A New Class of Integrals Involving Generalized Hypergeometric Function and Multivariable Aleph-Function-Reference-Cited by-同舟云学术

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

Published:2020-12 Issue:4 Volume:44 Page:539-550
ISSN:2406-3045
Container-title:Kragujevac Journal of Mathematics
language:en
Short-container-title:KgJMat

Author:

KUMAR DINESH¹,AYANT FRÉDÉRIC²,KUMAR DEVENDRA³

Affiliation:

1. College of Agriculture, Sumerpur- Pali, Agriculture University of Jodhpur

2. Collége Jean L’herminier

3. Department of Mathematics, University of Rajasthan

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.

Publisher

University Library in Kragujevac

Subject

General Mathematics

Reference27 articles.

1. F. Ayant, An integral associated with the aleph-functions of several variables, International Journal of Mathematics Trends and Technology 31 (2016), 142–154.

2. F. Ayant and D. Kumar, Certain ﬁnite double integrals involving the hypergeometric function and aleph-function, International Journal of Mathematics Trends and Technology 35 (2016), 49–55.

3. J. Choi, J. Daiya, D. Kumar and R. Saxena, Fractional diﬀerentiation of the product of appell function F3 and multivariable H-function, Commun. Korean Math. Soc. 31 (2016), 115–129.

4. J. Daiya, J. Ram and D. Kumar, The multivariable H-function and the general class of srivastava polynomials involving the generalized mellin-barnes contour integrals, Filomat 30 (2016), 1457–1464.

5. C. Fox, The G and H-functions as symmetrical fourier kernels, Trans. Amer. Math. Soc. 98 (1961), 395–429.

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