一族星形函数的支撑点

On the Support Points of Some Families of Starlike Functions

命A表示单位园盘△={z:|z|<1}内解析的函数的集合,A_0={f(z):f(z)∈A,f(0)=0}。 B_0={w(z):w(z)∈A_0,|w(z)|<1,z∈△}对任意固定的实常数a,b,-1≤b<a≤1,命:

Let A denote the class or functions f(z) analytic in the unit disk D. A_0={f(z):f(z)∈A,f(0)=0} B_0={w(z):w(z)∈A_0,|w(z)|<1,z∈D} Further let a and b be arbitrary fixed real numbers that satisfy-1≤b<a≤1, analytic and univalent in D--{0}, -[zF'(z)]/F(z) ∈P[a,b]} In this paper, we obtain the forms of the support points of the classes S~* [a,b] and∑~*[a.b].