关键词: 亚纯函数, 分担值, 正规族

Abstract:

Let k(≥2) be a positive integer, let M be a positive number, let h(z) be a  holomorphic function in a domain D, h≠0, and let F be a family of meromorphic functions in D, all of whose zeros have multiplicity at least k+1, and whose poles are multiple. If, for each f ∈F,  |f(z)|≥M whenever f ^k(z)=h(z), then F is normal in D.

Key words: Normal families, Meromorphic functions, Shared values