Associated \(r\)-Dowling numbers and some relatives

DOI10.5802/crmath.145zbMath1459.05010OpenAlexW3135408529MaRDI QIDQ2656158

Eszter Gyimesi, Gábor Nyul

Publication date: 10 March 2021

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/crmath.145

zbMATH Keywords

\(r\)-Dowling-Lah numbersgeneralization of Bell numbers

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Partitions of sets (05A18) Bell and Stirling numbers (11B73) Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of partitions of integers (05A17)

Cites Work

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• \(r\)-Whitney numbers of Dowling lattices
• Real zeros and partitions without singleton blocks
• The \(r\)-derangement numbers
• Some polynomials associated with the \(r\)-Whitney numbers
• Classic papers in combinatorics
• Combinatorial and arithmetical properties of the restricted and associated Bell and factorial numbers
• A comprehensive study of \(r\)-Dowling polynomials
• New combinatorial interpretations of \(r\)-Whitney and \(r\)-Whitney-Lah numbers
• Restricted \(r\)-Stirling numbers and their combinatorial applications
• On colored set partitions of type \(B_n\)
• The \(r\)-Lah numbers
• Extensions of set partitions and permutations
• Acyclic orientations of graphs
• The $r$-Bell numbers
• Numbers Generated by the Reciprocal of e x - x - 1

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