摘要
设F({n})={f(z):f(z)在|z|<1内解析,f(z)=z-∞n=1anzn,an≥0,+∞n=2nan≤1},则F({n})是星形函数族的一个子族.许多学者研究了这个函数族.设M={f(z):f(z)在|z|<1内解析,f(z)=z-∞n=1anzn,an≥an+1≥0,+∞n=2nan≤1}.在本文中我们找出了函数族M的极值点与支撑点.
Let F({n})={f(z): f(z) is analytic in |z|<1, f(z)=z-+∞n=2a nz n, a n≥0, +∞n=2na n≤1}. It is well known that F({n}) is a subclass of starlikeness of functions. This family has been studied by many people. LetM={f(z): f(z)=z-∞n=2a nz n, a n≥a n+1 ≥0, ∞n=2na n≤1}. In this chapter we obtained the extreme points and support points of M.
出处
《数学杂志》
CSCD
1998年第4期450-454,共5页
Journal of Mathematics
关键词
一致收敛拓扑
极值点
支撑点
星形函数族
topology of uniform convergence on compacts of the unit disk extreme point support point