On Bailey's Transform and Expansion of Hypergeometric Functions-I

Print ISSN: 0972-7752

Abstract

In this paper we introduce a new technique to obtain 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 with the help of the traditional method. Certain interesting special cases, both, new and known, 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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