On Bailey's Transform and Expansion of Basic Hypergeometric Functions-II

Print ISSN: 0972-7752

Abstract

In a recent communication we dealt with a new technique to establish expansions of basic hypergeometric functions with the help of Bailey's transform and certain known transformations of truncated hypergeometric series. These results do not look possible directly with the help of the traditional method. This is the continuation of the above study. Certain interesting special cases have also been deduced.

Keywords and Phrases

Truncated series, terminating series, expansion of hypergeometric series/functions, Bailey's transform, bi-basic hypergeometric series.

A.M.S. subject classification

33A30, 33D15, 33D20.

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