文章基本信息

标题：Some multiple Gaussian hypergeometric generalizations of Buschman-Srivastava theorem
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作者：M. I. Qureshi ; M. Sadiq Khan ; M. A. Pathan 等
期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2005
卷号：2005
DOI：10.1155/IJMMS.2005.143
出版社：Hindawi Publishing Corporation
摘要：Some generalizations of Bailey's theorem involving the product of two Kummer functions 1F1 are obtained by using Watson's theorem and Srivastava's identities. Its special cases yield various new transformations and reduction formulae involving Pathan's quadruple hypergeometric functions Fp(4), Srivastava's triple and quadruple hypergeometric functions F(3), F(4), Lauricella's quadruple hypergeometric function FA(4), Exton's multiple hypergeometric functions XE:G;HA:B;D, K10, K13, X8, (k)H2(n), (k)H4(n), Erdélyi's multiple hypergeometric function Hn,k, Khan and Pathan's triple hypergeometric function H4(P), Kampé de Fériet's double hypergeometric function FE:G;HA:B;D, Appell's double hypergeometric function of the second kind F2, and the Srivastava-Daoust function FD:E(1);E(2);…;E(n)A:B(1);B(2);…;B(n). Some known results of Buschman, Srivastava, and Bailey are obtained.