Periodic points and normal families
نویسندگان
چکیده
منابع مشابه
Normal Families and Fixed Points of Iterates
Let F be a family of holomorphic functions and suppose that there exists ε > 0 such that if f ∈ F , then |(f2)′(ξ)| ≤ 4 − ε for all fixed points ξ of the second iterate f. We show that then F is normal. This is deduced from a result which says that if p is a polynomial of degree at least 2, then p has a fixed point ξ such that |(p2)′(ξ)| ≥ 4. The results are motivated by a problem posed by Yang...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2001
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-01-05864-6