A New Class of Integrals Involving Generalized Hypergeometric Function and Multivariable Aleph-Function

The aim of this paper is to evaluate an interesting integral involving generalized hypergeometric function and the multivariable Aleph-function. The integral is evaluated with the help of an integral involving generalized hypergeometric function obtained recently by Kim et al. [?]. The integral is f...

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Published inKragujevac Journal of Mathematics Vol. 44; no. 4; pp. 539 - 550
Main Authors KUMAR, DINESH, AYANT, FRÉDÉRIC, KUMAR, DEVENDRA
Format Journal Article
LanguageEnglish
Published 01.01.2020
Online AccessGet full text
ISSN1450-9628
2406-3045
2406-3045
DOI10.46793/KgJMat2004.539K

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Abstract The aim of this paper is to evaluate an interesting integral involving generalized hypergeometric function and the multivariable Aleph-function. The integral is evaluated with the help of an integral involving generalized hypergeometric function obtained recently by Kim et al. [?]. The integral is further used to evaluate an interesting summation formula concerning the multivariable Aleph-function. A few interesting special cases and corollaries have also been discussed.
AbstractList The aim of this paper is to evaluate an interesting integral involving generalized hypergeometric function and the multivariable Aleph-function. The integral is evaluated with the help of an integral involving generalized hypergeometric function obtained recently by Kim et al. [?]. The integral is further used to evaluate an interesting summation formula concerning the multivariable Aleph-function. A few interesting special cases and corollaries have also been discussed.
Author AYANT, FRÉDÉRIC
KUMAR, DINESH
KUMAR, DEVENDRA
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  organization: Department of Mathematics, University of Rajasthan
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10.4134/ckms.2016.31.1.115
10.22436/jnsa.009.01.02
10.1155/2014/931395
10.2478/jamsi-2014-0005
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Title A New Class of Integrals Involving Generalized Hypergeometric Function and Multivariable Aleph-Function
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