Bilateral generating functions for the Lagrange polynomials and the Lauricella functions

Abstract

In some recent investigations involving differential operators for generalized Lagrange polynomials, Chan et al. [W.-Ch.C. 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. The present paper introduces some bilateral generating functions for the Lagrange polynomials with multiple variables and the Lauricella functions.