具有正系数的亚纯P叶函数的一个子类  

A Subclass of Meromorphic P-Valent Functions with Positive Coefficient

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：《甘肃联合大学学报（自然科学版）》2004年第3期16-19,共4页Journal of Gansu Lianhe University :Natural Sciences

摘　　要：引进单位圆盘内具有正系数的亚纯P叶函数新子类T+n,p(α;A,B),研究了函数f(z)=z-p+ ∞m=p|am|zm在类T+n,p(α;A,B)中的充分必要条件及与类T+n,p(α;A,B)相关的性质,确定了亚纯P叶星象函数和亚纯P叶凸象函数在类T+n,p(α;A,B)中的半径.在这篇文章中,采用复变函数方法.In this paper,we first introduce a new subclass T^+_(n,p)(α;A,B) of meromorphically p-valent functions with positive coefficients in the unit disc and study a necessary and sufficient condition for the function f(z)=z^(-p)+∞m=p|a_m|z^m to be in the class T^+_(n,p)(α;A,B) .Moreover,we prove the associated property for the class T^+_(n,p)(α;A,B) and determine the radius of meromorphically p-valent starlikeness and meromorphically p-valent convexity of the class T^+_(n,p)(α;A,B).We use the method of function of the complex variable.

关 键 词：正系数 亚纯P叶函数 线性算子 多叶函数 极值函数 P叶凸象函数 

分 类 号：O174.52[理学—数学]