Some Identities of Symmetry for the Generalized Bernoulli Numbers and Polynomials

Abstract

By the properties of $p$-adic invariant integral on ${\mathbb{Z}}_p$,we establish various identities concerning the generalized Bernoulli numbers andpolynomials. From the symmetric properties of $p$-adic invariant integral on ${\mathbb{Z}}_p$, we give some interesting relationship between the power sums and the generalized Bernoulli polynomials.