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Asymptotics of orthogonal polynomials inside the unit circle and Szegő–Padé approximants

By D. Barrios Rolanı́a, G. López Lagomasino and E.B. Saff

Abstract

AbstractWe study the asymptotic behavior of orthogonal polynomials inside the unit circle for a subclass of measures that satisfy Szegő's condition. We give a connection between such behavior and a Montessus de Ballore-type theorem for Szegő–Padé rational approximants of the corresponding Szegő function

Publisher: Elsevier Science B.V.
Year: 2001
DOI identifier: 10.1016/S0377-0427(00)00678-6
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