TRANSFORMATION FORMULAE FOR POLY-BASIC HYPERGEOMETRIC SERIES
Print ISSN: 0972-7752 | Online ISSN: | Total Downloads : 104
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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