亚纯函数涉及分担函数的正规定则

Normal Criteria of Meromorphic Functions Sharing a Holomorphic Function

本文研究亚纯函数涉及分担函数的正规性.设■为定义在区域D上的全纯函数族,n,k,m(≥0)是三个整数,其中n≥k+m+2,p(z)是区域D上零点重数为m的全纯函数.如果函数族■中任意两个函数(f,g)均满足(f^n)^((k))和(g^n)^((k))分担p(z),则■在D上正规.

In this paper,we consider some normality criterion concerning shared functions.Let be a family of holomorphic functions in D,n,k,m≥0 be three integers,p（z） be an analytic function in D,and m be the multiplicity of zeros.If for each pair of functions f,g ∈,（f^n）^（（k））and（g^n）^（（k）） share p（z） in D,then is normal in D.