Some Determinantal Expressions and Recurrence Relations of the Bernoulli Polynomials

Mathematics

卷:4

Feng Qi¹  Bai-Ni Guo² 

[1] Institute of Mathematics, Henan Polytechnic University, Jiaozuo 454010, China;

[2] School of Mathematics and Informatics, Henan Polytechnic University, Jiaozuo 454010, Henan, China;

关键词: determinantal expression;    recurrence relation;    Bernoulli number;    Bernoulli polynomial;    Hessenberg determinant;   

DOI  :  10.3390/math4040065

来源: DOAJ

【 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.

【 授权许可】

Unknown