Orthogonal rational functions arising from the Chebyshev polynomials of first and second kind

DOI10.1016/j.jmaa.2022.126891OpenAlexW4309821618MaRDI QIDQ2680407

Yanyan Li

Publication date: 2 January 2023

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2022.126891

zbMATH Keywords

orthogonal rational functionsPell equationsseveral intervalsrational function mapping

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) Miscellaneous topics of analysis in the complex plane (30Exx)

Cites Work

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• Orthogonal polynomials with asymptotically periodic recurrent coefficients
• Chebyshev polynomials for disjoint compact sets
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• Orthogonal Polynomials on Several Intervals Via a Polynomial Mapping
• A generalization of the Chebyshev polynomials
• Generalizations of Chebyshev polynomials and polynomial mappings
• Strong Stieltjes distributions and orthogonal Laurent polynomials with applications to quadratures and Padé approximation

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