SOME IMPLICIT SUMMATION FORMULAS AND SYMMETRIC IDENTITIES FOR THE GENERALIZED HERMITE-EULER POLYNOMIALS

Abstract

In this paper, we introduce a new class of generalized Hermite-Euler

polynomials and derive some implicit summation formulae and symmet

ric identities by applying the generating functions. These results ex

tend some known summations and identities of generalized Hermite-Euler

polynomials studied by Dattoli et al, Natalini et al,Zhang et al, Yang and

Yang et al and Pathan.