An involution on restricted Laguerre histories and its applications

DOI10.1016/j.aam.2023.102573zbMath1521.05003arXiv2208.11627MaRDI QIDQ6094847

Publication date: 14 September 2023

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

Full work available at URL: https://arxiv.org/abs/2208.11627

zbMATH Keywords

equidistribution bijection Mahonian statistic permutation statistic Laguerre history multiset-valued statistic

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Permutations, words, matrices (05A05)

Cites Work

Unnamed Item
Proof of Gessel's \(\gamma\)-positivity conjecture
Counting Dyck paths by area and rank
On 1212-avoiding restricted growth functions
Patterns in permutations and words.
The symmetric and unimodal expansion of Eulerian polynomials via continued fractions
New Euler-Mahonian statistics on permutations and words
The sorting index
Combinatorial aspects of continued fractions
On the structure of the lattice of noncrossing partitions
Permutations selon leurs pics, creux, doubles montees et double descentes, nombres d'Euler et nombres de Genocchi
Generalized permutation patterns and a classification of the Mahonian statistics
Equidistributions of Mahonian statistics over pattern avoiding permutations
Octabasic Laguerre polynomials and permutation statistics
Gamma-positivity in combinatorics and geometry
New equidistribution of set-valued statistics on permutations
Some multivariate master polynomials for permutations, set partitions, and perfect matchings, and their continued fractions
Eulerian polynomials and excedance statistics
Rearrangements of the symmetric group and enumerative properties of the tangent and secant numbers
A new encoding of permutations by Laguerre histories
From \(q\)-Stirling numbers to the ordered multiset partitions: a viewpoint from vincular patterns
\((q, t)\)-Catalan numbers: gamma expansions, pattern avoidances, and the \((-1)\)-phenomenon
Actions on permutations and unimodality of descent polynomials
Sur les partitions non croisées d'un cycle. (The non-crossed partitions of a cycle)
Crossings and alignments of permutations
Unimodality, log-concavity, real-rootedness and beyond
Moments of orthogonal polynomials and combinatorics
Runs, Slides and Moments
Generalized noncrossing partitions and combinatorics of Coxeter groups
Permutations and sequences with repetitions by number of increases
The Genus Zeta Function of Hereditary Orders in Central Simple Algebras Over Global Fields
Denert's Permutation Statistic Is Indeed Euler‐Mahonian
Combinatorics of Orthogonal Polynomials and their Moments
Permutations, Moments, Measures
Equidistributions around Special Kinds of Descents and Excedances
A combinatorial formula for the linearization coefficients of general Sheffer polynomials
Babson-Steingrímsson statistics are indeed Mahonian (and sometimes even Euler-Mahonian)

This page was built for publication: An involution on restricted Laguerre histories and its applications