Some Determinantal Expressions and Recurrence Relations of the Bernoulli Polynomials

被引：20

作者：

Qi, Feng ^{[1
,2
,3
]}

Guo, Bai-Ni ^{[4
]}

机构：

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

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

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

[4] Henan Polytech Univ, Sch Math & Informat, Jiaozuo 454010, Henan, Peoples R China

来源：

MATHEMATICS | 2016年 / 4卷 / 04期

关键词：

determinantal expression; recurrence relation; Bernoulli number; Bernoulli polynomial; Hessenberg determinant;

D O I：

10.3390/math4040065

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the paper, the authors recall some known determinantal expressions in terms of the Hessenberg determinants for the Bernoulli numbers and polynomials, find alternative determinantal expressions in terms of the Hessenberg determinants for the Bernoulli numbers and polynomials, and present several new recurrence relations for the Bernoulli numbers and polynomials.

引用

页数：11

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