Linear perturbations of differential or difference operators with polynomials as eigenfunctions

DOI10.1016/S0377-0427(96)00140-9zbMath0877.34057OpenAlexW2067710464MaRDI QIDQ676004

H. Bavinck

Publication date: 4 November 1997

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

Full work available at URL: https://doi.org/10.1016/s0377-0427(96)00140-9

zbMATH Keywords

eigenfunctionsdifference operatorlinear differential

Mathematics Subject Classification ID

General spectral theory of ordinary differential operators (34L05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10)

Related Items (6)

Differential operators having Sobolev type Laguerre polynomials as eigenfunctions ⋮ Differential operator for discrete Gegenbauer-Sobolev orthogonal polynomials: eigenvalues and asymptotics ⋮ Orthogonal polynomial solutions of linear ordinary differential equations ⋮ Differential operators having Sobolev-type Gegenbauer polynomials as eigenfunctions ⋮ Differential and difference operators having orthogonal polynomials with two linear perturbations as eigenfunctions ⋮ Differential operators having symmetric orthogonal polynomials as eigenfunctions

Cites Work

• Unnamed Item
• Differential equations of infinite order for Sobolev-type orthogonal polynomials
• Difference equations for generalized Meixner polynomials
• A direct approach to Koekoek's differential equation for generalized Laguerre polynomials
• On a difference equation for generalizations of Charlier polynomials
• Difference operators with Sobolev type Meixner polynomials as eigenfunctions
• A difference operator of infinite order with Sobolev-type Charlier polynomials as eigenfunctions
• Differential equations of infinite order for orthogonal polynomials
• On a Differential Equation for Koornwinder's Generalized Laguerre Polynomials
• On Orthogonal Polynomials of Sobolev Type: Algebraic Properties and Zeros
• Differential Equations for Symmetric Generalized Ultraspherical Polynomials
• On differential equations for Sobolev-type Laguerre polynomials
• Orthogonal Polynomials With Weight Function (1 - x)^α( l + x)^β + Mδ(x + 1) + Nδ(x - 1)
• On polynomials orthogonal with respect to an inner product involving differences (the general case)
• A Generalization of Laguerre Polynomials

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