ON CERTAIN IDENTITIES INVOLVING BASIC $(q)$ HYPERGEOMETRIC SERIES

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 172

Volume : 18 , Issue : 2
DOI: 10.56827/SEAJMMS.2022.1802.5
Author :
Chandan Kumar Singh (Department of Mathematics, Tilak Dhari Post Graduate College, Jaunpur - 222002, Uttar Pradesh, INDIA)
Satya Prakash Singh (Department of Mathematics, Tilak Dhari Post Graduate College, Jaunpur - 222002, Uttar Pradesh, INDIA)
Vijay Yadav (Department of Mathematics, SPDT College, Andheri (E), Mumbai, INDIA)

Abstract

In this paper we establish certain identities by making use of Bailey's $_2\Psi_2$ transformation formula. Special cases of these identities have also been discussed.

Keywords and Phrases

Transformation formula, identity, basic bilateral hypergeometric series, summation formula.

A.M.S. subject classification

33C15, 33C20, 33D15.

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