A simple proof of convolution identities of Bernoulli numbers

被引：1

作者：

Yamashita, Go ^{[1
]}

机构：

[1] Kyoto Univ, Math Sci Res Inst, Kyoto 6068502, Japan

来源：

PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES | 2015年 / 91卷 / 01期

关键词：

Bernoulli numbers; convolution identity; generating function;

D O I：

10.3792/pjaa.91.5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

T. Agoh and K. Dilcher proved convolution identities of Bernoulli numbers in 2007. Their proof was complicated calculations in more than 10 pages, which were based on the relation between the Stirling numbers of second kind and the Bernoulli numbers. In this short paper, we give a simple proof of it. Essentially, the proof is based on just one formula on a new kind of generating function.

引用

页码：5 / 6

页数：2