On Functions of a Single Matrix Argument - III

Abstract

We prove some Eulerian integrals involving the hypergeometric functions of single matrix argument. The integrals studied here involve the  and the  functions of matrix argument. We apply the Mathai’s matrix transform technique to prove our results which provide a generalization of the corresponding results available in the literature for these functions for the case of scalar variables. At the end we also give the corresponding results when the argument matrices are complex Hermitian positive definite.