Recurrences for Eulerian polynomials of type B and type D

DOI10.1007/s00026-016-0327-8zbMath1354.05005arXiv1404.3110OpenAlexW2964104141MaRDI QIDQ505701

Matthew Hyatt

Publication date: 26 January 2017

Published in: Annals of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.3110

zbMATH Keywords

descent numbersigned permutationsEulerian polynomialscompatible polynomialseven signed permutationsinterlacing rootstype B Coxeter grouptype D Coxeter group

Mathematics Subject Classification ID

Permutations, words, matrices (05A05)

Related Items (7)

Descent generating polynomials and the Hermite-Biehler theorem ⋮ On permutation weights and \(q\)-Eulerian polynomials ⋮ Some results related to Hurwitz stability of combinatorial polynomials ⋮ Enumeration of type \(D\) permutations with alternating runs ⋮ Eulerian pairs and Eulerian recurrence systems ⋮ Gamma positivity of the descent based Eulerian polynomial in positive elements of classical Weyl groups ⋮ New Eulerian numbers of type \(D\)

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