• nth FINITE INTEGRALS INVOLVING PRODUCT OF MULTIVARIABLE JACOBI POLYNOMIAL AND H-FUNCTION OF SEVERAL VARIABLES

Abstract

In the present paper few finite integrals involving products of multivariable Jacobi polynomial and H function of several variables of generalized arguments have been evaluated. These integrals have been utilized to established the expansion formula for H[Z₁, Z₂…,Z_r] function in series involving product of multivariable Jacobi polynomials since H function of multivariable quite general function in nature. On specializing the parameters of the function involved in results many new as well as known relations may be obtained as particular case.