On the Apostol-Bernoulli Polynomials

被引：44
|
作者：
Luo, Qiu-Ming [1 ]
机构：
[1] Jiaozuo Univ, Dept Math, Jiaozuo City 454003, Henan, Peoples R China
来源：
CENTRAL EUROPEAN JOURNAL OF MATHEMATICS | 2004年 / 2卷 / 04期
关键词：
Bernoulli numbers; Bernoulli polynomials; Apostol-Bernoulli numbers; Apostol-Bernoulli polynomials; Gaussian hypergeometric functions; Stirling numbers of the second kind; Hurwitz Zeta functions; Lerch functional equation;
D O I：
10.2478/BF02475959
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the present paper, we obtain two new formulas of the Apostol-Bernoulli polynomials (see On the Lerch Zeta function. Pacific J. Math., 1 (1951), 161-167.), using the Gaussian hypergeometric functions and Hurwitz Zeta functions respectively, and give certain special cases and applications. (C) Central European Science Journals. All rights reserved.
引用
收藏
页码：509 / 515
页数：7
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