Normality Criteria of Meromorphic Functions That Share a Holomorphic Function

摘要

Letℱbe a family of meromorphic functions defined inD, letψ(≢0),a0,a1,...,ak-1be holomorphic functions inD, and letkbe a positive integer. Suppose that, for every functionf∈ℱ,f≠0,P(f)=f(k)+ak-1f(k-1)+⋯+a1f′+a0f≠0and, for every pair functions(f,g)∈ℱ,P(f),P(g)shareψ, thenℱis normal inD.