Dirichlet series and series with Stirling numbers

This paper presents a number of identities for Dirichlet series 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, derangement numbers, binomial coefficients, central binomial coeffi...

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Bibliographic Details
Published in:Cubo
Main Author: Khristo Boyadzhiev
Format: Article
Language:English
Published: Universidad de La Frontera 2023-04-01
Subjects:
series identities
stirling numbers of the first kind
harmonic numbers
hyperharmonic numbers
cauchy numbers
derangement numbers
catalan numbers
central binomial coefficients
Online Access:https://cubo.ufro.cl/ojs/index.php/cubo/article/view/3336/2279
Description
Summary:This paper presents a number of identities for Dirichlet series 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, derangement numbers, binomial coefficients, central binomial coefficients, and Catalan numbers.
ISSN:0716-7776
0719-0646

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