Differential operators having Sobolev-type Jacobi polynomials as eigenfunctions.

DOI10.1016/S0377-0427(02)00810-5zbMath1137.34360MaRDI QIDQ1872985

H. Bavinck

Publication date: 19 May 2003

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

zbMATH Keywords

orthogonal polynomialsJacobi polynomialsdifferential operators

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10)

Related Items (8)

The differential equation for Jacobi-Sobolev orthogonal polynomials with two linear perturbutions ⋮ New representation and factorizations of the higher-order ultraspherical-type differential equations ⋮ On convergence of Fourier series in discrete Jacobi–Sobolev spaces ⋮ Symmetric differential operators for Sobolev orthogonal polynomials of Laguerre- and Jacobi-type ⋮ On self-adjoint operators generated by the fourth-order Laguerre type differential expression ⋮ Bispectral Laguerre type polynomials ⋮ New representations of the Laguerre-Sobolev and Jacobi-Sobolev orthogonal polynomials ⋮ Bispectral Jacobi type polynomials

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• On differential equations for Sobolev-type Laguerre polynomials
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• Differential operators having Sobolev-type Laguerre polynomials as eigenfunctions: New developments

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