A Scalar Riemann Problem Approach to the Strong Asymptotics of Pad'e Approximates and Orthogonal Polynomials.
Abstract:
A method for the derivation of strong asymptotics for the numerator and denominator polynomials of Pad'e 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.
Publication language:russian
Research direction:
Mathematical problems and theory of numerical methods
