MacMahon's equidistribution theorem for \(k\)-Stirling permutations

DOI10.1016/j.aam.2021.102193zbMath1467.05007OpenAlexW3138963815MaRDI QIDQ2035994

Shao-Hua Liu

Publication date: 28 June 2021

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aam.2021.102193

zbMATH Keywords

inversionmajor indexMahonian statisticStirling permutation\(1 / k\)-Eulerian polynomialEuler-Mahonian polynomial

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Bernoulli and Euler numbers and polynomials (11B68) Permutations, words, matrices (05A05)

Related Items (7)

Statistics on quasi-Stirling permutations of multisets ⋮ Mahonian and Euler-Mahonian statistics for set partitions ⋮ Stirling permutation codes ⋮ Commuting Eulerian operators ⋮ The Haglund-Remmel-Wilson identity for \(k\)-Stirling permutations ⋮ Partial \(\gamma \)-positivity for quasi-Stirling permutations of multisets ⋮ Further extensions of Haglund-Remmel-Wilson identity

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