Orthogonal polynomials, Catalan numbers, and a general Hankel determinant evaluation

DOI10.1016/j.laa.2011.10.010zbMath1250.05016OpenAlexW2062466920MaRDI QIDQ2427906

Wathek Chammam, Ridha Sfaxi, Francisco Marcellán

Publication date: 19 April 2012

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

Full work available at URL: https://doi.org/10.1016/j.laa.2011.10.010

zbMATH Keywords

orthogonal polynomialsHankel transformCatalan numbers

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)

Related Items

Catalan-Qi numbers, series involving the Catalan-Qi numbers and a Hankel determinant evaluation ⋮ Hankel determinant of linear combination of the shifted catalan numbers ⋮ Some new connection relations related to classical orthogonal polynomials ⋮ Hankel determinants for generating functions of Catalan-like numbers ⋮ Generalized harmonic numbers, Jacobi numbers and a Hankel determinant evaluation ⋮ Several formulas and identities related to Catalan-Qi and \(q\)-Catalan-Qi numbers

Cites Work

• Some determinants of path generating functions
• A multilinear operator for almost product evaluation of Hankel determinants
• Advanced determinant calculus
• Advanced determinant calculus: a complement
• On the Chebyshev Polynomials of the Second Kind
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