The deranged Bell numbers

DOI10.1515/ms-2023-0062zbMath1528.11014arXiv2102.00139OpenAlexW4385578123MaRDI QIDQ6175357

Hacène Belbachir, László Németh, Yahia Djemmada

Publication date: 18 August 2023

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.00139

zbMATH Keywords

Stirling numbersBell numbersderangementsordered set partitionsordered Bell numbers

Mathematics Subject Classification ID

Partitions of sets (05A18) Bell and Stirling numbers (11B73) Permutations, words, matrices (05A05)

Cites Work

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• The \(r\)-derangement numbers
• The \(r\)-Stirling numbers
• Closed forms for derangement numbers in terms of the Hessenberg determinants
• On a closed form for derangement numbers: an elementary proof
• Extensions of set partitions and permutations
• Combinatorics of Permutations
• Commutation Relations, Normal Ordering, and Stirling Numbers
• The $r$-Bell numbers
• Some Probabilistic Aspects of Set Partitions
• Preferential Arrangements
• On Some Numbers Related to the Bell Numbers
• The Number of Partitions of a Set
• A Function Related to the Series for

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