Some families of hypergeometric generating functions associated with multiple series transformations

機構典藏 > College of Sciences > Graduate Institute & Department of Mathematics > Journal Article > Item 987654321/41483

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Title:	Some families of hypergeometric generating functions associated with multiple series transformations
Authors:	張慧京;Chan, Whei-Ching C.;陳功宇;Chen, Kung-yu;Srivastava, H. M.
Contributors:	淡江大學數學學系
Keywords:	Generating functions;Series transformations;Hypergeometric polynomials;(Srivastava–Daoust) generalized Lauricella function;Biorthogonal polynomials;Gauss hypergeometric function;Laguerre polynomials;Bessel polynomials;Pfaff–Saalschütz theorem
Date:	2003-01-01
Issue Date:	2010-01-28 07:40:26 (UTC+8)
Publisher:	Elsevier
Abstract:	A simple multiple-series identity is applied here with a view to deriving, in a systematic and unified manner, numerous families of generating functions for certain interesting classes of generalized hypergeometric polynomials in one, two, and more variables. Relevant connections of many of these families of generating functions with various known results on this subject are also discussed. The use of double-, triple-, and multiple-series analogues of the familiar Bailey transform, which were invoked in many of the earlier works cited here, is completely avoided in this investigation.
Relation:	Applied Mathematics and Computation 144(1), pp.27-59
DOI:	10.1016/S0096-3003(02)00390-9
Appears in Collections:	[Graduate Institute & Department of Mathematics] Journal Article

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