亚纯P叶函数的邻域及部分和  

Neighborhoods and partial sums of meromorphic p-valent functions

作　　者：程艳莉[1] 

机构地区：[1]连云港职业技术学院基础部,江苏连云港222006

出　　处：《河北理工学院学报》2004年第4期75-79,共5页Journal of Hebei Institute of Technology

摘　　要：引进单位圆盘内亚纯P叶函数的新子类Tn,p(a;A,B)和T+n,p(a;A,B),延伸了亚纯函数邻域的概念。研究了函数f(z)=z-p+∑∞m=pamzm-p的邻域及部分和,并研究了函数f(z)=z-p+∑∞m=1|am|zm的邻域。In this paper,a new subclass T_(n,p)(a;AB)andT^+_(n,p)(a;AB)of meromorphically p-valent functions in the unit disc are introduced and the concept of neighborhoods of meromorphically functions determined.Neighborhoods and partial sums of the function f(z)=z^(-p)+∑∞m=na_mz^(m-p).and neighborhoods of the function z^(-p)+∑∞m=n|a_m|z^(m-p)are studied,the method used is function of the complex variable.

关 键 词：邻域 P叶函数 部分和 单位圆盘 亚纯函数 子类 延伸 

分 类 号：O174[理学—数学] O211[理学—基础数学]