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The Hankel transform of aerated sequences

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Publication:2854314
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DOI10.1080/10652469.2012.751105zbMath1360.11054OpenAlexW2023428790MaRDI QIDQ2854314

Marko D. Petković, Paul Barry, Radica Bojičić

Publication date: 18 October 2013

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2012.751105


zbMATH Keywords

Hankel determinantCatalan numbersseries reversionaerating transform


Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Special sequences and polynomials (11B83) Matrices, determinants in number theory (11C20) Calculation of integer sequences (11Y55)


Related Items (2)

Combinatorial proofs of addition formulas ⋮ Generalized harmonic numbers, Jacobi numbers and a Hankel determinant evaluation




Cites Work

  • Determinants of (generalised) Catalan numbers
  • Hankel determinants for some common lattice paths
  • Aztec diamonds and digraphs, and Hankel determinants of Schröder numbers
  • Advanced determinant calculus: a complement
  • The Hankel transform of a sequence obtained by series reversion
  • The Hankel transform of the sum of consecutive generalized Catalan numbers




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