Uniform asymptotic formulae for the spheroidal radial function

This work deals with the problem of the calculation of the radial spheroidal functions. A solution is obtained using uniform asymptotic formulae along with semiclassic methods. The present uniform asymptotic method is based on Olver's theory (Asymptotics and Special Functions, Academic Press, N...

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Bibliographic Details
Published in:	Journal of quantitative spectroscopy & radiative transfer Vol. 79; pp. 973 - 981
Main Authors:	de Moraes, P.C.G, Guimarães, L.G
Format:	Journal Article
Language:	English
Published:	Elsevier Ltd 01-06-2003
Subjects:	Asymptotic expansion Olver's theory Spheroidal radial function Asymptotic expansion Olver's theory Spheroidal radial function
Online Access:	Get full text
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Summary:	This work deals with the problem of the calculation of the radial spheroidal functions. A solution is obtained using uniform asymptotic formulae along with semiclassic methods. The present uniform asymptotic method is based on Olver's theory (Asymptotics and Special Functions, Academic Press, New York, 1974) to asymptotic solutions of the differential equations. Here we show that it is possible to accurately interpolate the spheroidal radial function in the real plane using Airy's functions.
Bibliography:	ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23
ISSN:	0022-4073 1879-1352
DOI:	10.1016/S0022-4073(02)00332-1