A new encoding of permutations by Laguerre histories

zbMath1420.05009arXiv1902.01546MaRDI QIDQ2325747

Hao Zhou, Sherry H. F. Yan, Zhicong Lin

Publication date: 30 September 2019

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

Full work available at URL: https://arxiv.org/abs/1902.01546

zbMATH Keywords

weighted Motzkin paths(\(\mathrm{inv}\), \(\mathrm{exc}\))-\(q\)-Eulerian polynomials

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Bernoulli and Euler numbers and polynomials (11B68) Permutations, words, matrices (05A05)

Related Items (4)

An involution on restricted Laguerre histories and its applications ⋮ Eulerian polynomials and excedance statistics ⋮ Some multivariate polynomials for doubled permutations ⋮ A context-free grammar for the \(e\)-positivity of the trivariate second-order Eulerian polynomials

Cites Work

• Unnamed Item
• On \(\gamma\)-positive polynomials arising in pattern avoidance
• Inversion polynomials for 321-avoiding permutations
• On 1212-avoiding restricted growth functions
• The symmetric and unimodal expansion of Eulerian polynomials via continued fractions
• New Euler-Mahonian statistics on permutations and words
• The \(q\)-tangent and \(q\)-secant numbers via continued fractions
• Symmetric unimodal expansions of excedances in colored permutations
• Gamma-positivity in combinatorics and geometry
• Théorie géométrique des polynômes eulériens
• A Survey of Alternating Permutations
• Eulerian Numbers

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