A \(q\)-analogue of generalized Eulerian polynomials with applications

DOI10.1016/J.AAM.2018.12.002zbMath1407.05028OpenAlexW2903677299WikidataQ128722851 ScholiaQ128722851MaRDI QIDQ670646

Qiong Qiong Pan, Zeng, Jiang

Publication date: 18 March 2019

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

Full work available at URL: https://doi.org/10.1016/j.aam.2018.12.002

zbMATH Keywords

descentsEulerian polynomialspeaksinversions\(q\)-Eulerian polynomialsleft-peaksup-down runs

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Partitions of sets (05A18) (q)-calculus and related topics (05A30)

Related Items (2)

Enumeration of permutations by the parity of descent positions ⋮ Hankel continued fractions and Hankel determinants of the Euler numbers

Uses Software

• OEIS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Enumerations of permutations and continued \(J\)-fractions
• A recurrence relation for the ``inv analogue of \(q\)-Eulerian polynomials
• Binomial posets, Möbius inversion, and permutation enumeration
• Consecutive patterns in permutations
• A context-free grammar for peaks and double descents of permutations
• Eulerian polynomials and descent statistics
• Poset homology of Rees products, and \(q\)-Eulerian polynomials
• Major Index and Inversion Number of Permutations
• The peak algebra and the descent algebras of types B and D
• Eulerian Numbers
• Enriched 𝑃-Partitions

This page was built for publication: A \(q\)-analogue of generalized Eulerian polynomials with applications