The search for differential equations for certain sets of orthogonal polynomials

DOI10.1016/0377-0427(93)90141-WzbMath0796.34013arXivmath/9908142MaRDI QIDQ1318394

Roelof Koekoek

Publication date: 27 April 1994

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

Full work available at URL: https://arxiv.org/abs/math/9908142

zbMATH Keywords

generalized polynomialsinfinite order differential equationsSobolev-Laguerre polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Ordinary differential equations of infinite order (34A35)

Related Items (14)

Orthogonal functions satisfying a second-order differential equation. ⋮ Two point masses perturbation of regular moment functionals ⋮ Differential equations having orthogonal polynomial solutions ⋮ Differential equations and Sobolev orthogonality ⋮ On Sobolev orthogonal polynomials ⋮ Differential equations of infinite order for Sobolev-type orthogonal polynomials ⋮ On differential equations for Sobolev-type Laguerre polynomials ⋮ Orthogonal polynomial solutions of linear ordinary differential equations ⋮ Differential operators having Sobolev-type Laguerre polynomials as eigenfunctions: New developments ⋮ Differential Equations for Symmetric Generalized Ultraspherical Polynomials ⋮ Sobolev Orthogonal Polynomials and Spectral Differential Equations ⋮ On the differential equation for the Laguerre-Sobolev polynomials ⋮ Differential and difference operators having orthogonal polynomials with two linear perturbations as eigenfunctions ⋮ Differential equations for discrete Laguerre-Sobolev orthogonal polynomials

Cites Work

• On a Differential Equation for Koornwinder's Generalized Laguerre Polynomials
• Orthogonal Polynomials With Weight Function (1 - x)^α( l + x)^β + Mδ(x + 1) + Nδ(x - 1)
• A Generalization of Laguerre Polynomials
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