On restricted \(r\)-Stirling numbers, also known as \(r\)-Bessel numbers

zbMATH Open1548.11054MaRDI QIDQ6562420

Gábor Nyul, Timea Arnóczki

Publication date: 26 June 2024

Published in: The Australasian Journal of Combinatorics (Search for Journal in Brave)

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial aspects of partitions of integers (05A17)

Cites Work

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• Generalized Bessel numbers and some combinatorial settings
• A new formula for the Bernoulli polynomials
• Bessel polynomials
• The \(r\)-Stirling numbers
• Combinatorial proofs of inverse relations and log-concavity for Bessel numbers
• Matching theory
• Generalized poly-Cauchy and poly-Bernoulli numbers by using incomplete \(r\)-Stirling numbers
• New combinatorial interpretations of \(r\)-Whitney and \(r\)-Whitney-Lah numbers
• On the unimodality and combinatorics of Bessel numbers
• On the connection between Stirling numbers and Bessel numbers
• The \(r\)-Lah numbers
• The \(p\)-Stirling numbers
• Restricted Partitions of Finite Sets
• Matchings in complete bipartite graphs and the $r$-Lah numbers
• A New Class of Orthogonal Polynomials: The Bessel Polynomials

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