TRANSFORMATION FORMULAE FOR POLY-BASIC HYPERGEOMETRIC SERIES

Print ISSN: 0972-7752 | Online ISSN: | Total Downloads : 87

Volume : 12 , Issue : 1
DOI:
Author :
Sunil Singh (Department of Mathematics Sydenham College of Commerce and Economics, Mumbai India)
Satya Prakash Singh (Department of Mathematics, T.D.P.G. College, Jaunpur-222002 (U.P.) India)

Abstract

In this paper, an identity has been established by making use of Bailey's transform. Using certain known summation formulae and the identity established herein, interesting transformation formulae for poly-basic hypergeometric series have been established.

Keywords and Phrases

Identity, Bailey transform, summation formula, transformation formula, basic hypergeometric series, poly-basic hypergeometric series.

A.M.S. subject classification

Primary 33D15, 33D90, 11A55; Secondary 11F20, 33F05.

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