Power series expansions for spheroidal wave functions with small arguments

Kokkorakis, GC; Roumeliotis, JA

dc.contributor.author	Kokkorakis, GC	en
dc.contributor.author	Roumeliotis, JA	en
dc.date.accessioned	2014-03-01T01:18:14Z
dc.date.available	2014-03-01T01:18:14Z
dc.date.issued	2002	en
dc.identifier.issn	0377-0427	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/14879
dc.subject	Power Series Expansion	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	Functions	en
dc.subject.other	Integral equations	en
dc.subject.other	Power series expansions	en
dc.subject.other	Computational methods	en
dc.subject.other	mathematical analysis	en
dc.title	Power series expansions for spheroidal wave functions with small arguments	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0377-0427(01)00387-9	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0377-0427(01)00387-9	en
heal.language	English	en
heal.publicationDate	2002	en
heal.abstract	Power series expansions for the angular spheroidal wave functions of the first kind S-mn(c, eta), with small arguments c, are derived for general integer values of m and n. The various evaluated expansion coefficients can also be used in the calculation of the corresponding angular functions of the second kind, as well as for the radial functions of any kind. Only the prolate functions are considered explicitly, but corresponding formulas for the oblate ones are obtained immediately. (C) 2002 Elsevier Science B.V. All rights reserved.	en
heal.publisher	ELSEVIER SCIENCE BV	en
heal.journalName	Journal of Computational and Applied Mathematics	en
dc.identifier.doi	10.1016/S0377-0427(01)00387-9	en
dc.identifier.isi	ISI:000173250200007	en
dc.identifier.volume	139	en
dc.identifier.issue	1	en
dc.identifier.spage	95	en
dc.identifier.epage	127	en