Certain Integrals Involving Multivariable General Class of Polynomial, Jacobi Polynomials and I-Function of Two Variables

The aim of this paper is to establish unified integrals that encompass a diverse set of elements, including multivariable general class of polynomials, Jacobi polynomials, and the I-function of two variables. Initially, we computed integrals involving multivariable general class of polynomials and the I-function of two variables using the Oberhettinger formula. Subsequently, we derived integrals involving Jacobi polynomials and the I-function of two variables. Due to the general nature of I-function of two variables, we also derived specific integrals involving the I-function and the H-function of one variable as special cases based on our primary findings.