On differential equations for orthogonal polynomials on the unit circle

DOI10.1016/j.jmaa.2009.03.008zbMath1172.33001OpenAlexW2002255867MaRDI QIDQ1023020

M. N. Rebocho, Amílcar Branquinho

Publication date: 10 June 2009

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

Full work available at URL: http://hdl.handle.net/10316/11242

zbMATH Keywords

Carathéodory functionorthogonal polynomials on the unit circleLaguerre-Hahn class on the unit circlemeasure on the unit circlesemi-classical functions

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Other special orthogonal polynomials and functions (33C47)

Related Items (2)

Laguerre–Hahn orthogonal polynomials on the real line ⋮ Second-order differential equations in the Laguerre-Hahn class

Cites Work

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• Fourth-order differential equation for the co-modified of semi-classical orthogonal polynomials
• Über Differentialgleichungen für Orthogonalpolynome
• On certain determinants whose elements are orthogonal polynomials
• Orthogonal Polynomials and Their Derivatives, II
• Discriminants and functional equations for polynomials orthogonal on the unit circle

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