Explicit formulae for Bernoulli numbers

被引：0

作者：

Li, Nadia N. ^{[1
]}

Chu, Wenchang ^{[2
]}

机构：

[1] Zhoukou Normal Univ, Sch Math & Stat, Zhoukou 466001, Peoples R China

[2] Via Dalmazio Birago 9-E, I-73100 Lecce, Italy

来源：

AIMS MATHEMATICS | 2024年 / 9卷 / 10期

关键词：

Bernoulli number; harmonic number; Stirling number of the second kind; binomial coefficient; connection coefficient; IDENTITIES INVOLVING BERNOULLI; GENERALIZED BERNOULLI; RECURRENCE FORMULA; EULER;

D O I：

10.3934/math.20241366

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By examining the connection coefficients, we systematically review and extend (with an extra integer parameter) several double sum expressions for the Bernoulli numbers. New summation formulae are also established explicitly.

引用

页码：28170 / 28194

页数：25

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