Pfaffian decomposition and a Pfaffian analogue of \(q\)-Catalan Hankel determinants

DOI10.1016/j.jcta.2013.03.008zbMath1278.05043arXiv1011.5941OpenAlexW2963864135MaRDI QIDQ388197

Hiroyuki Tagawa, Masao Ishikawa, Zeng, Jiang

Publication date: 19 December 2013

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.5941

zbMATH Keywords

Hankel determinantsmoments of orthogonal polynomialsPfaffian decompositionPfaffian of Catalan numbersshifted reverse plane partitions

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Symmetric functions and generalizations (05E05) Determinants, permanents, traces, other special matrix functions (15A15)

Related Items

Off-diagonally symmetric domino tilings of the Aztec diamond ⋮ A quadratic formula for basic hypergeometric series related to Askey-Wilson polynomials ⋮ Heine representations and monotonicity properties of determinants and Pfaffians ⋮ Evaluations of certain Catalan-Hankel Pfaffians via classical skew orthogonal polynomials

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