涉及不动点的全纯函数的正规族

On Normal Families of Holomorphic Functions Concerning Fix-point

研究正规族与分担值之间的关系,得出:若F是区域D上的一族全纯函数族,p(z)为次数≥2的多项式,如果对任意的f,g∈F,有p(f)和p(g)在D上IM分担z,则F在D上正规.

Some normality criterion concerning shared values are considered,and the following result is obtained：Let F be a family of analytic functions defined in a domain D,and p（z） be a polynomial with degree deg（p（z））≥2.If for every pair of function f,g∈F such that p（f） and p（g） share z in D,then F is normal in D.