POLYLOGARITHMS AND POLY-BERNOULLI POLYNOMIALS

被引：74
|
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.
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页码：15 / 24
页数：10
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