关于某些多叶解析函数  

On Certain Multivalent Analytic Functions

作　　者：杨定恭[1] 

机构地区：[1]苏州大学数学系,江苏苏州215006

出　　处：《常熟高专学报》2002年第2期1-8,共8页Journal of Changshu College

摘　　要：设Ap(k) (p,k为正整数 )表示单位圆盘E ={z:｜z｜<1 }内形为f(z) =zp+∑∞n =p+kanzn的解析函数类 ,Sp(k)表示由E内p叶星形函数组成的Ap(k)的子类 .本文导出含有Ap(k)中函数的几个不等式 ,并且给出函数属于类Sp(k)Let A p(k)(p,k∈N={1,2,3,…}) be the class of functions of the form f(z)=z p+∑∞n=p+ka nz n which are analytic in the unit disk E={z:｜z｜<1} and Let S p(k) denote the subclass of A p(k) consisting of functions which are p_valently starlike in E.In this paper we derive some inequalities involving functions in the class A p(k) and give sufficient conditions for a function to be in the class S p(k) .

关 键 词：多叶解析函数 P叶星形函数 不等式 单位圆盘 

分 类 号：O174.5[理学—数学]