Research Article

On some new Gaussian hypergeometric summation formulae with applications

Published in: Quaestiones Mathematicae
Volume 44 , issue 5 , 2021 , pages: 669–677

DOI: 10.2989/16073606.2020.1741472

Author(s): Insuk Kim , Republic of Korea , T.K. Pogány , Hungary , Arjun K. Rathie , India

Keywords: Primary: 33B10 , 33C05 , Secondary: 33C65 , Primary: 33B10 , 33C05 , Secondary: 33C65

Abstract

The aim of this note is to provide some new Gaussian hypergeometric summation formulae. These are further used to obtain certain new expressions for the product of hypergeometric series. Already obtained results by Bailey, Choi and Rathie and Qureshi et al. follow special cases of our main findings.

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