Convolution identities for Cauchy numbers

DOI10.1007/s10474-014-0441-1zbMath1320.11020OpenAlexW2064386705MaRDI QIDQ485013

Takao Komatsu

Publication date: 8 January 2015

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-014-0441-1

zbMATH Keywords

Bernoulli numberCauchy numberconvolution identityunsigned Stirling number of the first kind

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Bell and Stirling numbers (11B73) Other combinatorial number theory (11B75)

Related Items

A higher-order convolution for Bernoulli polynomials of the second kind ⋮ Convolution identities of poly-Cauchy numbers with level 2 ⋮ Identities for Korobov-type polynomials arising from functional equations and p-adic integrals ⋮ Construction of some new families of Apostol-type numbers and polynomials via Dirichlet character and p-adic q-integrals ⋮ Analysis of Apostol-Type Numbers and Polynomials with Their Approximations and Asymptotic Behavior ⋮ Some certain classes of combinatorial numbers and polynomials attached to Dirichlet characters: their construction by \(p\)-adic integration and applications to probability distribution functions

Cites Work

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• Convolution identities and lacunary recurrences for Bernoulli numbers
• Higher-order recurrences for Bernoulli numbers
• Sums of products of Cauchy numbers
• On Miki's identity for Bernoulli numbers
• Sums of products of Bernoulli numbers
• Sums of products of Cauchy numbers, including poly-Cauchy numbers
• The Cauchy numbers
• POLY-CAUCHY NUMBERS