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A q-analogue of Catalan Hankel determinants

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Publication:5852737
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zbMath1180.05018arXiv1009.2004MaRDI QIDQ5852737

Masao Ishikawa, Zeng, Jiang, Hiroyuki Tagawa

Publication date: 27 January 2010

Full work available at URL: https://arxiv.org/abs/1009.2004


zbMATH Keywords

orthogonal polynomialsdeterminantscontinued fractionsDyck pathsCatalan numbers


Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) (q)-calculus and related topics (05A30) Determinants, permanents, traces, other special matrix functions (15A15) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)


Related Items (5)

Pfaffian decomposition and a Pfaffian analogue of \(q\)-Catalan Hankel determinants ⋮ Hankel determinants, Hahn polynomials, and a formula of Krattenthaler ⋮ Deformation of Cayley's hyperdeterminants ⋮ Laurent biorthogonal polynomials, \( q\)-Narayana polynomials and domino tilings of the Aztec diamonds ⋮ A quadratic formula for basic hypergeometric series related to Askey-Wilson polynomials




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