Orthogonal polynomials on the unit circle and their derivatives |
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| Authors: | Francisco Marcellán Pascal Maroni |
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| Institution: | 1. Departamento de Matemática Aplicada Escuela Técnica Superior de Ingenieros Industriales, Universidad Politécnica, Madrid, Spain
2. Laboratoire d'Analyse Numérique, Université Pierre et Marie Curie, Paris, France
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| Abstract: | We characterize the sequences of orthogonal polynomials on the unit circle whose derivatives are also orthogonal polynomials on the unit circle. Some relations for the sequences of derivatives of orthogonal polynomials are provided. Finally, we pose some problems about orthogonality-preserving maps and differential equations for orthogonal polynomials on the unit circle. |
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