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
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