On q-Derangement Numbers
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Publication:3822169
DOI10.2307/2047402zbMath0669.05006OpenAlexW4252162888MaRDI QIDQ3822169
Publication date: 1989
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2047402
Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) (q)-calculus and related topics (05A30) Permutations, words, matrices (05A05)
Related Items (31)
ON q-DERANGEMENT NUMBERS AND POLYNOMIALS ⋮ The log-concavity of the \(q\)-derangement numbers of type \(B\) ⋮ On the spiral property of the \(q\)-derangement numbers ⋮ Eulerian quasisymmetric functions ⋮ Invariant theory for the free left-regular band and a \(q\)-analogue ⋮ Self-reciprocal polynomials connecting unsigned and signed relative derangements ⋮ On a kind of sequence of polynomials ⋮ Exceedingly deranging! ⋮ Specializations of colored quasisymmetric functions ⋮ The \((1-\mathbb{E})\)-transform in combinatorial Hopf algebras ⋮ The ratio monotonicity of the \(q\)-derangement numbers ⋮ On derangement polynomials of type \(D\) ⋮ Unnamed Item ⋮ Signed words and permutations. IV: Fixed and pixed points ⋮ A \(p,q\)-analogue of the generalized derangement numbers ⋮ The major index polynomial for conjugacy classes of permutations ⋮ \(q\)-analogs of the inclusion-exclusion principle and permutations with restricted position ⋮ Fix-Euler-Mahonian statistics on wreath products ⋮ A combinatorial formula for the linearization coefficients of general Sheffer polynomials ⋮ The limiting distribution of the \(q\)-derangement numbers ⋮ Specializations of colored quasisymmetric functions and Euler-Mahonian identities ⋮ Unimodal Polynomials Arising from Symmetric Functions ⋮ Unnamed Item ⋮ Recurrence relations for graph polynomials on bi-iterative families of graphs ⋮ A probabilistic approach to some of Euler’s number theoretic identities ⋮ A combinatorial interpretation of the Seidel generation of \(q\)-derangement numbers ⋮ Labeled partitions with colored permutations ⋮ Frame patterns in \(n\)-cycles ⋮ Counting permutations with given cycle structure and descent set ⋮ Descent classes of permutations with a given number of fixed points ⋮ Bijectively deranging!
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