An interesting integral involving product of two generalized hypergeometric function

In this research note, an interesting integral involving hypergeometric function has been evaluated in terms of gamma function. It is further used to evaluate an integral involving product of two generalized hypergeometric functions. A few very interesting special cases have also been given

Bibliographic Details
Main Authors: Harsh Vardhan Harsh, Medhat A. Rakha, Puneet Krishna Sharma, Arjun Rathie
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2022-02-01
Series:Boletim da Sociedade Paranaense de Matemática
Online Access:https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/51949
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author Harsh Vardhan Harsh
Medhat A. Rakha
Puneet Krishna Sharma
Arjun Rathie
author_facet Harsh Vardhan Harsh
Medhat A. Rakha
Puneet Krishna Sharma
Arjun Rathie
author_sort Harsh Vardhan Harsh
collection DOAJ
description In this research note, an interesting integral involving hypergeometric function has been evaluated in terms of gamma function. It is further used to evaluate an integral involving product of two generalized hypergeometric functions. A few very interesting special cases have also been given
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language English
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spelling doaj.art-74437a248b1646efbe26b663f6cbc7d42023-11-08T19:48:55ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882022-02-014010.5269/bspm.51949An interesting integral involving product of two generalized hypergeometric functionHarsh Vardhan Harsh0Medhat A. Rakha1Puneet Krishna Sharma2Arjun Rathie3The ICFAI UniversitySuez Canal UniversityAmity University JaipurRajasthan Technical UniversityIn this research note, an interesting integral involving hypergeometric function has been evaluated in terms of gamma function. It is further used to evaluate an integral involving product of two generalized hypergeometric functions. A few very interesting special cases have also been given https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/51949
spellingShingle Harsh Vardhan Harsh
Medhat A. Rakha
Puneet Krishna Sharma
Arjun Rathie
An interesting integral involving product of two generalized hypergeometric function
Boletim da Sociedade Paranaense de Matemática
title An interesting integral involving product of two generalized hypergeometric function
title_full An interesting integral involving product of two generalized hypergeometric function
title_fullStr An interesting integral involving product of two generalized hypergeometric function
title_full_unstemmed An interesting integral involving product of two generalized hypergeometric function
title_short An interesting integral involving product of two generalized hypergeometric function
title_sort interesting integral involving product of two generalized hypergeometric function
url https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/51949
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