摘要
定义1.f∈S(p)当且仅当f在D内除在z=p(0<p<1)有一级极点外解析单叶且f(0)=f’(0)-1=0。定义2.f∈σ(p,w_0)当且仅当f∈S(p)且C-f(D)是以w_0∈f(D)为中心的星形集合。
Definition: For 0<p<1, f∈σ(p,w_0) if and only if f(z) is meromorphic univalent
in unit disk D={z: |z|<1, f(p)=∞, f(0)=f'(0)-1=0, and C-f(D)is starlike set with
respect to w_0∈f(D). In this paper, two types of necessary and sufficient conditions for f∈
σ(p,w_0) are obtained. We also discuss the region of values of functional
J(f,ξ)=((f(ξ)-w_0)/(pw_0))(ξ-p)(1-pξ),
subclass with real coefficients and general extremal problems of the class σ(p,w_0). A list of
consequences of main theorems have been gotten.
出处
《纯粹数学与应用数学》
CSCD
1990年第1期82-84,共3页
Pure and Applied Mathematics
