Orthogonal rational functions and rational modifications of a measure on the unit circle

DOI10.1016/j.jat.2008.04.017zbMath1173.30025OpenAlexW1975568718MaRDI QIDQ1011483

Adhemar Bultheel, Karl Deckers

Publication date: 8 April 2009

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2008.04.017

zbMATH Keywords

unit circleOrthogonal rational functionsrational modification of a measure

Mathematics Subject Classification ID

Miscellaneous topics of analysis in the complex plane (30E99) Set functions and measures on spaces with additional structure (28C99)

Related Items

A matricial computation of rational quadrature formulas on the unit circle ⋮ Computation of rational Szegő-Lobatto quadrature formulas ⋮ An extension of the associated rational functions on the unit circle ⋮ Baxter's difference systems and orthogonal rational functions ⋮ Rational Szegő quadratures associated with Chebyshev weight functions ⋮ Matrix methods for quadrature formulas on the unit circle. A survey

Cites Work

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• Boundary asymptotics for orthogonal rational functions on the unit circle
• Orthogonal rational functions and tridiagonal matrices
• Orthogonal Polynomials and Rational Modifications of Measures
• On computing rational Gauss-Chebyshev quadrature formulas