Dirichlet series and series with Stirling numbers

被引：1

作者：

Boyadzhiev, Khristo ^{[1
]}

机构：

[1] Ohio Northern Univ, Dept Math, Ada, OH 45810 USA

来源：

CUBO-A MATHEMATICAL JOURNAL | 2023年 / 25卷 / 01期

关键词：

and Phrases; Series identities; Stirling numbers of the first kind; harmonic numbers; hyperharmonic numbers; Cauchy numbers; derangement numbers; Catalan numbers; central binomial coefficients;

D O I：

10.56754/0719-0646.2501.103

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper presents a number of identities for Dirichlet se-ries and series with Stirling numbers of the first kind. As coefficients for the Dirichlet series we use Cauchy numbers of the first and second kinds, hyperharmonic numbers, de-rangement numbers, binomial coefficients, central binomial coefficients, and Catalan numbers.

引用

页码：103 / 119

页数：17

共 17 条

[1] On Stirling numbers and Euler sums [J].