The Green’s Function and the Ahlfors Map
نویسنده
چکیده
The classical Green’s function associated to a simply connected domain in the complex plane is easily expressed in terms of a Riemann mapping function. The purpose of this paper is to express the Green’s function of a finitely connected domain in the plane in terms of a single Ahlfors mapping of the domain, which is a proper holomorphic mapping of the domain onto the unit disc that is the analogue of the Riemann map in the multiply connected setting.
منابع مشابه
Möbius Transformations, the Carathéodory Metric, and the Objects of Complex Analysis and Potential Theory in Multiply Connected Domains
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تاریخ انتشار 2007