A Criterion of Normality Concerning Holomorphic Functions Whose Derivative Omit a Function II

The authors discuss the normality concerning holomorphic functions and get the following result.Let F be a family of functions holomorphic on a domain DC,all of whose zeros have multiplicity at least k,where k≥2 is an integer.Let h(z)≠0 and ∞ be a meromorphic function on D.Assume that the following two conditions hold for every f∈F:(a)f(z)=0→|f(k)(z)|<|h(z)|.(b)f(k)(z)≠h(z).Then F is normal on D.

The authors discuss the normality concerning holomorphic functions and get the following result. Let F be a family of functions holomorphic on a domain D C, all of whose zeros have multiplicity at least k, where k ≥ 2 is an integer. Let h（z） ≠ 0 and oo be a meromorphic function on D. Assume that the following two conditions hold for every f C Dr ： （a） f（z） = 0 =→ ｜f（k）（z）｜ 〈｜h（z）｜. （b） f（k）（z） ≠ h（z）. Then F is normal on D.