Asymptotics of orthogonal polynomials inside the unit circle and Szego-Pade approximants

摘要

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