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

被引：0

作者：

Griffin, James ^{[1
]}

Mahmoud, Sara ^{[1
]}

机构：

[1] Amer Univ Sharjah, Dept Math & Stat, Sharjah, U Arab Emirates

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2023年 / 520卷 / 02期

关键词：

Orthogonal rational functions; Rational function mapping; Several intervals; Pell equations;

D O I：

10.1016/j.jmaa.2022.126891

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We develop sequences of orthogonal rational functions arising from rational function mappings applied to the Classical Chebyshev polynomials of the first and second kind. Explicit representations for the rational functions and their associated norms are derived. The work in this manuscript provides the basis for a general frame-work for rational function mappings akin to the polynomial mapping framework developed by Geronimo and Van Assche [10].(c) 2022 Elsevier Inc. All rights reserved.

引用

页数：32

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