Bilateral generating functions for the Chan–Chyan–Srivastava polynomials and the generalized Lauricella functions

Abstract

In some recent investigations involving differential operators for generalized Lagrange polynomials, Chan et al. [The Lagrange polynomials in several variables, Integral Transforms Spec. Funct. 12 (2001), pp. 139–148] encountered and proved a certain summation identity for the Lagrange polynomials in several variables, which are popularly known as the Chan–Chyan–Srivastava polynomials. In the present paper, we investigate several families of bilateral generating functions for the Chan–Chyan–Srivastava polynomials and the (Srivastava–Daoust) generalized Lauricella functions.