分担值与全纯函数的正规族

SHARED VALUES AND NORMAL FAMILIES FOR HOLOMORPHIC FUNCTIONS

证明了一个区域上的全纯函数族是正规的，如果任意两个相互判别的有限非零复数为族中任意函数及其一阶导数在该区域中的 Ｉ Ｍ 分担值。

It is shown that a family, F , of holomorphic functions in a domain ,G, is normal, if each member f∈F . f and its derivtive f′ share two distinct finite nonzero complex values IM in G.