Hankel determinant of linear combination of the shifted catalan numbers

DOI10.1080/03081087.2022.2081309MaRDI QIDQ6116933

Wathek Chammam, Habib Rebei, Anis Riahi

Publication date: 18 July 2023

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

zbMATH Keywords

Catalan numberHankel determinantChristoffel formula

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Matrices, determinants in number theory (11C20)

Cites Work

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• A unified approach for the Hankel determinants of classical combinatorial numbers
• Catalan-Qi numbers, series involving the Catalan-Qi numbers and a Hankel determinant evaluation
• Determinants of (generalised) Catalan numbers
• Binomial determinants, paths, and hook length formulae
• Modified classical orthogonal polynomials associated with oscillating functions -- open problems
• Hankel determinants of a linear combination of three successive Catalan numbers
• Orthogonal polynomials, Catalan numbers, and a general Hankel determinant evaluation
• Generalized harmonic numbers, Jacobi numbers and a Hankel determinant evaluation
• Some aspects of Hankel matrices in coding theory and combinatorics

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