| 一类固定系数解析函数的极值点与支撑点 |
| |
| 引用本文： | 熊良鹏,刘晓丽.一类固定系数解析函数的极值点与支撑点[J].湖北大学学报(自然科学版),2012,34(2):215-217,230. |
| |
| 作者姓名： | 熊良鹏 刘晓丽 |
| |
| 作者单位： | 成都理工大学工程技术学院,四川乐山,614000 |
| |
| 基金项目： | 四川省成都理工大学工程技术学院科研发展基金 |
| |
| 摘 要： | 摘要 设Q={f(z):f(z)=z-an+1zn+1-(∞∑k=n+2)akzk},这里an+1=c(n+2)/(n+1)(n+3),ak≥0,∞∑k=n+2k(k+2)/k+1ak≤1-c,0≤c≤1,n∈N,并且f(z)在单位圆盘△={z:| z |＜1}内解析,得到函数族Q的极值点与支撑点.
|
| 关 键 词： | 单叶函数 解析函数 线性泛函 极值点 支撑点 |
Extreme points and support points of a class of analytic functions with fixed coefficient |
| |
| XIONG Liangpeng
,
LIU Xiaoli.Extreme points and support points of a class of analytic functions with fixed coefficient[J].Journal of Hubei University(Natural Science Edition),2012,34(2):215-217,230. |
| |
| Authors: | XIONG Liangpeng LIU Xiaoli |
| |
| Institution: | (School of Engineer and Technical,Chengdu University of Technology,Leshan 614000,China) |
| |
| Abstract: | Let Q={f(z):f(z)=z-an+1zn+1-sum from k=n+2 to ∞(akzk)},where an+1=c(n+2)(n+1)(n+3),ak≥0,an+1=(c(n+2))/((n+1)(n+3)),ak≥0,sum from k=n+2 to ∞((k(k+2))/(k+1)ak)≤1-c,0≤c≤1,n∈N and f(z)was analytic in the unit open disk,the extreme points and support points of the class Q were obtained. |
| |
| Keywords: | univalent function analytic function linear functional extreme points support points |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
