POLYLOGARITHMS AND POLY-BERNOULLI POLYNOMIALS

被引：75

作者：

Bayad, Abdelmejid ^{[1
]}

Hamahata, Yoshinori ^{[2
]}

机构：

[1] Univ Evry Val dEssone, Dept Math, F-91025 Evry, France

[2] Univ Tokyo, Grad Sch Math Sci, Tokyo 1538914, Japan

来源：

KYUSHU JOURNAL OF MATHEMATICS | 2011年 / 65卷 / 01期

基金：

日本学术振兴会;

关键词：

polylogarithms; zeta functions; poly-Bernoulli numbers; poly-Bernoulli polynomials; FORMULA;

D O I：

10.2206/kyushujm.65.15

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we investigate special generalized Bernoulli polynomials that generalize classical Bernoulli polynomials and numbers. We call them poly-Bernoulli polynomials. We prove a collection of extremely important and fundamental identities satisfied by our poly-Bernoulli polynomials and numbers. These properties are of arithmetical nature.

引用

页码：15 / 24

页数：10

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