Differential equations and Sobolev orthogonality

DOI10.1016/0377-0427(95)00111-5zbMath0847.33007OpenAlexW2027181691MaRDI QIDQ1917939

Yanyan Li

Publication date: 15 July 1996

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

Full work available at URL: https://doi.org/10.1016/0377-0427(95)00111-5

zbMATH Keywords

Sobolev orthogonal polynomialsspectral differential equationssymmetrizability of differential operator

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (4)

Some remarks on a paper by L. Carlitz ⋮ On differential equations for Sobolev-type Laguerre polynomials ⋮ Orthogonal polynomial solutions of linear ordinary differential equations ⋮ Differential equations for discrete Laguerre-Sobolev orthogonal polynomials

Cites Work

• Sobolev orthogonal polynomials and second-order differential equations
• The search for differential equations for certain sets of orthogonal polynomials
• Differential equations having orthogonal polynomial solutions
• Certain differential equations for Tchebycheff polynomials
• Symmetric and Symmetrisable Differential Expressions
• Orthogonalizing Weights of Tchebychev Sets of Polynomials
• Characterizations of Orthogonal Polynomials Satisfying Differential Equations
• Sobolev Orthogonal Polynomials and Spectral Differential Equations
• A Generalization of Laguerre Polynomials

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