Two identities and closed-form formulas for the Bernoulli numbers in terms of central factorial numbers of the second kind

DOI10.1515/dema-2022-0166OpenAlexW4313063481MaRDI QIDQ2100888

Lan Wu, Xue-Yan Chen, Dongkyu Lim, Feng Qi

Publication date: 25 November 2022

Published in: Demonstratio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/dema-2022-0166

zbMATH Keywords

series expansionproductBernoulli numberidentityhyperbolic cotangentclosed-form formulacotangentcosecantcentral factorial number of the second kindhyperbolic cosecant

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Bernoulli and Euler numbers and polynomials (11B68) Exponential and trigonometric functions (33B10)

Related Items

Extension of Hoffman's combinatorial identity via specific zeta-like series

Uses Software

• DLMF

Cites Work

• Connections between central factorial numbers and Bernoulli polynomials
• A double inequality for the ratio of two non-zero neighbouring Bernoulli numbers
• Logarithmic convexity and increasing property of the Bernoulli numbers and their ratios
• Central factorial numbers; their main properties and some applications.
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item