Differential operators having Sobolev-type Laguerre polynomials as eigenfunctions: New developments

DOI10.1016/S0377-0427(00)00642-7zbMath0990.34072MaRDI QIDQ5946592

H. Bavinck

Publication date: 5 August 2002

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

zbMATH Keywords

polynomialseigenfunctionslinear differential operatorsinfinite orderSobolev-type Laguerre polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10)

Related Items (6)

Differential operators having Sobolev-type Jacobi polynomials as eigenfunctions. ⋮ Connection coefficients for Laguerre--Sobolev orthogonal polynomials. ⋮ Symmetric differential operators for Sobolev orthogonal polynomials of Laguerre- and Jacobi-type ⋮ Orthogonal polynomial solutions of linear ordinary differential equations ⋮ New representations of the Laguerre-Sobolev and Jacobi-Sobolev orthogonal polynomials ⋮ On the differential equation for the Laguerre-Sobolev polynomials

Cites Work

• Unnamed Item
• Differential equations of infinite order for Sobolev-type orthogonal polynomials
• On the sum of the coefficients of certain linear differential operators
• Differential and difference operators having orthogonal polynomials with two linear perturbations as eigenfunctions
• On a linear perturbation of the Laguerre operator
• The search for differential equations for certain sets of orthogonal polynomials
• A direct approach to Koekoek's differential equation for generalized Laguerre polynomials
• On a Differential Equation for Koornwinder's Generalized Laguerre Polynomials
• Differential operators having Sobolev type Laguerre polynomials as eigenfunctions
• On differential equations for Sobolev-type Laguerre polynomials

This page was built for publication: Differential operators having Sobolev-type Laguerre polynomials as eigenfunctions: New developments