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Research Article

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

C
Chandan Kumar Singh Department of Mathematics, Tilak Dhari Post Graduate College, Jaunpur - 222002, Uttar Pradesh, INDIA
S
Satya Prakash Singh Department of Mathematics, Tilak Dhari Post Graduate College, Jaunpur - 222002, Uttar Pradesh, INDIA
V
Vijay Yadav Department of Mathematics, SPDT College, Andheri (E), Mumbai, INDIA
Volume 18, Issue 2 Pages 53-64 August 30, 2022 329 downloads
Article overview

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 formulaidentitybasic bilateral hypergeometric seriessummation formula.

AMS Subject Classification

33C15, 33C20, 33D15.

Reference information

How to Cite

Chandan Kumar Singh, Satya Prakash Singh, Vijay Yadav (2022). ON CERTAIN IDENTITIES INVOLVING BASIC $(q)$ HYPERGEOMETRIC SERIES. South East Asian Journal of Mathematics and Mathematical Sciences, 18(2), 53-64.
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