CERTAIN NEW IDENTITIES OF BASIC BILATERAL HYPERGEOMETRIC SERIES

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 48

Volume : 20 , Issue : 1
DOI: https://doi.org/10.56827/SEAJMMS.2024.2001.33
Author :
S. Ahmad Ali (Department of Mathematics and Computer Science, Babu Banarasi Das University, Lucknow - 2260028, Uttar Pradesh, INDIA)
Saloni Kushvaha (Department of Mathematics and Computer Science, Babu Banarasi Das University, Lucknow - 2260028, Uttar Pradesh, INDIA)

Abstract

In the present work, we have applied Cauchy's method to establish some basic bilateral hypergeometric series identities, using the known identities of terminating unilateral series. We also have discussed some important special cases of our results.

Keywords and Phrases

Basic Hypergeometric Series, Basic Bilateral Hypergeometric Series, $q$-Series, Summations, Transformations, Cauchy's method.

A.M.S. subject classification

33D15.

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