THE SYMMETRIC BAILEY FRAMEWORK FOR KARLSSON-MINTON TO q-BASIC BILATERAL SERIES

Authors:

Rekha Rani,A. K. Shrivastav,Harwinder Kaur,Sonia Bajaj,

DOI NO:

https://doi.org/10.26782/jmcms.2026.10.00003

Keywords:

Bailey's transform,Karlsson-Minton summation formula,q-basic hypergeometric series.,

Abstract

This article is devoted to deriving certain transformation identities in the theory of q-basic series and q-basic bilateral series. First, we use the symmetric Bailey transform and the Karlsson–Minton summation identity to establish several transformation identities. In the second part, we derive several useful special cases of these transformations. These findings unify and generalize existing results, extending the known results on series and transformation formulas.

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