\((p, q, t)\)-Catalan continued fractions, gamma expansions and pattern avoidances

DOI10.1016/j.aam.2024.102735zbMATH Open1546.05004MaRDI QIDQ6596192

Qiong Qiong Pan, Bin Han

Publication date: 2 September 2024

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

zbMATH Keywords

group actioncontinued fractionCatalan numberspattern avoidance\(\gamma\)-positive

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Permutations, words, matrices (05A05) Continued fractions (11A55)

Cites Work

• The symmetric and unimodal expansion of Eulerian polynomials via continued fractions
• On total positivity of Catalan-Stieltjes matrices
• The descent statistic on 123-avoiding permutations
• Faces of generalized permutohedra
• Combinatorial aspects of continued fractions
• Generalized permutation patterns and a classification of the Mahonian statistics
• Catalan continued fractions and increasing subsequences in permutations
• Gamma-positivity in combinatorics and geometry
• Eulerian polynomials and excedance statistics
• Rearrangements of the symmetric group and enumerative properties of the tangent and secant numbers
• \((q, t)\)-Catalan numbers: gamma expansions, pattern avoidances, and the \((-1)\)-phenomenon
• Actions on permutations and unimodality of descent polynomials
• The insertion encoding of permutations
• Unimodality, log-concavity, real-rootedness and beyond
• Runs, Slides and Moments
• Eulerian Numbers

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