Geometric Rigidity for the Class S of Transcendental Meromorphic Functions
نویسنده
چکیده
We consider all the transcendental meromorphic functions from the class S whose Julia set is a Jordan curve. We show that then the Julia set is either a straight line or its Hausdorff dimension is strictly larger than 1.
منابع مشابه
Geometric Rigidity for Class S of Transcendental Meromorphic Functions Whose Julia Sets Are Jordan Curves
We consider any transcendental meromorphic function f of Class S whose Julia set is a Jordan curve. We show that the Julia set of f either is an extended straight line or has Hausdorff dimension strictly greater than 1. The proof uses conformal iterated function systems and extends many earlier results of this type.
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تاریخ انتشار 2008