A comprehensive study of \(r\)-Dowling polynomials

DOI10.1007/S00010-017-0538-ZzbMath1420.11048OpenAlexW2794023739MaRDI QIDQ1647758

Eszter Gyimesi, Gábor Nyul

Publication date: 26 June 2018

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00010-017-0538-z

zbMATH Keywords

\(r\)-Dowling numbers\(r\)-Dowling polynomials

Mathematics Subject Classification ID

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

Related Items (6)

Associated \(r\)-Dowling numbers and some relatives ⋮ A new approach to the \(r\)-Whitney numbers by using combinatorial differential calculus ⋮ The \(r\)-Dowling-Lah polynomials ⋮ The \(r\)-alternating permutations ⋮ Unnamed Item ⋮ A q-ANALOGUE OF QI FORMULA FOR r-DOWLING NUMBERS

Cites Work

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• \(r\)-Whitney numbers of Dowling lattices
• Some results on Whitney numbers of Dowling lattices
• A new formula for the Bernoulli polynomials
• On generalized Bell polynomials
• The \(r\)-Stirling numbers
• On Whitney numbers of Dowling lattices
• A unified approach to generalized Stirling numbers
• On some numbers related to Whitney numbers of Dowling lattices
• The partial \(r\)-Bell polynomials
• The translated Dowling polynomials and numbers
• Rook theory, generalized {S}tirling numbers and {\((p,q)\)}-analogues
• On colored set partitions of type \(B_n\)
• A kind of Eulerian numbers connected to Whitney numbers of Dowling lattices
• On the log-convexity of combinatorial sequences
• A class of geometric lattices based on finite groups
• The $r$-Bell numbers
• On The Product of Two Power Series

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