Certain unified integrals associated with Bessel functions
1 Department of Mathematics, Dongguk University, Gyeongju, Korea
2 Department of Mathematics, Anand International College of Engineering, Jaipur, 303012, India
Boundary Value Problems 2013, 2013:95 doi:10.1186/1687-2770-2013-95Published: 18 April 2013
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 . Using Ali’s method, in this paper, we present two generalized integral formulas involving the Bessel function of the first kind , which are expressed in terms of the generalized (Wright) hypergeometric functions. Some interesting special cases of our main results are also considered.
MSC: 33B20, 33C20, 33B15, 33C05.