GENERATING FUNCTIONS FOR HYPERGEOMETRIC POLYNOMIALS OF TWO VARIABLES Rn(β,γ,x,y)BY TRUESDELL METHOD

In this paper, the Truesdell method is utilized to derive the generating functions for the generalized hypergeometric polynomial set ( ; ; , ) R x y n   by giving suitable interpretation to the index n. Further, it is interesting to note that these generating functions can be suitably applied to yield numerous applications to various classical orthogonal polynomials of mathematical physics namely the Laguerre, Meixner, Gottlieb and Krawtchouk polynomials. Many of these applications are known but some of them are believed to be new in the theory of special functions. Mathematics Subject Classification (2010): Primary 33C10, secondary 33C45, 33C80