On some finite integrals involving Fox’s H-function

In this paper, we evaluate four finite integrals involving the products of Jacobi polynomials, Associated Legendre functions and Fox’s H-function. Since the H-function is one of the most general functions known so far, our integrals yield various interesting integrals, on specializing the parameters of the H-function. Thus we find here the integrals involving the products of Jacobi polynomials, Associated Legendre functions and Meijer’s G-function.