Some identities of the \(r\)-Whitney numbers

DOI10.1007/s00010-015-0404-9zbMath1415.11048OpenAlexW2310714188MaRDI QIDQ284703

José L. Ramírez, István Mezö

Publication date: 18 May 2016

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

Full work available at URL: https://doi.org/10.1007/s00010-015-0404-9

zbMATH Keywords

combinatorial identitiesRiordan arrays\(r\)-Whitney number\(r\)-Whitney-Eulerian numbers

Mathematics Subject Classification ID

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

Related Items (19)

Double parameter recurrences for polynomials in bi-infinite Riordan matrices and some derived identities ⋮ Determinants involving the numbers of the Stirling-type ⋮ A new approach to the \(r\)-Whitney numbers by using combinatorial differential calculus ⋮ Some combinatorial identities of the r-Whitney-Eulerian numbers ⋮ Recurrence relation for the Appell sequences ⋮ Boson operator ordering identities from generalized Stirling and Eulerian numbers ⋮ Higher order generalized geometric polynomials ⋮ The orthomorphism graph \(\mathcal{L}_3(q)\) ⋮ Eulerian numbers associated with arithmetical progressions ⋮ An asymptotic distribution theory for Eulerian recurrences with applications ⋮ Some polynomials associated with the \(r\)-Whitney numbers ⋮ The \(r\)-alternating permutations ⋮ New definitions of the generalized Stirling numbers ⋮ Unnamed Item ⋮ Some remarks on the generalized Apostol-Bernoulli and Apostol-Euler polynomials ⋮ On the periodicity problem of residual r-Fubini sequences ⋮ Some identities related to ther-Whitney numbers ⋮ New convolutions for complete and elementary symmetric functions ⋮ Unnamed Item

Cites Work

• A note on the \(r\)-Whitney numbers of Dowling lattices
• A convolution for complete and elementary symmetric functions
• \(r\)-Whitney numbers of Dowling lattices
• Some results on Whitney numbers of Dowling lattices
• A new formula for the Bernoulli polynomials
• The \(r\)-Stirling numbers
• On Whitney numbers of Dowling lattices
• The Riordan group
• Riordan arrays and combinatorial sums
• On some numbers related to Whitney numbers of Dowling lattices
• The partial \(r\)-Bell polynomials
• Asymptotic estimates for \(r\)-Whitney numbers of the second kind
• Combinatorics of Permutations
• The linear algebra of ther-Whitney matrices
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