Multivariable $H$-function and general class of polynomials involving the generalized Mellin-Barnes type contour integrals

Abstract

In the present paper, we study and develop the definite integrals of Gradshteyn-Ryzhil given by Qureshi et al. [4]. The results are in general character and besides of this have been put in a compact form avoiding the occurrence of infinite series and thus making them useful in applications. Several other new and known results can also be obtained from our main theorems.