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.
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页码：619 / 628
页数：10
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