关于杨乐及Schwick的一结果

On a result due to Yang and Schwick

设ψ■0为复平面区域D内的只有单零点的全纯函数,k为正整数,F为区域D内的亚纯函数族.如果每个f∈F满足f≠0且只有重极点;对F内任一组函数f与g,f(k)与g(k)在D内分担ψ(z),则F在D内正规.

Let ψ 0 be holomorphic in a domain D and all of whose zeros are simple,k be a positive integer. Let F be a family of meromorphic functions defined in D.If,for each f∈F with f≠0 and all poles of f are multiple;for each pair of functions f and g in F,f（k）and g（k）shareψ（z）in D,then F is normal in D.