Convolution identities of poly-Cauchy numbers with level 2

DOI10.4171/RSMUP/106MaRDI QIDQ2697601

Yanyan Li

Publication date: 12 April 2023

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.12926

zbMATH Keywords

hyperbolic functionsconvolutionspoly-Cauchy numbersStirling numbers of the first kindinverse hyperbolic functions

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Recurrences (11B37) Other combinatorial number theory (11B75) Continued fractions (11A55) Sequences (mod (m)) (11B50) Matrices, determinants in number theory (11C20)

Uses Software

• OEIS

Cites Work

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• Poly-Cauchy numbers with a \(q\) parameter
• Convolution identities for Cauchy numbers
• Combinatorial interpretations of the Jacobi-Stirling numbers
• Sums of products of Cauchy numbers
• Poly-Bernoulli numbers
• A combinatorial approach to the generalized central factorial numbers
• POLY-CAUCHY NUMBERS
• Central factorial numbers; their main properties and some applications.
• A Combinatorial Approach to the Stirling Numbers of the First Kind with Higher Level
• CONVOLUTION IDENTITIES FOR CAUCHY NUMBERS OF THE SECOND KIND