Abstract
We give some interesting relationships between the power sums and the generalized Bernoulli numbers attached to of higher order using multivariate -adic invariant integral on .
Highlights
Bn,χ x n!, 1.5 and the generalized Bernoulli numbers attached to χ, Bn,χ, are defined as Bn,χ Bn,χ 0 see 1–20, 25
The purpose of this paper is to derive some identities of symmetry for the generalized Bernoulli polynomials attached to χ of higher order
The generalized Bernoulli polynomials attached to χ of order k, which is denoted by Bnk,χ x, are defined as t d−1 i0 χ i eit edt − 1 k ext
Summary
We give some interesting relationships between the power sums and the generalized Bernoulli numbers attached to χ of higher order using multivariate p-adic invariant integral on Zp. Copyright q 2009 Taekyun Kim et al This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have