On Certain Transformations of Bilateral Basic Hypergeometric Series

被引：0

作者：

Ali, S. Ahmad ^{[1
]}

Rizvi, S. Nadeem Hasan ^{[1
]}

机构：

[1] Babu Banarasi Das Univ, Dept Math, Lucknow 226028, Uttar Pradesh, India

来源：

JOURNAL OF ADVANCED MATHEMATICS AND APPLICATIONS | 2016年 / 5卷 / 01期

关键词：

Basic Hypergeometric Series; Bilateral Basic Hypergeometric Series and Cauchy's Method;

D O I：

10.1166/jama.2016.1088

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The method of Cauchy in second proof of Jacobi's triple product identity has been used here to discover the bilateral extension of some known unilateral basic hypergeometric series identities. We also have deduced a number of summations and transformations formulae from our new basic bilateral hypergeometric series transformation which are believed to be new.

引用

页码：26 / 30

页数：5

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