Some Implicit Summation Formulas and Symmetric Identities for the Generalized Hermite- Bernoulli Polynomials

Abstract

In this thesis, we overview a new class of generalized Hermite{ Bernoulli polynomials in two variables which studied by Dattoli et al. and we derived some implicit summation formulae and symmetric identities by applying the generating functions to generalized Hermite-Bernoulli polynomials studied by Natalini and Bernardini.Also we have discussed some known summations and symmetric identities of generalized Hermite{ Bernoulli polynomials studied by Zhang and Yang.