A Criterion of Normality Based on a Single Holomorphic Function Ii

In this paper, we continue to discuss normality based on a single holomorphic function. We obtain the following result. Let F be a family of functions holomorphic on a domain D ⊂ C. Let k ≥ 2 be an integer and let h(̸≡ 0) be a holomorphic function on D, such that h(z) has no common zeros with any f ∈ F . Assume also that the following two conditions hold… (More)