Incomplete poly-Cauchy numbers

DOI10.1007/s00605-015-0810-zzbMath1352.11029OpenAlexW2235999448MaRDI QIDQ293066

Takao Komatsu

Publication date: 9 June 2016

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-015-0810-z

zbMATH Keywords

associated poly-Cauchy numbersassociated Stirling numberspoly-Cauchy numbersrestricted poly-Cauchy numbersrestricted Stirling numbers

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Bell and Stirling numbers (11B73) Combinatorial identities, bijective combinatorics (05A19) Other combinatorial number theory (11B75)

Related Items

On hypergeometric Cauchy numbers of higher grade, Poly-Cauchy numbers with a \(q\) parameter, Unnamed Item, Leaping Cauchy numbers, Incomplete poly-Bernoulli numbers and incomplete poly-Cauchy numbers associated to the \(q\)-Hurwitz-Lerch zeta function, Generalized poly-Cauchy and poly-Bernoulli numbers by using incomplete \(r\)-Stirling numbers, Poly-Cauchy numbers of the second kind - the combinatorics behind, Generalized incomplete poly-Bernoulli polynomials and generalized incomplete poly-Cauchy polynomials, A polynomial generalization of some associated sequences related to set partitions, Generalized Stirling numbers with poly-Bernoulli and poly-Cauchy numbers, Hypergeometric Cauchy numbers and polynomials, Generalized incomplete poly-{B}ernoulli and poly-{C}auchy numbers, Restricted \(r\)-Stirling numbers and their combinatorial applications, Several continued fraction expansions of generalized Cauchy numbers, Shifted Cauchy numbers, Cameron's operator in terms of determinants and hypergeometric numbers

Cites Work

• Unnamed Item
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• Poly-Cauchy numbers with a \(q\) parameter
• Arakawa-Kaneko \(L\)-functions and generalized poly-Bernoulli polynomials
• On generalized poly-Bernoulli numbers and related \(L\)-functions
• Poly-Bernoulli numbers
• A generalization of poly-Cauchy numbers and their properties
• Poly-Cauchy polynomials
• Shifted poly-Cauchy numbers
• Incomplete Cauchy numbers
• The Cauchy numbers
• POLY-CAUCHY NUMBERS
• POLYLOGARITHMS AND POLY-BERNOULLI POLYNOMIALS
• HYPERGEOMETRIC CAUCHY NUMBERS
• Incomplete poly-Bernoulli numbers associated with incomplete Stirling numbers
• Periodicity of the last digits of some combinatorial sequences
• The Arakawa-Kaneko zeta function