Gamma-positivity of derangement polynomials and binomial Eulerian polynomials for colored permutations

DOI10.1016/j.jcta.2021.105459zbMath1467.05006OpenAlexW3145930079MaRDI QIDQ2037160

Yanyan Li

Publication date: 30 June 2021

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcta.2021.105459

zbMATH Keywords

\(\gamma\)-positivitycolored permutationderangement polynomialbinomial Eulerian polynomialmodified Foata-Strehl action

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Bernoulli and Euler numbers and polynomials (11B68) Permutations, words, matrices (05A05) Symmetric functions and generalizations (05E05)

Related Items (5)

On the \(\gamma\)-positivity of multiset Eulerian polynomials ⋮ Polynomials related to \(q\)-analog of the generalized derivative polynomials ⋮ \((M,i)\)-multiset Eulerian polynomials ⋮ Excedance-type polynomials, gamma-positivity and alternatingly increasing property ⋮ The Eulerian distribution on \(k\)-colored involutions

Cites Work

• The \(\gamma\)-positivity of basic Eulerian polynomials via group actions
• Counting derangements, involutions and unimodal elements in the wreath product \(C_r\wr\mathfrak S_n\)
• Symmetric unimodal expansions of excedances in colored permutations
• Faces of generalized permutohedra
• On derangement polynomials of type \(B\). II
• Permutation statistics of indexed permutations
• Gamma-positivity in combinatorics and geometry
• Real-rootedness of variations of Eulerian polynomials
• Derangements, Ehrhart theory, and local \(h\)-polynomials
• Eulerian polynomials and excedance statistics
• Some multivariate polynomials for doubled permutations
• Rearrangements of the symmetric group and enumerative properties of the tangent and secant numbers
• On the joint distribution of cyclic valleys and excedances over conjugacy classes of \(\mathfrak{S}_n\)
• Binomial Eulerian polynomials for colored permutations
• Gamma-positivity of variations of Eulerian polynomials
• Derangement polynomials and excedances of type \(B\)
• \((q, t)\)-Catalan numbers: gamma expansions, pattern avoidances, and the \((-1)\)-phenomenon
• Around the \(q\)-binomial-Eulerian polynomials
• Actions on permutations and unimodality of descent polynomials
• Théorie géométrique des polynômes eulériens
• The \(\gamma \)-positive coefficients arising in segmented permutations
• Edgewise Subdivisions, Local $h$-Polynomials, and Excedances in the Wreath Product $\mathbb{Z}_r \wr \mathfrak{S}_n$
• Unimodality, log-concavity, real-rootedness and beyond
• Runs, Slides and Moments
• Eulerian Polynomials: From Euler’s Time to the Present
• Eulerian Numbers
• The 𝐬-Eulerian polynomials have only real roots

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