CERTAIN NEW IDENTITIES OF BASIC BILATERAL HYPERGEOMETRIC SERIES

S. Ahmad Ali; Saloni Kushvaha

doi:https://doi.org/10.56827/SEAJMMS.2024.2001.33

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

Volume 20, Issue 1 Pages 431-444 April 30, 2024 142 downloads

Article overview

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 SeriesBasic Bilateral Hypergeometric Series$q$-SeriesSummationsTransformationsCauchy's method.

AMS Subject Classification

33D15.

Reference information

How to Cite

S. Ahmad Ali, Saloni Kushvaha (2024). CERTAIN NEW IDENTITIES OF BASIC BILATERAL HYPERGEOMETRIC SERIES. South East Asian Journal of Mathematics and Mathematical Sciences, 20(1), 431-444.

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