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 Erku-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 Erkus.-Srivastava polynomials. The aim of this present paper is to obtain some bilateral generating functions involving the Erku-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 biodhogonal polynomials suggested by the Laguerre polynomials, Pacific J. Math. 117 (1985), pp. 183-191] and by Kaanoglu 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.