Two closed forms for the Bernoulli polynomials

JOURNAL OF NUMBER THEORY

卷:159

Article

Qi, Feng^1,2,3  Chapman, Robin J.⁴ 

[1] Henan Polytech Univ, Inst Math, Jiaozuo City 454010, Henan Province, Peoples R China

[2] Inner Mongolia Univ Nationalities, Coll Math, Tongliao City 028043, Inner Mongolia, Peoples R China

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

[4] Univ Exeter, Math Res Inst, Exeter EX4 4QJ, Devon, England

关键词: Closed form;    Bernoulli polynomial;    Bernoulli number;    Stirling numbers of the second kind;    Determinant;   

DOI  :  10.1016/j.jnt.2015.07.021

来源: Elsevier

【 摘 要 】

In the paper, the authors find two closed forms involving the Stirling numbers of the second kind and in terms of a determinant of combinatorial numbers for the Bernoulli polynomials and numbers. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free