分担值和正规族

Shared Values and Normality

中文关键词:  亚纯函数  正规族  分担值

英文关键词:meromorphic function  shared values  normal family.

中文摘要:

      设F是单位圆盘△上的亚纯函数族,a是一个非零的有穷复数,如果?f∈F,满足1)f的零点是重级的; 2)f和f′IM分担a, 则F在△上正规.相应于正规函数的结果也得到了证明.

英文摘要:

      Let F be a family of meromorphic functions on the unit disc A, and a be a non-zero finite complex number. If for every ?f ∈ F, i) f and f′ IM share a on △ ; ii) the zeros of f(z) are multiple, then F is normal on △. The corresponding results on normal function are also proved.