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

被引：5

作者：

Srivastava, H. M. ^{[1
]}

Qureshi, M. I. ^{[2
]}

Quraishi, Kaleem A. ^{[3
]}

Arora, Ashish ^{[4
]}

机构：

[1] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3R4, Canada

[2] Jamia Millia Islamia, Fac Engn & Technol, Dept Appl Sci & Humanities, New Delhi 110025, India

[3] Mewat Engn Coll Wakf, Sect Math, Mewat 122107, Haryana, India

[4] Noida Inst Engn & Technol, Dept Math, Gautambuddha Nagar 201306, Uttar Pradesh, India

来源：

ACTA MATHEMATICA SCIENTIA | 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; IDENTITIES;

D O I：

10.1016/S0252-9602(14)60034-5

中图分类号：

O1 [数学];

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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