Asymptotic behaviour of the conformal representation of a Jordan domain with a small hole.
by
Massimo Lanza de Cristoforis
Dipartimento di Matematica Pura ed Applicata, Universita` di Padova

As it is well-known, given a plane Jordan domain with a hole, there exists a unique properly normalized holomorphic homeomorphism of an annular domain with inner radius depending on the domain and with outer radius one, onto the domain itself. We analyze the behaviour of the inner radius and of the holomorphic homeomorphism, as the hole shrinks to a point.

Date received: April 26, 2001

Copyright © 2001 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cahk-15.