分担线性多项式的全纯函数的正规族

Normal Families of Holomorphic Functions Shared Linear Polynomial

设F为区域D内的一个全纯函数族,k(≥2)是一正整数,λ和μ是两个非零的常数.若对于任意的f∈F,当f(z)=λz+μ,z∈D时,有f(k)(z)=λz+μ,且f与f′CM分担λz+μ,则F在D上是正规的.

Let F be a family of holomorphie functions in a domain D and k （≥2） be a positive integer and let λ and μ be nonzero constants.If,for eaeh f ∈ F,and when λz＋μ, z ∈ D, have f^（k）（z）=λz＋μ where f and f＇ shared λz＋μ, then F is normal in D.