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An inversion model for q-identities

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Publication:595654
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DOI10.1016/S0195-6698(83)80016-XzbMath0527.05003OpenAlexW2049911907MaRDI QIDQ595654

Ian P. Goulden, David M. Jackson

Publication date: 1983

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0195-6698(83)80016-x

zbMATH Keywords

binomial identitiesGaussian coefficientordered bipartitionq-identities


Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Factorials, binomial coefficients, combinatorial functions (05A10) Permutations, words, matrices (05A05)


Related Items

The \(r\)-multipermutations, \(q\)-analogs of the inclusion-exclusion principle and permutations with restricted position, Branching flags, branching nets, and reverse matchings



Cites Work

  • Permutation statistics and partitions
  • A combinatorial interpretation of q-derangement and q-Laguerre numbers
  • Algebraic methods for permutations with prescribed patterns
  • Binomial posets, Möbius inversion, and permutation enumeration
  • On the Geometry of Numbers in Elementary Number Theory
  • On the Foundations of Combinatorial Theory IV Finite Vector Spaces and Eulerian Generating Functions
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