Generalized \(r\)-Lah numbers

DOI10.1007/s12044-016-0309-0zbMath1351.05033arXiv1412.8721OpenAlexW2963296387MaRDI QIDQ345676

Mark Shattuck

Publication date: 2 December 2016

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.8721

zbMATH Keywords

\(r\)-Lah numbers\(r\)-Stirling numberspolynomial generalization

Mathematics Subject Classification ID

Partitions of sets (05A18) Bell and Stirling numbers (11B73) Combinatorial identities, bijective combinatorics (05A19) Other combinatorial number theory (11B75)

Related Items (14)

Unnamed Item ⋮ Normal ordering in the shift algebra and the dual of Spivey’s identity ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Extensions of set partitions and permutations ⋮ \(r\)-Lah distribution: properties, limit theorems and an application to compressed sensing ⋮ Combinatorial approach of unified Apostol-type polynomials using \(\alpha \)-distanced words ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ The \(r\)-alternating permutations ⋮ Sums of r-Lah numbers and r-Lah polynomials ⋮ Gini index on generalized \(r\)-partitions ⋮ Matchings in complete bipartite graphs and the $r$-Lah numbers

Uses Software

• OEIS

Cites Work

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• \(r\)-Whitney numbers of Dowling lattices
• On a new family of generalized Stirling and Bell numbers
• The \(r\)-Stirling numbers
• Log-concavity and LC-positivity
• Generalized Stirling permutations and forests: higher-order Eulerian and Ward numbers
• Generalized Stirling and Lah numbers
• A unified approach to generalized Stirling numbers
• The partial \(r\)-Bell polynomials
• The \(r\)-Lah numbers
• Bivariate generating functions for a class of linear recurrences: general structure
• The $r$-Bell numbers

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