Hankel determinants of a linear combination of three successive Catalan numbers

DOI10.1007/s00009-012-0200-xzbMath1275.33014OpenAlexW2006795202MaRDI QIDQ1949841

Belgacem Bouras

Publication date: 17 May 2013

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-012-0200-x

zbMATH Keywords

Jacobi polynomialsHankel determinantsCatalan numbers

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Related Items (4)

Hermitian-Toeplitz determinants for functions with bounded turning ⋮ Hankel determinant of linear combination of the shifted catalan numbers ⋮ A unified approach for the Hankel determinants of classical combinatorial numbers ⋮ Catalan-like number sequences and Hausdorff moment sequences

Cites Work

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• Determinants of (generalised) Catalan numbers
• Modified classical orthogonal polynomials associated with oscillating functions -- open problems
• La multiplication d'une forme linéaire par une fraction rationnelle. Application aux formes de Laguerre-Hahn
• Counting on Determinants
• Generalized Jacobi orthogonal polynomials
• Symmetric semi-classical forms of classs≤2 generalizing Hermite
• Some aspects of Hankel matrices in coding theory and combinatorics

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