On the Apostol-Bernoulli Polynomials

被引：46

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

页码：509 / 515

页数：7

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