Geometric Rigidity for Class S of Transcendental Meromorphic Functions Whose Julia Sets Are Jordan Curves
نویسنده
چکیده
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.
منابع مشابه
Geometric Rigidity for the Class S of Transcendental Meromorphic Functions
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.
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