Some identities involving \(q\)-Stirling numbers of the second kind in type B

DOI10.37236/12147arXiv2307.00570OpenAlexW4391684988MaRDI QIDQ6197810

Zeng, Jiang, Mingjian Ding

Publication date: 19 February 2024

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2307.00570

zbMATH Keywords

colored permutationsEulerian numbersCarlitz's major \(q\)-Eulerian numbers

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Combinatorial identities, bijective combinatorics (05A19) (q)-calculus and related topics (05A30) Permutations, words, matrices (05A05)

Cites Work

• A Carlitz identity for the wreath product \(C_r \wr \mathcal G_n\)
• Euler-Mahonian statistics on ordered set partitions. II.
• A \(q\)-analog of Newton's series, Stirling functions and Eulerian functions
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• Rook theory, generalized {S}tirling numbers and {\((p,q)\)}-analogues
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• Statistics on ordered partitions of sets
• An extension of MacMahon's equidistribution theorem to ordered set partitions
• Enumerating wreath products via Garsia-Gessel bijections
• On the descent numbers and major indices for the hyperoctahedral group
• \(q\)-Bernoulli numbers and polynomials
• Eulerian Polynomials: From Euler’s Time to the Present
• Euler–Mahonian Statistics on Ordered Set Partitions
• On the “maj” and “inv”q-analogues of Euierian polynomials
• The Geometry of Root Systems and Signed Graphs
• A q, r-analogue for the Stirling numbers of the second kind of Coxeter groups of type B
• Eulerian Numbers
• Some identities involving second kind Stirling numbers of types \(B\) and \(D\)
• The flag major index and group actions on polynomial rings.
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