Normal families and fixed points of iterates
arXiv:1001.4511 · doi:10.1007/s11425-010-0021-y
Abstract
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.
5 pages