Second-order differential equations in the Laguerre-Hahn class

DOI10.1016/j.apnum.2015.03.002zbMath1325.42031OpenAlexW2080920362MaRDI QIDQ2347481

Yanyan Li

Publication date: 27 May 2015

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2015.03.002

zbMATH Keywords

classical orthogonal polynomialsRiccati differential equationorthogonal polynomials on the real linesemi-classical functionals

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Explicit solutions, first integrals of ordinary differential equations (34A05)

Related Items (3)

Laguerre–Hahn orthogonal polynomials on the real line ⋮ About families of orthogonal polynomials satisfying Heun's differential equation ⋮ Sylvester equations for Laguerre-Hahn orthogonal polynomials on the real line

Cites Work

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• Associated Laguerre and Hermite polynomials
• Explicit Formulas for the Associated Jacobi Polynomials and Some Applications
• Fourth-order differential equations for numerator polynomials
• The Associated Ultraspherical Polynomials and their _q-Analogues
• Some Results on Co-Recursive Associated Laguerre and Jacobi Polynomials

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