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 symmetric identities by applying the generating functions. These results extend 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