On Transformation Formulae for theta hypergeometric functions

Print ISSN: 2319-1023 | Online ISSN: | Total Downloads : 166

Volume : 3 , Issue : 1
DOI:
Author :
Dr. Satya Prakash Singh (T.D.P.G. College, Jaunpur (U.P.) India)
Dr. Ashutosh Singh (R.H.S.P.G. College, Singramau, Jaunpur (U.P.) India)
Dhirendra Singh (R.H.S.P.G. College, Singramau, Jaunpur (U.P.) India)

Abstract

In this paper, making use of an identity and certain summation formulae for truncated theta hypergeometric series, we have established transformation formulae for finite-bilateral theta hypergeometric series.

Keywords and Phrases

Transformation formula, summation formula, theta hy- pergeometric series, bilateral theta hypergeometric series.

A.M.S. subject classification

Primary 33D15, 33D90, 11A55, secondary 11F20, 33E05.

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