An approximation of conformal mappings on smooth domains: An International Journal

Abstract

Let G be a finite domain with z(0)G and bounded by a Jordan curve L:G. The Bieberbach polynomials (n), n=1,2,..., associated with the pair (G,z(0)) can be used to approximate the conformal mapping phi(0) from G to D(0,r(0)):{w:|w|<r(0)} normalized by . In this work we define a new subclass of smooth Jordan curves and give the estimates of in accordance with the parameters defining this subclass.