A classical polynomial set Jn{(xm),y} of several variables

Abstract

In this paper, a classical polynomial set Jn{(xm),y} of Several Variables has been defined by means of the product of generalized hypergeometric function and Lauricella function in the notations of Burchnall and Chaundy. The classical polynomial set covers as many as forty orthogonal and non-orthogonal polynomial and have been obtained with four special cases.