Meromorphic Functions Whose Julia Sets Contain a Free Jordan Arc
نویسنده
چکیده
In the main result of this paper we show that if the Julia set of a meromorphic function f contains a free analytic Jordan arc then it must in fact be a straight line, circle, segment of a straight line or an arc of a circle. If f is transcendental then the Julia set is unbounded and so consists of one or two straight line segments. We construct examples of functions whose Julia sets are of this form.
منابع مشابه
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