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含Salagean算子的星形函数的子类
Subclasses of Starlike Functions Involving Salagean Operator
【摘要】 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.
【Abstract】 Let A denote the class of functions of the form f(z)=z+∑∞k=2a-kz~k which are analytic in the unit disk.By using the Salagean operator,we introduce 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).
【关键词】 星形函数;
一致凸函数;
卷积;
从属;
Salagean算子;
【Key words】 starlike function; uniformly convex function; convolution; subordination; Salagean operator;
【Key words】 starlike function; uniformly convex function; convolution; subordination; Salagean operator;
- 【文献出处】 常熟理工学院学报 ,Journal of Changshu College , 编辑部邮箱 ,2005年04期
- 【分类号】O174.51
- 【下载频次】18