New Eulerian numbers of type \(D\)

zbMath1382.05004arXiv1509.03758MaRDI QIDQ252858

Wojciech Młotkowski, Anna Borowiec

Publication date: 4 March 2016

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

Full work available at URL: https://arxiv.org/abs/1509.03758

zbMATH Keywords

Eulerian numberssigned permutationsmoments of a probability measure

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Bernoulli and Euler numbers and polynomials (11B68) Permutations, words, matrices (05A05) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Related Items (7)

Permutations of type \(B\) with fixed number of descents and minus signs ⋮ Enumeration of type \(D\) permutations with alternating runs ⋮ An asymptotic distribution theory for Eulerian recurrences with applications ⋮ Sign variation and descents ⋮ Sign variation and descents ⋮ Permutations, Moments, Measures ⋮ The Worpitzky identity for the groups of signed and even-signed permutations

Uses Software

• OEIS

Cites Work

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• Recurrences for Eulerian polynomials of type B and type D
• On the real-rootedness of the descent polynomials of \((n-2)\)-stack sortable permutations
• \(q\)-Eulerian polynomials arising from Coxeter groups
• On the Eulerian polynomials of type \(D\).
• On the descent numbers and major indices for the hyperoctahedral group
• Eulerian polynomials as moments, via exponential Riordan arrays
• On linear transformations preserving the Pólya frequency property
• The 𝐬-Eulerian polynomials have only real roots

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