Geodesic
A New Class of Integrals Involving Generalized Hypergeometric Function and Multivariable Aleph-Function
Kragujevac Journal of Mathematics, Tome 44 (2020) no. 4, p. 539 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

Voir la notice de l'article

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. \cite{KimRakhaRathie2010}. 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.
Classification : 33C60, 33C99 44A20
Keywords: multivariable $I$-function, multivariable $H$-function, double finite integrals 
@article{KJM_2020_44_4_a4,
     author = {Dinesh Kumar and Fr\'ed\'eric Ayant and Devendra Kumar},
     title = {A {New} {Class} of {Integrals} {Involving} {Generalized} {Hypergeometric} {Function} and {Multivariable} {Aleph-Function}},
     journal = {Kragujevac Journal of Mathematics},
     pages = {539 },
     year = {2020},
     volume = {44},
     number = {4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2020_44_4_a4/}
}
TY  - JOUR
AU  - Dinesh Kumar
AU  - Frédéric Ayant
AU  - Devendra Kumar
TI  - A New Class of Integrals Involving Generalized Hypergeometric Function and Multivariable Aleph-Function
JO  - Kragujevac Journal of Mathematics
PY  - 2020
SP  - 539 
VL  - 44
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/KJM_2020_44_4_a4/
LA  - en
ID  - KJM_2020_44_4_a4
ER  - 
%0 Journal Article
%A Dinesh Kumar
%A Frédéric Ayant
%A Devendra Kumar
%T A New Class of Integrals Involving Generalized Hypergeometric Function and Multivariable Aleph-Function
%J Kragujevac Journal of Mathematics
%D 2020
%P 539 
%V 44
%N 4
%U http://geodesic.mathdoc.fr/item/KJM_2020_44_4_a4/
%G en
%F KJM_2020_44_4_a4
Dinesh Kumar; Frédéric Ayant; Devendra Kumar. A New Class of Integrals Involving Generalized Hypergeometric Function and Multivariable Aleph-Function. Kragujevac Journal of Mathematics, Tome 44 (2020) no. 4, p. 539 . http://geodesic.mathdoc.fr/item/KJM_2020_44_4_a4/