Some new identities for the Apostol-Bernoulli polynomials and the Apostol-Genocchi polynomials

Abstract

In this paper, we present a further investigation for the Apostol-Bernoulh polynomials and the Apostol-Genocchi polynomials. By making use of the generating function methods and summation transform techniques, we establish some new identities involving the products of the Apostol-Bernoulli polynomials and the Apostol-Genocchi polynomials. Many of the results presented here are the corresponding generalizations of some known formulas on the classical Bernoulli polynomials and the classical Genocchi polynomials. (C) 2015 Elsevier Inc. All rights reserved