Some families of hypergeometric generating functions associated with multiple series transformations

被引:0
作者
Chan, WCC
Chen, KY
Srivastava, HM [1 ]
机构
[1] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3P4, Canada
[2] Tamkang Univ, Dept Math, Tamsui 25137, Taiwan
基金
加拿大自然科学与工程研究理事会;
关键词
generating functions; series transformations; hypergeometric polynomials; (Srivastava-Daoust) generalized Lauricella function; biorthogonal polynomials; Gauss hypergeometric function; Laguerre polynomials; Bessel polynomials; Pfaff-Saalschutz theorem;
D O I
10.1016/S0096-3003(02)00390-9
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
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. (C) 2002 Elsevier Science Inc. All rights reserved.
引用
收藏
页码:27 / 59
页数:33
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