International Journal of Mathematics and Mathematical Sciences
Volume 2012 (2012), Article ID 463659, 12 pages
http://dx.doi.org/10.1155/2012/463659
Research Article

Bernoulli Basis and the Product of Several Bernoulli Polynomials

Dae San Kim1 and Taekyun Kim2

1Department of Mathematics, Sogang University, Seoul 121-742, Republic of Korea
2Division of General Education, Kwangwoon University, Seoul 139-701, Republic of Korea

Received 25 June 2012; Accepted 9 August 2012

Academic Editor: Yilmaz Simsek

Copyright © 2012 Dae San Kim and Taekyun Kim. 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.

Abstract

We develop methods for computing the product of several Bernoulli and Euler polynomials by using Bernoulli basis for the vector space of polynomials of degree less than or equal to 𝑛 .