Certain unified integrals associated with Bessel functions

Abstract

A remarkably large number of integral formulas involving a variety of special functions have been developed by many authors. Very recently, Ali gave three interesting unified integrals involving the hypergeometric function 2F1. Using Ali's method, in this paper, we present two generalized integral formulas involving the Bessel function of the first kind Jν (z), which are expressed in terms of the generalized (Wright) hypergeometric functions. Some interesting special cases of our main results are also considered. © 2013 Choi and Agarwal.