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

Abstract

We study the asymptotic behaviour 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.

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Fine structure of the zeros of orthogonal polynomials: a progress report

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Orthogonal polynomials with exponentially decaying recursion coefficients

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