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


Dinesh Kumar, Frédéric Ayant, Devendra Kumar




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. \cite{KimRakhaRathie2010}. 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.