摘要
本文研究了在单位开圆盘U={z：｜z｜〈1}内多叶解析的函数族G＊p,c（a,b,σ）的性质.利用函数论的方法,获得了G＊p,c（a,b,σ）族相关的准哈达玛乘积的一般化结果及G＊p,c（a,b,σ）的极值点与支撑点.推广了先前相应的一些研究工作。
In this paper, we investigate functions of the class G＊p,c（a,b,σ） which are analytic and multivalent in the open unit disk U={z：｜z｜〈1}. By using the method of function theory, we obtain some general results concerning the quasi-Hadamard product and the extreme points and support points of G＊p,c（a,b,σ）. Many interesting consequences of the main results extend related works of several earlier authors.
出处
《数学杂志》
CSCD
北大核心
2014年第4期651-661,共11页
Journal of Mathematics
基金
Supported by Scientific Research Fund of Sichuan Provincial Education Department(14ZB0364)
关键词
解析函数
多叶函数
准哈达玛乘积
极值点
支撑点
analytic functions
multivalent function
quasi-Hadamard product
extremepoints
support points
