A Class of Definite Integrals Involving Generalized Hypergeometric Functions


Prathima Jayarama, Arjun Kumar Rathie




Recently Masjed-Jamei and Koepf obtained generalizations of various classical summation theorems for the $_2F_1$, $_3F_2$, $_4F_3$, $_5F_4$ and $_6F_5$ generalized hypergeometric series. We evaluate a new class of integrals involving generalized hypergeometric function by employing the results given by Masjed-Jamei and Koepf and MacRobert integral, and we give several special cases.