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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Vydáno v:Journal of mathematics (Hidawi) Ročník 2022
Hlavní autoři: Jayarama, Prathima, Lim, Dongkyu, Rathie, Arjun Kumar
Médium: Journal Article
Jazyk:angličtina
Vydáno: Cairo Hindawi 2022
John Wiley & Sons, Inc
Wiley
Témata:
Gamma function
Mathematics
ISSN:2314-4629, 2314-4785
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Shrnutí: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