Certain classes of multiple generating functions for some sets of polynomials in several variables

摘要

In this paper some generating functions for some sets of polynomials in several variables are established. In these classes of generating functions an arbitrary sequence of mul- tivariable functions is considered. The generating functions so derived are shown here to lead some known results of Raina, Raina and Ba jpai and Zeitlin and are capable to provide as special cases, a large number of new summation formulas and generating functions for simpler sequences, extended polynomials and generalized Lauricella functions.