A Landing Theorem for Dynamic Rays of Subhyperbolic Entire Functions
نویسنده
چکیده
Let f be a subhyperbolic entire transcendental function of finite order and let z0 be a repelling periodic point of f . We show that there exists at least one dynamic ray (injective curve to ∞ consisting of escaping points) that lands at z0. In fact, our result holds more generally, namely for any subhyperbolic entire function f for which each periodic address is realised by some dynamic ray in the sense of [12].
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