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Some dynamical properties of transcendental meromorphic functions
Authors:Qiu Ling  
Affiliation:aCollege of Applied Science, Beijing University of Technology, Beijing 100022, China
Abstract:If a transcendental meromorphic function f with finitely many poles has a completely invariant domain U which is simply connected and satisfies some conditions, we prove F(f)=U. And for a transcendental meromorphic function f with the lower order μ<∞ and δ(∞,f)>0, we prove J(f) cannot be contained in any finite set of straight lines completely.
Keywords:Completely invariant domain   Logarithmic singularity
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