Some bilateral generating functions involving the Erkus-Srivastava polynomials and some general classes of multivariable polynomials

Abstract

Recently, Liu et al. [Bilateral generating functions for the Erkucs-Srivastava polynomials and the generalized Lauricella function, Appl.Math.Comput.218 (2012),pp.7685-7693 investigated some various families of bilateral generating functions involving the Erkucs Srivastava polynomials. The aim of this present paper is to obtain some bilateral generating functions involving the Erkucs-Srivastava polynomials and three general classes of multivariable polynomials introduced earlier by Srivastava in A contour integral involving Fox's H-function, Indian J.Math.14 (1972), pp.1-6, A multilinear generating function for the Konhauser sets of biorthogonal polynomials suggested by the Laguerre polynomials, Pacific J.Math.117 (1985), pp.183-191] and by Kaanouglu and Ozarslan in Two-sided generating functions for certain class of r-variable polynomials, Mathematical and Computer Modelling 54 (2011), pp.625-631. Special cases involving the (Srivastava-Daoust) generalized Lauricella functions are also given.