Hankel determinants for generating functions of Catalan-like numbers

DOI10.1080/03081087.2017.1422690zbMath1407.15008OpenAlexW2782566817MaRDI QIDQ4622864

Lily Li Liu, Lili Mu

Publication date: 18 February 2019

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

Full work available at URL: https://doi.org/10.1080/03081087.2017.1422690

zbMATH Keywords

Hankel determinantorthogonal polynomialCatalan-like number

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Determinants, permanents, traces, other special matrix functions (15A15) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Cites Work

• A Widom like formula for some Toeplitz plus Hankel determinants
• A unified approach for the Hankel determinants of classical combinatorial numbers
• Hankel determinants of sums of consecutive Motzkin numbers
• Catalan-like numbers and Stieltjes moment sequences
• Combinatorial proofs of addition formulas
• A multilinear operator for almost product evaluation of Hankel determinants
• Determinants of (generalised) Catalan numbers
• Almost product evaluation of Hankel determinants
• Advanced determinant calculus
• Catalan-like numbers and determinants
• A simple proof of the Aztec diamond theorem
• Hankel determinants of shifted Catalan-like numbers
• Orthogonal polynomials, Catalan numbers, and a general Hankel determinant evaluation
• Aztec diamonds and digraphs, and Hankel determinants of Schröder numbers
• Advanced determinant calculus: a complement
• Riordan arrays, orthogonal polynomials as moments, and Hankel transforms
• Catalan Numbers
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• Unnamed Item

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