| 关于Ruscheweyh乘数猜测 |
| |
| 引用本文： | 张小平,何建军,叶中秋.关于Ruscheweyh乘数猜测[J].江西科学,2008,26(3):359-361. |
| |
| 作者姓名： | 张小平 何建军 叶中秋 |
| |
| 作者单位： | 1. 江西理工大学应用科学学院,江西赣州,341000
2. 江西师范大学数信学院,江西南昌,330027 |
| |
| 摘 要： | Ruscheweyh乘数猜测：若f（z）∈D，g（z）∈S，则（f＊g）（t）∈S^＊。本文利用单叶函数的星形半径证明了Ruscheweyh乘数猜测在一些特殊情况下是成立的。
|
| 关 键 词： | 星形半径 单叶函数 Ruscheweyh 乘数猜测 |
Some Results on Ruscheweyh Multiplier Conjecture |
| |
| ZHANG Xiao-ping,HE Jian-jun,YE Zhong-qiu.Some Results on Ruscheweyh Multiplier Conjecture[J].Jiangxi Science,2008,26(3):359-361. |
| |
| Authors: | ZHANG Xiao-ping HE Jian-jun YE Zhong-qiu |
| |
| Institution: | ZHANG Xiao-ping ,HE Jian-jun ,YE Zhong-qiu (1. College of Applied Science,Jiangxi University of Science and Technology,Jiangxi Ganzhou 341000 PRC; 2. Institute of Mathematics and Informatics, Jiangxi Normal University, Jiangxi Nanchang 330027 PRC) |
| |
| Abstract: | Ruscheweyh conjectured that if f（z）∈D,g（z）∈S,then （f＊ g） （z） ∈S^＊. We prove that Ruscheweyh＇ s Multiplier conjecture is true in some special conditions by using the radius of starlikeness of partical sums of univalent functions. |
| |
| Keywords: | The radius of starlikeness Univalent functions Ruscheweyh's Multiplier conjecture |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
