ON CERTAIN PRODUCT FORMULAS FOR BASIC HYPERGEOMETRIC FUNCTIONS

Print ISSN: 0972-7752 | Online ISSN: | Total Downloads : 115

Volume : 13 , Issue : 2
DOI:
Author :
Satya Prakash Singh (Department of Mathematics, Tilak Dhari Post Graduate College, Jaunpur-222002 (U.P.), INDIA)
S N Singh (Department of Mathematics, Tilak Dhari Post Graduate College, Jaunpur-222002 (U.P.), INDIA)
Vijay Yadav (Department of Mathematics & Statistics, S.P.D.T. College, Andheri (E), Mumbai-400059, Maharashtra, INDIA)

Abstract

In this paper, making use of certain known summation formulas and modi ed Bailey transform, we have established product formulas for basic hypergeometric functions.

Keywords and Phrases

Summation formula, transformation formula, product formulas, basic hypergeometric function, Bailey transform.

A.M.S. subject classification

Primary 11A55, 33D90, Secondary 11F20, 33F06.

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