On Certain Transformations Involving Theta Hypergeometric Functions

Print ISSN: 2319-1023

Abstract

In this paper we attempt to establish certain interesting transforma- tions involving theta hypergeometric functions. We make use of Bailey's lemma and summation of certain truncated theta hypergeometric functions to get our re- sults. These results are the most general ones, leading to a class of transformations of basic hypergeometric functions.

Keywords and Phrases

Elliptic hypergeometric series, theta hypergeometric functions, transformations, very well-poised theta hypergeometric functions.

A.M.S. subject classification

33D15, 33D90, 11A55, 11F20, 33E05

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