Poly-Cauchy numbers with a \(q\) parameter

DOI10.1007/s11139-012-9452-0zbMath1270.05010OpenAlexW2163316880MaRDI QIDQ360448

Takao Komatsu

Publication date: 27 August 2013

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-012-9452-0

zbMATH Keywords

poly-Bernoulli numberspoly-Cauchy numbersCauchy numbers

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Bernoulli and Euler numbers and polynomials (11B68) Other combinatorial number theory (11B75)

Related Items

Degenerate poly-Cauchy polynomials with a \(q\) parameter ⋮ Incomplete poly-Cauchy numbers ⋮ Poly-Bernoulli numbers and polynomials with a \(q\) parameter ⋮ 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 ⋮ \(q\)-poly-Bernoulli numbers and \(q\)-poly-Cauchy numbers with a parameter by Jackson's integrals ⋮ Generalizations of poly-Bernoulli and poly-Cauchy numbers ⋮ Generalized incomplete poly-Bernoulli polynomials and generalized incomplete poly-Cauchy polynomials ⋮ Convolution identities of poly-Cauchy numbers with level 2 ⋮ On \(s\)-Stirling transform and poly-Cauchy numbers of the second kind with level 2 ⋮ A \((p, q)\)-analog of poly-Euler polynomials and some related polynomials ⋮ Poly-Cauchy numbers with level 2 ⋮ 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 ⋮ Multi-poly-Bernoulli numbers and polynomials with a \(q\) parameter ⋮ Several explicit formulae of Cauchy polynomials in terms of \(r\)-Stirling numbers ⋮ Poly-Cauchy numbers and polynomials of the second kind with umbral calculus viewpoint ⋮ Shifted poly-Cauchy numbers ⋮ A generalization of poly-Cauchy numbers and their properties ⋮ Recurrence relations of poly-Cauchy numbers by the \(r\)-Stirling transform ⋮ The log-convexity of the poly-Cauchy numbers

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