Contribution for the Summation Formulas for the Generalized Hypergeometric Series F65−1

In this paper, our aim is to provide as many as one hundred and ninety-two summation formulas for the generalized hypergeometric series F65−1 in terms of gamma functions. For this, we have established eight theorems containing general results. This is achieved by means of applying generalized Watson...

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Bibliographic Details
Published in:Journal of mathematics (Hidawi) Vol. 2022
Main Authors: Jayarama, Prathima, Lim, Dongkyu, Rathie, Arjun Kumar
Format: Journal Article
Language:English
Published: Cairo Hindawi 2022
John Wiley & Sons, Inc
Wiley
Subjects:
Gamma function
Mathematics
ISSN:2314-4629, 2314-4785
Online Access:Get full text
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Summary:In this paper, our aim is to provide as many as one hundred and ninety-two summation formulas for the generalized hypergeometric series F65−1 in terms of gamma functions. For this, we have established eight theorems containing general results. This is achieved by means of applying generalized Watson’s and Dixon’s summation formulas obtained earlier by Lavoie et al. into a known transformation formula available in the literature. Results obtained earlier by Zhao follows special cases of our main findings.
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ISSN:2314-4629
2314-4785
DOI:10.1155/2022/2788208