| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 470926 | Computers & Mathematics with Applications | 2010 | 7 Pages |
Abstract
Let XX be a complex Banach space with norm ‖⋅‖‖⋅‖, and BB be the unit ball in XX. In this paper, we introduce a class of holomorphic mappings MgMg on BB. Let F(x)F(x) be a normalized locally biholomorphic mapping on BB such that (DF(x))−1F(x)∈Mg(DF(x))−1F(x)∈Mg. We investigate the sharp growth theorem for F(x)F(x). As applications, the sharp distortion theorems for a subclass of starlike mappings are obtained.
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Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Qing-Hua Xu, Tai-Shun Liu,