Sharp distortion theorems for a subclass of close-to-convex mappings |
| |
| Authors: | Qinghua Xu Taishun Liu Xiaosong Liu |
| |
| Institution: | 1. College of Mathematics and Information Science, Jiangxi Normal University, Nanchang 330022, China; 2. Department of Mathematics, Huzhou Teachers College, Huzhou 313000, China; 3. School of Mathematics and Computation Science, Zhanjiang Normal University, Zhanjiang 524048, China |
| |
| Abstract: | We introduce the class of strongly close-to-convex mappings of order α in the unit ball of a complex Banach space, and then, we give the sharp distortion theorems for this class of mappings in the unit ball of a complex Hilbert space X or the unit polydisc in ?n. As an application, a sharp growth theorem for strongly close-to-convex mappings of order α is obtained. |
| |
| Keywords: | Distortion theorem growth theorem strongly close-to-convexmappings of order α |
| 本文献已被 维普 SpringerLink 等数据库收录！ |
| 点击此处可从《Frontiers of Mathematics in China》浏览原始摘要信息 |
| 点击此处可从《Frontiers of Mathematics in China》下载免费的PDF全文 |
