Berry, M.V. & Howls, C. J. (1991), Hyperasymptotics for integrals with saddles, Proc. R. Soc. Lond., Ser. A, 434, 657--675. Home/Search Document Not in Database Summary Related Articles Check |
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Uniform Asymptotic Expansions of Integrals: A Selection of Problems - Temme (1995) (Correct)
....voor Wiskunde en Informatica REPORTRAPPORT Uniform asymptotic expansions of integrals: a selection of problems N.M. Temme Department of Analysis, Algebra and Geometry AM R9503 1995 Report AM R9503 ISSN 0924 2953 CWI P.O. Box 94079 1090 GB Amsterdam The Netherlands CWI is the National Research Institute for Mathematics and Computer Science. CWI is part of the Stichting Mathematisch Centrum (SMC) the Dutch foundation for promotion of mathematics and computer science and their applications. SMC is sponsored by the ....
....for promotion of mathematics and computer science and their applications. SMC is sponsored by the Netherlands Organization for Scientific Research (NWO) CWI is a member of ERCIM, the European Research Consortium for Informatics and Mathematics. Copyright Stichting Mathematisch Centrum P.O. Box 94079, 1090 GB Amsterdam (NL) Kruislaan 413, 1098 SJ Amsterdam (NL) Telephone 31 20 592 9333 Telefax 31 20 592 4199 1 Uniform Asymptotic Expansions of Integrals: A Selection of Problems Paper presented at the Conference in honour of Thomas Jan Stieltjes Jr. 1856 1894) October 31 November 4, ....
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Berry, M.V. & Howls, C. J. (1991), Hyperasymptotics for integrals with saddles, Proc. R. Soc. Lond., Ser. A, 434, 657--675.
Recent Problems from Uniform Asymptotic Analysis of Integrals In.. - Temme (1998) (Correct)
....we consider an expansion of Tricomi Carlitz polynomials in terms of Hermite polynomials. We mention other recent expansions for orthogonal polynomials that do not satisfy a differential equation, and for which methods based on integral representations produce powerful uniform asymptotic expansions. 1991 Mathematics Subject Classification: 41A60, 33B20, 33C10, 33C45, 11B73, 30E15. Keywords and Phrases: uniform asymptotic expansions, Tricomi s Psi Gammafunction, Kummer functions, confluent hypergeometric functions, Whittaker functions, Hermite polynomials, Tricomi Carlitz polynomials. Note: ....
.... t Gammavalues are Sigmaw 0 ; Sigmat 0 , where t 0 = fi; w 0 = cosh Gamma1 (1 =2) ln 1 W 0 2 ; W 0 = p 2 4 : 3:12) It follows that A = Gamma 2 ; fi = w 0 sinh w 0 2 = 1 2 ln 1 W 0 2 1 4 W 0 : 3:13) With these values of A; fi the mapping w 7 t is regular at w = Sigmaw 0 and at w = 0. In fact it is regular in ( Gamma1; 1) and as a conformal mapping in a large domain Omega of the complex plane. We have the correspondences t( Sigma1) Sigma1; t( Sigmaw 0 ) Sigmafi ; t(0) 0: 3:14) Using transformation (3.11) in (3.9) we ....
[Article contains additional citation context not shown here]
M.V. Berry & C.J. Howls (1991). Hyperasymptotics for integrals with saddles, Proc. R. Soc. Lond., Ser. A 434, 657--675.
The Dlmf Project: A New Initiative In Classical Special Functions - Lozier (1999) (Correct)
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M. V. Berry and C. Howls. Hyperasymptotics for integrals with saddles. Proc. Roy. Soc. London Ser. A, 434:657-675, 1991.
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