分担一个值的亚纯函数族

摘要

In this paper,the normality of a family of meromorphic functions related to shared a value has been researched,and the following result is proved： Let F be a family of mermorphic functions on the unit disc Δ,and k be a positive integer.If all zeros of f-a are of multiplicity at least k,and f（z）=a■f（k）（z）=a■f（k＋1）（z）=a for every f∈F,then F is normal on Δ.%研究了关于分担一个值的亚纯函数的正规族问题,证明了：设F为区域D上的亚纯函数族,k是正整数,如果对任意的f∈F.f-a的零点重数至少为k,f（z）=a■f（k）（z）=a■f（k＋1）（z）=a,则F在D上正规.