A Class of Nonsymmetric Orthogonal Polynomials on the Unit Circle

Authors: Cantero M.J.¹; Marcellán F.²; Moral L.³

Source: Journal of Approximation Theory, Volume 109, Number 1, March 2001 , pp. 30-47(18)

Publisher: Academic Press

Abstract:

We investigate a particular quadratic decomposition for sequences of orthogonal polynomials, related to quasi-definite functionals on the unit circle. A constructive method is analyzed in order to generate nonsymmetric orthogonal polynomials. Copyright 2001 Academic Press.

Keywords: orthogonal polynomials; reflection parameters; Caratheó; dory functions

Language: English

Document Type: Research article

Affiliations: 1: Departamento de Matemática Aplicada, Universidad de Zaragoza, Zaragoza, Spain 2: Departamento de Matemáticas, Universidad Carlos III de Madrid, Calle Butarque 15, Madrid, Leganés, 28911, Spain 3: Departamento de Matemática Aplicada, Universidad de Zaragoza, Zaragoza, Spain

Publication date: 2001-03-01

• In this: publication
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• In this Subject: Mathematics and Statistics
• By this author: Cantero M.J. ;  Marcellán F. ;  Moral L.

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