Some asymptotic properties for orthogonal polynomials with respect to varying measures

Authors:
María Pilar Alfaro;Manuel Bello Hernández;Jesús María Montaner;Juan L. Varona
Affiliations:
Departamento de Matemáticas, Universidad de Zaragoza, Calle Pedro Cerbuna s/n, 50009 Zaragoza, Spain;Departamento de Matemáticas y Computación, Universidad de La Rioja, Edificio J.L. Vives, Calle Luis de Ulloa s/n, 26004 Logroòo, Spain;Departamento de Matemática Aplicada, Universidad de Zaragoza, Edificio Torres Quevedo, Calle María de Luna 3, 50018 Zaragoza, Spain;Departamento de Matemáticas y Computación, Universidad de La Rioja, Edificio J.L. Vives, Calle Luis de Ulloa s/n, 26004 Logroòo, Spain
Venue:
Journal of Approximation Theory
Year:
2005

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Abstract

We study some properties of the zeros and the asymptotic behavior of orthogonal polynomials with respect to varying measures on the unit circle. In the proofs, some techniques of rational approximation are used.