A study of a sequence of classical orthogonal polynomials of dimension 2

DOI10.1006/JATH.1996.3078zbMath0885.42015OpenAlexW2014982069MaRDI QIDQ1369252

Ammar Boukhemis

Publication date: 7 April 1998

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jath.1996.3078

zbMATH Keywords

Gegenbauer polynomialssimultaneous orthogonal polynomials

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) Generalized hypergeometric series, ({}_pF_q) (33C20)

Related Items (6)

Operational rules and d-orthogonal polynomials of Laguerre type ⋮ Classical \(2\)-orthogonal polynomials and differential equations ⋮ On semi‐classical d‐orthogonal polynomials ⋮ Ond-orthogonal polynomials of Sheffer type ⋮ On some operators varying the dimensional parameters of d-orthogonality ⋮ 2-Orthogonal polynomials and Darboux transformations. Applications to the discrete Hahn-classical case

Cites Work

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• Two-dimensional orthogonal polynomials, their associated sets and the co- recursive sets
• Une caractérisation des polynômes strictement 1/p orthogonaux de type Scheffer. Étude du cas \(p=2\). (A characterization of strictly 1/p orthogonal polynomials of Scheffer type)
• Une caractérisation des polynômes \(d\)-orthogonaux classiques
• L'orthogonalité et les récurrences de polynômes d'ordre supérieur à deux
• LES POLYNÔMES ORTHOGONAUX „CLASSIQUES“ DE DIMENSION DEUX
• Sur l'équation de M. Pierre Humbert
• On derivatives of orthogonal polynomials
• Über lineare Differentialgleichungen, deren Lösungen einer Rekursionsformel genügen

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