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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Abstract 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.
AbstractList 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.
Author Rathie, Arjun Kumar
Jayarama, Prathima
Lim, Dongkyu
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  givenname: Dongkyu
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  surname: Lim
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  organization: Department of Mathematics EducationAndong National UniversityAndong 36729Republic of Koreaandong.ac.kr
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  organization: Department of MathematicsVedant College of Engineering and Technolog(Rajasthan Technical University)Bundi-323021RajasthanIndia
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Copyright Copyright © 2022 Prathima Jayarama et al.
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Snippet 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...
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Title Contribution for the Summation Formulas for the Generalized Hypergeometric Series F65−1
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