Statistics on pairs of permutations

DOI10.1016/0012-365X(94)00027-GzbMath0831.05010OpenAlexW1971607118MaRDI QIDQ1897427

Don Rawlings, Jean-Marc Fedou

Publication date: 27 August 1995

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

Full work available at URL: https://doi.org/10.1016/0012-365x(94)00027-g

zbMATH Keywords

permutationsstatistics

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) (q)-calculus and related topics (05A30) Permutations, words, matrices (05A05) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items

Combinatorial objects enumerated by \(q\)-Bessel functions ⋮ Permutations and words counted by consecutive patterns ⋮ Generating functions for alternating descents and alternating major index ⋮ A combinatorial proof of a result for permutation pairs

Cites Work

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• The zeros of basic Bessel functions, the functions J(nu+ax)(x), and associated orthogonal polynomials
• Enumeration of pairs of permutations
• Binomial posets, Möbius inversion, and permutation enumeration
• More statistics on permutation pairs
• Adjacencies in words
• A Combinatorial Property of q-Eulerian Numbers
• q-Bernoulli and Eulerian Numbers