摘要
本文对域D内的亚纯函数族{f(z)},讨沦了其线性组合a_0f^((k))(z)+a_1f^((k-1))(z)+…+a_kf(z)在一定条件下的正规性(即本文定理2),推广了文[1]的相应结论。
In this paper we obtain following result:let F be a family of meromorphic functions in the region d, φ and Ψ be holomorphic functions in the D, in addition,Ψ(z)(?)a_0φ^((k))(z)+a_2φ^((k-2))(z)+…+a_kφ(z).If for each f(z)∈F, we have f(z)≠φ(z), a_0f^((k))+a_2f^((k-2))+…+a_2f≠Ψ(a_0, a_2,…, a_k are complex numbers a_0≠0, k is a natural number), then F is normal in region D.
出处
《华中师范大学学报（自然科学版）》
CAS
CSCD
1989年第4期479-482,共4页
Journal of Central China Normal University：Natural Sciences
