The Polynomial Set Rnk{(xn), y} in terms of the Sister Celin Polynomials Cj (x1r)

              The object of this paper is systematic study of multivariable generalized hypergeometric polynomial set Rnk{(xn), y}, obtained with the help of generating function involving Lauricella function in the notation of Burchanall and Chaundy [3], where n denotes the order of the polynomial set. The polynomial happens to be generalization of as many as thirty eight orthogonal and non-orthogonal polynomial set such as Legendre, Laguerre, Bateman, Jacobi, Tchebichef, Meixner, Lahiri, Charlier, Jackson, Hermite, Sylvester, etc.

        These polynomials set are of at most important and wide application in Mathematical Physics, Bio-physics, flow through porous media, automatic computers, statistics and various other branches of science, engineering and technology.

        The newly defined polynomial set may be of immanse use in further development of the subject.