含Salagean算子的星形函数的子类

Subclasses of Starlike Functions Involving Salagean Operator

设A表示单位圆盘内形为f(z)=z+∑k=2akzk的解析函数类.利用Salagean算子,引进A的新子类H(n,λ),研究H(n,λ)中函数的一些有趣的性质,这里n是非负整数,-1<λ≤1.

Let A denote the class of functions of the fomf（z）=z＋∑k=2∞akz^k which are analytic in the unit disk. By using theSalagean operator,we introtuce a new subclass H（n,λ） of A ,where n ∈ {0,1,2,3,……} and -1〈λ≤1 ,and investigate some interesting properties of functions in the class H（n,λ）.