Further extensions of Haglund-Remmel-Wilson identity

DOI10.1016/j.aam.2022.102459zbMath1505.05019OpenAlexW4310547217MaRDI QIDQ2111201

Robin D. P. Zhou, Sherry H. F. Yan, Sha Ling, Li-Hong Yang

Publication date: 28 December 2022

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

Full work available at URL: https://doi.org/10.1016/j.aam.2022.102459

zbMATH Keywords

inversion numbermajor indexStirling permutationMacMahon's equidistribution theorem

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Partitions of sets (05A18) Permutations, words, matrices (05A05) Enumeration in graph theory (05C30)

Related Items (2)

The Haglund-Remmel-Wilson identity for set partitions ⋮ The Haglund-Remmel-Wilson identity for \(k\)-Stirling permutations

Cites Work

• Stirling polynomials
• The \(r\)-multipermutations
• Inverse descents of \(r\)-multipermutations
• Hilbert polynomials in combinatorics
• MacMahon's equidistribution theorem for \(k\)-Stirling permutations
• Statistics on multipermutations and partial \(\gamma\)-positivity
• An extension of MacMahon's equidistribution theorem to ordered set partitions
• Stirling permutations on multisets
• The Haglund-Remmel-Wilson identity for \(k\)-Stirling permutations
• Unimodal, log-concave and Pólya frequency sequences in combinatorics
• A Combinatorial Property of q-Eulerian Numbers
• Real Zeros and Normal Distribution for Statistics on Stirling Permutations Defined by Gessel and Stanley
• On the Netto Inversion Number of a Sequence

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