设F是区域D上的亚纯函数族,a,b≠0,c是3个互异有穷复数.对F中的任意一个函数f,如果满足条件Ef(a) Er(n),Ef(b) Ef(6),Ef(c) Ef(c),则F在D上正规.特别地,有例子表明,此定理的条件是必要的.
Let F be a family of meromorphic function in D,a ,b ≠0,c be three distinct finite constants . If for any f ∈ F,Ef(a) Ef (a) ,Ef(b) Ep (b) ,Ef (c) Ef(c), then F is a normal family. Moreover, example shows that the conditions of the theorem is necessary.