Normal families and fixed points of iterates

Details Normal families and fixed points of iterates Normal families and fixed points of iterates

2010-01-25

arxiv.org/abs/1001.4511v1

Sci. China Math. 53 (2010), 593-596

Mathematics

Complex Variables

5 pages

Scientific paper

10.1007/s11425-010-0021-y

Let F be a family of holomorphic functions and let K be a constant less than
4. Suppose that for all f in F the second iterate of f does not have fixed
points for which the modulus of the multiplier is greater than K. We show that
then F is normal. This is deduced from a result about the multipliers of
iterated polynomials.

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