Eulerian numbers associated with arithmetical progressions

zbMath1391.11055MaRDI QIDQ1753014

José L. Ramírez, Sergio N. Villamarin, Diego Villamizar

Publication date: 25 May 2018

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: http://www.combinatorics.org/ojs/index.php/eljc/article/view/v25i1p48

zbMATH Keywords

combinatorial identitiesunimodality\(r\)-Whitney numberEulerian number\(r\)-Whitney-Eulerian number

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Special sequences and polynomials (11B83)

Related Items (6)

Some combinatorial identities of the r-Whitney-Eulerian numbers ⋮ Extensions of set partitions and permutations ⋮ Boson operator ordering identities from generalized Stirling and Eulerian numbers ⋮ An asymptotic distribution theory for Eulerian recurrences with applications ⋮ The \(r\)-alternating permutations ⋮ Generalized Stirling numbers and sums of powers of arithmetic progressions

Cites Work

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• Eulerian Polynomials: From Euler’s Time to the Present
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• The linear algebra of ther-Whitney matrices
• The Cumulative Numbers and Their Polynomials

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