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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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
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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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  givenname: Arjun Kumar
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  organization: Department of MathematicsVedant College of Engineering and Technolog(Rajasthan Technical University)Bundi-323021RajasthanIndia
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ContentType Journal Article
Copyright Copyright © 2022 Prathima Jayarama et al.
Copyright © 2022 Prathima Jayarama et al. This is an open access article distributed under the Creative Commons Attribution License (the “License”), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. https://creativecommons.org/licenses/by/4.0
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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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