分担值与正规定则

Sharing Values and Normality Criteria

设F为单位圆盘Δ上的亚纯函数族,a为非零复数,k为一正整数.笔者证明了如果对任意的f∈F,f≠0,f和f(k)在Δ上IM分担a,则F在Δ上正规.

Let F be a family of meromorphic functions on the unit disc △,let a be a non-zero complex number and k bea positive integer. If for every f∈,f≠0,f and f^（k）and share a, then F is normal on unit disk △.