Explicit formulae for sums of products of Bernoulli polynomials, including poly-Bernoulli polynomials

被引：0

作者：

Kamano, Ken ^{[1
]}

Komatsu, Takao ^{[2
]}

机构：

[1] Osaka Inst Technol, Dept Math, Asahi, Osaka 5358585, Japan

[2] Hirosaki Univ, Grad Sch Sci & Technol, Hirosaki, Aomori 0368561, Japan

来源：

RAMANUJAN JOURNAL | 2014年 / 33卷 / 02期

基金：

日本学术振兴会;

关键词：

Poly-Bernoulli numbers; Sums of products;

D O I：

10.1007/s11139-013-9509-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study sums of products of Bernoulli polynomials, including poly-Bernoulli polynomials. As a main result, for any positive integer , explicit expressions of sums of 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.

引用

页码：301 / 313

页数：13

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