Recurrence relations of poly-Cauchy numbers by the \(r\)-Stirling transform

DOI10.1007/s00009-021-01960-wOpenAlexW4221047913MaRDI QIDQ2071297

Yanyan Li

Publication date: 27 January 2022

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.15291

zbMATH Keywords

poly-Cauchy numbersStirling transform\(r\)-Stirling numbersannihilation formulas

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Combinatorial identities, bijective combinatorics (05A19) Binomial coefficients; factorials; (q)-identities (11B65) Bernoulli and Euler numbers and polynomials (11B68) Recurrences (11B37)

Related Items (1)

Riordan arrays and \(r\)-Stirling number identities

Uses Software

• OEIS

Cites Work

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• Poly-Cauchy numbers with a \(q\) parameter
• The \(r\)-Stirling numbers
• Riordan arrays and combinatorial sums
• Explicit formulas for degenerate Bernoulli numbers
• Harmonic number identities via polynomials with \(r\)-Lah coefficients
• Recurrence formulas for poly-Bernoulli polynomials
• Poly-Cauchy polynomials
• Harmonic number identities via the Newton-Andrews method
• Shifted poly-Cauchy numbers
• Extended Bernoulli and Stirling matrices and related combinatorial identities
• Combinatorial sums and finite differences
• Generalized harmonic numbers with Riordan arrays
• POLY-CAUCHY NUMBERS
• Generalized Stirling transform
• Recursion formulas for poly-Bernoulli numbers and their applications

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