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, Zaragoza, Spain;Departamento de Matemáticas y Computación, Universidad de La Rioja, Logroño, Spain;Departamento de Matemática Aplicada, Universidad de Zaragoza, Zaragoza, Spain;Departamento de Matemáticas y Computación, Universidad de La Rioja, Logroño, 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.