星像函数积分算子

Starlike Integral Operators

设Sn(ρ)表示ρ(ρ<1)阶星像函数f(z)=z+α_(n+1)z^(n+1)+α_(n+2)z^(n+2)+…的全体所成的集,本文主要研究定义在Sn(ρ)上的积分算子的性质,得到的结果推广了S.S.Miller等人相应的工作。

Let N_n be the class of analytic functions of the form f(z)=z+a_(n+1)z^(n+1)+a_(n+2)z^(n+2)+…, |z|<1 Let S_n(ρ)={f∈N_n and Re zf′(z)/f(z)>ρ, |z|<1, ρ<1}. We study properties of integral operators defined on S_n(ρ).