Generalized Hahn's theorem

DOI10.1016/S0377-0427(99)00319-2zbMath0947.33009MaRDI QIDQ1567362

N. Delaunay

Publication date: 1 November 2000

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

orthogonal polynomialsdifferential equationsHahn's theorem

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) General spectral theory of ordinary differential operators (34L05)

Related Items (4)

Construction of differential operators having Bochner-Krall orthogonal polynomials as eigenfunctions ⋮ Umbral ``classical polynomials ⋮ Classical orthogonal polynomials via a second-order linear differential operators ⋮ Factorization of self-adjoint ordinary differential equations

Cites Work

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• A characterization of Hermite polynomials
• Characterizations of classical orthogonal polynomials
• On the classification of differential equations having orthogonal polynomial solutions
• New characterizations of classical orthogonal polynomials
• A characterization of orthogonal polynomials
• On pairs of related orthogonal polynomial sets
• Certain differential equations for Tchebycheff polynomials
• Orthogonal polynomials satisfying fourth order differential equations
• Orthogonalizing Weights of Tchebychev Sets of Polynomials
• Characterizations of Orthogonal Polynomials Satisfying Differential Equations
• On derivatives of orthogonal polynomials
• On higher derivatives of orthogonal polynomials
• Orthogonal polynomials with orthogonal derivatives
• A New Class of Orthogonal Polynomials: The Bessel Polynomials

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