一个p叶解析函数类的相关性质

Properties for certain subclass of p-valently analytic functions

令Hn(p)表示在单位圆盘U={z:|z|<1}内形如f(z)=zp+∑+∞k=n+pakzk的函数,研究了它的一个子类,得到从属关系、包含关系、系数边界等性质.另外,也获得了一个卷积的包含性质.

Let H n p be the class of functions of the form f（z）=zp＋∑＋∞k=n＋pakzk, which are analytic in the open unit disk U={z：｜z｜〈1}. The present paper is to derive various properties of certain subclasses of p-valently analytic functions in the open unit disk which include subordination relations, inclusion relations and coefficient bounds. In addition, it gives out an inclusion property of Hadamard product.