A note on the \(r\)-Whitney numbers of Dowling lattices

DOI10.1016/j.crma.2013.09.011zbMath1277.05167OpenAlexW2060785905MaRDI QIDQ386659

Mircea Merca

Publication date: 10 December 2013

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

Full work available at URL: https://doi.org/10.1016/j.crma.2013.09.011

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05)

Related Items

Some identities of the \(r\)-Whitney numbers, A new connection betweenr-Whitney numbers and Bernoulli polynomials, Determinants involving the numbers of the Stirling-type, A new approach to the \(r\)-Whitney numbers by using combinatorial differential calculus, A kind of Eulerian numbers connected to Whitney numbers of Dowling lattices, New combinatorial interpretations of \(r\)-Whitney and \(r\)-Whitney-Lah numbers, Some applications of the \(r\)-Whitney numbers, Higher order generalized geometric polynomials, The orthomorphism graph \(\mathcal{L}_3(q)\), Eulerian numbers associated with arithmetical progressions, Some polynomials associated with the \(r\)-Whitney numbers, The \(r\)-Stirling numbers of the first kind in terms of the Möbius function, New definitions of the generalized Stirling numbers, The linear algebra of ther-Whitney matrices, Some identities related to ther-Whitney numbers, New convolutions for complete and elementary symmetric functions, The \(r\)-central factorial numbers with even indices

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Combinatorial interpretations of particular evaluations of complete and elementary symmetric functions
• \(r\)-Whitney numbers of Dowling lattices
• A new formula for the Bernoulli polynomials
• The \(r\)-Stirling numbers
• New properties of \(r\)-Stirling series
• On the maximum of \(r\)-Stirling numbers
• Combinatorial interpretations of the Jacobi-Stirling numbers
• On Whitney numbers of Dowling lattices
• Log-concavity of Whitney numbers of Dowling lattices
• On some numbers related to Whitney numbers of Dowling lattices
• Legendre polynomials, Legendre--Stirling numbers, and the left-definite spectral analysis of the Legendre differential expression
• The Legendre-Stirling numbers
• A class of geometric lattices based on finite groups
• Pascal's Matrices
• A combinatorial interpretation of the Legendre-Stirling numbers