Strong asymptotics of orthogonal polynomials with varying measures and Hermite-Padé approximants
This very technical paper extends known results on strong asymptotic behaviour of orthogonal polynomials with respect to varying measures on the unit circle and the real line. Using the notions `admissable' and `strongly admissable', new results of Szegő type for both unit circle and real line are derived. As an application hitherto unattainable results on polynomials used for the construction of Hermite-Padé approximants for a Nikishin system of functions are given.
scientific article; zbMATH DE number 1326359