APPLICATIONS OF HYPERGEOMETRIC SUMMATION THEOREMS OF KUMMER AND DIXON INVOLVING DOUBLE SERIES

被引：0

作者：

H.M.SRIVASTAVA ^{[1
]}

M.I.QURESHI ^{[2
]}

Kaleem A.QURAISHI ^{[3
]}

Ashish ARORA ^{[4
]}

机构：

[1] Department of Mathematics and Statistics,University of Victoria,Victoria,British Columbia V8W 3R4,Canada

[2] Department of Applied Sciences and Humanities,Faculty of Engineering and Technology,Jamia Millia Islamia (A Central University),New Delhi 110025,India

来源：

ActaMathematicaScientia | 2014年 / 34卷 / 03期

关键词：

Pochhammer’s symbol; Gamma function; series identities; hypergeometric reduction formulas; Srivastava-Daoust double and multiple hypergeometric functions; Legendre’s duplication formula; Gauss-Legendre multiplication formula; Kummer’s theorem; Dixon’s theorem;

D O I：

暂无

中图分类号：

O18 [几何、拓扑];

学科分类号：

0701 ; 070101 ;

摘要：

Using series iteration techniques, we derive a number of general double series identities and apply each of these identities in order to deduce several hypergeometric reduction formulas involving the Srivastava-Daoust double hypergeometric function. The results presented in this article are based essentially upon the hypergeometric summation theorems of Kummer and Dixon.

引用

页码：619 / 628

页数：10

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