A Padé-type approach to non-classical orthogonal polynomials

DOI10.1016/0022-247X(85)90146-5zbMath0572.33011MaRDI QIDQ1062193

H. van Rossum, Erik Hendriksen

Publication date: 1985

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Laguerre-Perron differential equation

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Padé approximation (41A21)

Related Items

Painlevé-type differential equations for the recurrence coefficients of semi-classical orthogonal polynomials, Semiclassical multiple orthogonal polynomials and the properties of Jacobi-Bessel polynomials, The methods of Vorobyev and Lanczos, Laguerre–Hahn orthogonal polynomials on the real line, On the assignment of a Dirac-mass for a regular and semi-classical form, Complex path integral representation for semiclassical linear functionals, On semi-classical linear functionals of class \(s=1\). Classification and integral representations

Cites Work

• On the classification of differential equations having orthogonal polynomial solutions
• On the classification of differential equations having orthogonal polynomial solutions. II
• The Krall Polynomials as Solutions to a Second Order Differential Equation
• THE KRALL POLYNOMIALS: A NEW CLASS OF ORTHOGONAL POLYNOMIALS
• Nonclassical Orthogonal Polynomials as Solutions to Second Order Differential Equations
• Orthogonal polynomials satisfying fourth order differential equations
• Distributional Weight Functions for Orthogonal Polynomials
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