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JMB Journal of Microbiolog and Biotechnology

OPEN ACCESS eISSN 0454-8124
pISSN 1225-6951
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Original Article

Kyungpook Mathematical Journal 2016; 56(1): 131-136

Published online March 23, 2016

Copyright © Kyungpook Mathematical Journal.

Integral Formulas Involving a Product of Generalized Bessel Functions of the First Kind

Junesang Choi1
Dinesh Kumar2
Sunil Dutt Purohit3

Department of Mathematics, Dongguk University, Gyeongju 38066,  Republic of Korea1
Department of Mathematics and Statistics, Jai Narain Vyas University, Jodhpur-342005, India2
Department of HEAS $($Mathematics$)$, Rajasthan Technical University, Kota-324010, India3

Abstract

The main object of this paper is to present two  general integral formulas whose integrands are  the integrand given in the integral formula(3) and a finite product of the generalized Bessel function of the first kind.

Keywords: Gamma function, Hypergeometric function ${}_2F_1$, Generalized (Wright) hypergeometric functions ${}_pPsi_q$,
Generalized Bessel function of the first kind, Generalized Lauricella functions, Ramanujan Master Theorem, Garg and Mittal's integral formul