A theorem concerning a product of two general classes of polynomials and the multivariable \(H\)-function (Q1386777)

A general theorem involving a product of two general polynomials and the multivariable \(H\)-function, and three subtheorems involving simpler functions have been obtained in this paper. An account of the generality of functions involved in the main theorem, a large number of similar results involving a wide variety of simpler special functions and polynomials follow as special cases of the findings of this paper. Certain integrals and an expansion formula have also been obtained as an application of the main theorem of the paper.