This article is cited in 3 papers

A scalar Riemann problem approach to the strong asymptotics of Padé approximates and orthogonal polynomials

A. I. Aptekarev, W. Van Assche, S. P. Suetin


Abstract: A method for the derivation of strong asymptotics for the numerator and denominator polynomials of Padé approximates and for the polynomials orthogonal with respect to a complex weight is studied in detail. The method is based on a Riemann boundary value problem on a two-sheeted Riemann surface. The paper serves as lecture notes for a short special course for students.