Differential operators having symmetric orthogonal polynomials as eigenfunctions

DOI10.1016/S0377-0427(99)00094-1zbMath0938.34074MaRDI QIDQ1298795

H. Bavnick, J. Koekoek

Publication date: 22 August 1999

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

zbMATH Keywords

orthogonal polynomialsdifferential operatorslinear differential operators of infinite order

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Ordinary differential equations of infinite order (34A35)

Related Items (7)

On the higher-order differential equations for the generalized Laguerre polynomials and Bessel functions ⋮ Differential operator for discrete Gegenbauer-Sobolev orthogonal polynomials: eigenvalues and asymptotics ⋮ Orthogonal polynomial solutions of linear ordinary differential equations ⋮ New representations of the Laguerre-Sobolev and Jacobi-Sobolev orthogonal polynomials ⋮ Differential operators having Sobolev-type Gegenbauer polynomials as eigenfunctions ⋮ Classical Sobolev orthogonal polynomials: eigenvalue problem ⋮ On the differential equation for the Laguerre-Sobolev polynomials

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• Certain differential equations for Tchebycheff polynomials
• Orthogonal polynomials with respect to a symmetric inner product involving derivatives
• Orthogonal polynomials satisfying fourth order differential equations
• Differential Equations for Symmetric Generalized Ultraspherical Polynomials
• Differential equations for generalized Jacobi polynomials

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