On the Iteration of Holomorphic Self Maps of C
摘要
Let f be a holomorphic self-map of the punctured plane C~*=C\{0} with essentiallysingular points 0 and ∞. In this note, we discuss the sets I_O(f)={z∈C~*: f~n(z)→0,n→∞}and I_∞(f)={z∈C~*: f~n(z)→∞,n→∞}.We try to find the relation between I_O(f), I_∞(f)and J(f). It is proved that both the boundary of I_O(f) and the boundary of I_∞(f) equal toJ(f), I_O(f) ∩J(f)≠ 0 and I_∞(f)∩J(f)≠. As a consequence of these results, we find both I_O(f)and I_∞(f) are not doubly-bounded.
引用本文（GB/T 7714）
Fang Zhou, Liping. On the Iteration of Holomorphic Self Maps of C[J]. Acta Scientiarum Naturalium Universitatis Sunyatseni, 1998.
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