Some families of generating functions for the extended Srivastava polynomials

Abstract

Almost four decades ago, H. M. Srivastava considered a general family of univariate polynomials, the Srivastava polynomials, and initiated a systematic investigation for this family [10]. In 2001, B. Gonzalez, J. Matera and H. M. Srivastava extended the Srivastava polynomials by inserting one more parameter [4]. In this study we obtain a family of linear generating functions for these extended polynomials. Some illustrative results including Jacobi, Laguerre and Bessel polynomials are also presented. Furthermore, mixed multilateral and multilinear generating functions are derived for these polynomials. (C) 2011 Elsevier Inc. All rights reserved.