Some identities involving Bernoulli and Stirling numbers.

DOI10.1006/jnth.2001.2659zbMath1051.11017OpenAlexW2043346730MaRDI QIDQ5949915

Ken-ichi Sato, Susumu Shirai

Publication date: 5 December 2001

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.2001.2659

zbMATH Keywords

Bernoulli numberdegenerate Bernoulli numberStirling number

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Factorials, binomial coefficients, combinatorial functions (05A10) Bernoulli and Euler numbers and polynomials (11B68)

Related Items (10)

Two series expansions for the logarithm of the gamma function involving Stirling numbers and containing only rational coefficients for certain arguments related to \(\pi^{-1}\) ⋮ An identity for Appell polynomials ⋮ A double inequality for the ratio of two non-zero neighbouring Bernoulli numbers ⋮ Expansions of generalized Euler's constants into the series of polynomials in \(\pi^{- 2}\) and into the formal enveloping series with rational coefficients only ⋮ Unnamed Item ⋮ Degenerate Bernoulli polynomials, generalized factorial sums, and their applications ⋮ Sums of products of the degenerate Euler numbers ⋮ Two closed forms for the Bernoulli polynomials ⋮ On sums of products of the degenerate Bernoulli numbers ⋮ On explicit formulae for Bernoulli numbers and their counterparts in positive characteristic

Cites Work

• A degenerate Staudt-Clausen theorem
• Explicit formulas for degenerate Bernoulli numbers
• Asymptotic Development of the Stirling Numbers of the First Kind
• Explicit Formulas for Bernoulli Numbers
• Lectures on P-Adic L-Functions. (AM-74)
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