Some interlacing properties related to the Eulerian and derangement polynomials
type: Item
instance of: scholarly article
title: Some interlacing properties related to the Eulerian and derangement polynomials
author: Lily Li Liu
author: Xue Yan
published in: Advances in Applied Mathematics
publication date: 2024-11-04T00:00:00Z
Mathematics Subject Classification ID: 26C10
Mathematics Subject Classification ID: 05A15
Mathematics Subject Classification ID: 05A20
zbMATH DE Number: 7938157
zbMATH Keywords: interlacing sequence
zbMATH Keywords: Sturm sequence
zbMATH Keywords: recurrence relation
zbMATH Keywords: Eulerian transformation
zbMATH Keywords: derangement transformation
MaRDI profile type: Publication
cites work: Gamma-positivity in combinatorics and geometry
cites work: Unimodality, log-concavity, real-rootedness and beyond
cites work: The Eulerian transformation
cites work: Symmetric Decompositions and Real-Rootedness
cites work: Unimodal, log-concave and Pólya frequency sequences in combinatorics
cites work: Unimodal Polynomials Arising from Symmetric Functions
cites work: \(q\)-Eulerian polynomials arising from Coxeter groups
cites work: Derangement polynomials and excedances of type \(B\)
cites work: On derangement polynomials of type \(B\). II
cites work: Counting derangements, involutions and unimodal elements in the wreath product \(C_r\wr\mathfrak S_n\)
cites work: Q4769056
cites work: Théorie géométrique des polynômes eulériens
cites work: Q4927338
cites work: Real root conjecture fails for five- and higher-dimensional spheres
cites work: Cyclic derangement polynomials of the wreath product \(\mathcal{C}_r\wr S_n\)
cites work: A unified approach to polynomial sequences with only real zeros
cites work: Eulerian Numbers
cites work: Q4294628
cites work: Subdivisions and Local h-Vectors
cites work: Total positivity of Hadamard products
DOI: 10.1016/J.AAM.2024.102776
description: scientific article; zbMATH DE number 7938157