Boyd, W.G.C. (1990), Stieltjes transforms and the Stokes phenomenon, Proc. Roy. Soc. Lond. Ser. A, 429, 227--246. Home/Search Document Not in Database Summary Related Articles Check |
This paper is cited in the following contexts:
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 ....
....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, 1994, Delft University of Technology, The Netherlands N. M. Temme CWI, P.O. Box 94079, 1090 GB Amsterdam, The Netherlands e mail: nicot cwi.nl Abstract On the occasion of the conference we mention examples of Stieltjes work on asymptotics of special functions. The remaining part of the paper ....
[Article contains additional citation context not shown here]
Boyd, W.G.C. (1990), Stieltjes transforms and the Stokes phenomenon, Proc. Roy. Soc. Lond. Ser. A, 429, 227--246.
Recent Problems from Uniform Asymptotic Analysis of Integrals In.. - Temme (1998) (Correct)
....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: Work carried out under project MAS2.8 Exploratory research. Extended ....
....in a certain domain of the complex plane. For example, when f is analytic in the sector jph tj =2 and f(t) O[exp(oejtj) in that sector, for some number oe, then the asymptotic expansion in Watson s lemma holds in the sector jph zj Gamma ffi( For a proof we refer to Olver (1974, page 113) where a more general condition (ii) is assumed. When applying Watson s lemma in the theory of special functions, condition (i) often holds, since the function f(t) is, up to the factor t Gamma1 , usually an analytic function in a domain containing [0; 1) Compare the definition of the ....
[Article contains additional citation context not shown here]
W.G.C. Boyd (1990). Stieltjes transforms and the Stokes phenomenon, Proc. R. Soc. Lond., A 429, 227--246.
Online articles have much greater impact More about CiteSeer.IST Add search form to your site Submit documents Feedback
CiteSeer.IST - Copyright Penn State and NEC