On the spiral property of the \(q\)-derangement numbers

DOI10.1016/0012-365X(95)00090-JzbMath0859.05013OpenAlexW2144924450MaRDI QIDQ1126223

Xiang-De Zhang

Publication date: 8 December 1996

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0012-365x(95)00090-j

zbMATH Keywords

\(q\)-analoguescoefficientunimodal polynomial\(q\)-derangement numbers

Mathematics Subject Classification ID

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

Related Items (8)

The log-concavity of the \(q\)-derangement numbers of type \(B\) ⋮ \((M,i)\)-multiset Eulerian polynomials ⋮ The ratio monotonicity of the \(q\)-derangement numbers ⋮ On derangement polynomials of type \(D\) ⋮ Unnamed Item ⋮ On two unimodal descent polynomials ⋮ Unnamed Item ⋮ Random decompositions of Eulerian statistics

Cites Work

• A combinatorial interpretation of q-derangement and q-Laguerre numbers
• \(q\)-analogs of the inclusion-exclusion principle and permutations with restricted position
• Counting permutations with given cycle structure and descent set
• On q-Derangement Numbers

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