Some dynamical properties of transcendental meromorphic functions

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. © 2007 Elsevier Inc. All rights reserved.