Explicit formulae for sums of products of Bernoulli polynomials,including poly-Bernoulli polynomials |
| |
| Authors: | Ken Kamano Takao Komatsu |
| |
| Affiliation: | 1. Department of Mathematics, Osaka Institute of Technology, 5-16-1, Omiya, Asahi, Osaka, 535-8585, Japan
2. Graduate School of Science and Technology, Hirosaki University, Hirosaki, 036-8561, Japan
|
| |
| Abstract: | We study sums of products of Bernoulli polynomials, including poly-Bernoulli polynomials. As a main result, for any positive integer $m$ , explicit expressions of sums of $m$ products are given. This result extends that of the first author, as well as the famous Euler formula about sums of two products of Bernoulli numbers. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
