sine and cosine integrals
[Nico M. Temme] \\
7. Error functions, Dawson's and Fresnel integrals
[Nico M. Temme] \\
8. Incomplete gamma and related functions [Richard B.
Paris] \\
9. Airy and related functions [Frank W. J. Olver] \\
10. Bessel functions [Frank W. J. Olver and Leonard C.
Maximon] \\
11. Struve and related functions [Richard B. Paris] \\
12. Parabolic cylinder functions [Nico M. Temme] \\
13. Confluent hypergeometric functions [Adri B. Olde
Daalhuis] \\
14. Legendre and related functions [T. Mark Dunster]
\\
15. Hypergeometric function [Adri B. Olde Daalhuis] \\
16. Generalized hypergeometric functions and Meijer
G-function [Richard A. Askey and Adri B. Olde Daalhuis]
\\
17. q-Hypergeometric and related functions [George E.
Andrews] \\
18. Orthogonal polynomials [Tom H. Koornwinder,
Roderick S. C. Wong, Roelof Koekoek and Rene F.
Swarttouw] \\
19. Elliptic integrals [Bille C. Carlson] \\
20. Theta functions [William P. Reinhardt and Peter L.
Walker] \\
21. Multidimensional theta functions [Bernard
Deconinck] \\
22. Jacobian elliptic functions [William P. Reinhardt
and Peter L. Walker] \\
23. Weierstrass elliptic and modular functions [William
P. Reinhardt and Peter L. Walker] \\
24. Bernoulli and Euler polynomials [Karl Dilcher] \\
25. Zeta and related functions [Tom M. Apostol] \\
26. Combinatorial analysis [David M. Bressoud] \\
27. Functions of number theory [Tom M. Apostol] \\
28. Mathieu functions and Hill's equation [Gerhard
Wolf] \\
29. Lam{\'e} functions [Hans Volkmer] \\
30. Spheroidal wave functions [Hans Volkmer] \\
31. Heun functions [Brian D. Sleeman and Vadim
Kuznetsov] \\
32. Painlev{\'e} transcendents [Peter A. Clarkson] \\
33. Coulomb functions [Ian J. Thompson] \\
34. 3j, 6j, 9j symbols [Leonard C. Maximon] \\
35. Functions of matrix argument [Donald St. P.
Richards] \\
36. Integrals with coalescing saddles [Michael V. Berry
and Chris Howls]",
}
