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Some combinatorial applications of the \(q\)-Riordan matrix

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Publication:492778
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DOI10.1016/j.laa.2015.06.014zbMath1327.05014OpenAlexW814503881MaRDI QIDQ492778

Gi-Sang Cheon, Ji-Hwan Jung

Publication date: 21 August 2015

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2015.06.014

zbMATH Keywords

\(q\)-Riordan matrixset partition\((r,s)\)-Bessel numbers\(q\)-multiplication


Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Partitions of sets (05A18)


Related Items

\(q\)-Riordan representation, Mertens equimodular matrices of Redheffer type, New \(q\)-Laguerre polynomials having factorized permutation interpretations



Cites Work

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  • Generalized Bessel numbers and some combinatorial settings
  • Combinatorics of Riordan arrays with identical \(A\) and \(Z\) sequences
  • A curious \(q\)-analogue of Hermite polynomials
  • The \(r\)-Stirling numbers
  • Combinatorial proofs of inverse relations and log-concavity for Bessel numbers
  • The Riordan group
  • Congruence properties of \(q\)-analogs
  • A \(q\)-analogue of Mahler expansions. I
  • Some applications of the \(q\)-exponential formula
  • A \(q\)-analogue of the Riordan group
  • A \(q\)-analog of the exponential formula. (Reprint)
  • A \(q\)-analogue of Faà di Bruno's formula
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