Two identities and closed-form formulas for the Bernoulli numbers in terms of central factorial numbers of the second kind
type: Item
instance of: scholarly article
title: Two identities and closed-form formulas for the Bernoulli numbers in terms of central factorial numbers of the second kind
author: Xue-Yan Chen
author: Lan Wu
author: Dongkyu Lim
author: Feng Qi
published in: Demonstratio Mathematica
publication date: 2022-11-25T00:00:00Z
Mathematics Subject Classification ID: 11B68
Mathematics Subject Classification ID: 11B73
Mathematics Subject Classification ID: 33B10
zbMATH DE Number: 7623550
zbMATH Keywords: Bernoulli number
zbMATH Keywords: identity
zbMATH Keywords: product
zbMATH Keywords: cosecant
zbMATH Keywords: cotangent
zbMATH Keywords: hyperbolic cosecant
zbMATH Keywords: hyperbolic cotangent
zbMATH Keywords: series expansion
zbMATH Keywords: central factorial number of the second kind
zbMATH Keywords: closed-form formula
MaRDI profile type: Publication
full work available at URL: dema-2022-0166
OpenAlex ID: W4313063481
cites work: Q4880419
cites work: A double inequality for the ratio of two non-zero neighbouring Bernoulli numbers
cites work: Logarithmic convexity and increasing property of the Bernoulli numbers and their ratios
cites work: Central factorial numbers; their main properties and some applications.
cites work: Connections between central factorial numbers and Bernoulli polynomials
cites work: Table of integrals, series, and products. Translated from the Russian. Translation edited and with a preface by Victor Moll and Daniel Zwillinger
cites work: Q3331506
cites work: Q3579593
DOI: 10.1515/DEMA-2022-0166
describes a project that uses: Digital Library of Mathematical Functions
description: scientific article; zbMATH DE number 7623550