AN EXPLICIT FORMULA FOR BERNOULLI POLYNOMIALS IN TERMS OF r-STIRLING NUMBERS OF THE SECOND KIND

被引：17

作者：

Guo, Bai-Ni ^{[1
]}

Mezo, Istavan ^{[2
]}

Qi, Feng ^{[3
]}

机构：

[1] Henan Polytech Univ, Sch Math & Informat, Jiaozuo City 454010, Henan Province, Peoples R China

[2] Nanjing Univ Informat Sci & Technol, Dept Math, Nanjing 210044, Jiangsu, Peoples R China

[3] Tianjin Polytech Univ, Dept Math, Coll Sci, Tianjin 300387, Peoples R China

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2016年 / 46卷 / 06期

关键词：

Explicit formula; Bernoulli number; Bernoulli polynomial; Stirling number of the second kind; r-Stirling number of the second kind; BELL NUMBERS; IDENTITIES;

D O I：

10.1216/RMJ-2016-46-6-1919

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the authors establish an explicit formula for computing Bernoulli polynomials at nonnegative integer points in terms of r-Stirling numbers of the second kind.

引用

页码：1919 / 1923

页数：5

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