| The Study for Some Subclasses of Biholomorphic Mappings by an Unified Method |
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| 作者姓名： | XU Qing-hua LIU Tai-shun |
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| 作者单位： | [1]Department of Mathematics, University of Science and Technology of China, Hefei 230026, China [2]Department of Mathematics, Huzhou Teacher＇s College, Huzhou 313000, China |
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| 基金项目： | Supported by NNSF of China(10571164)，Supported by SRFDP of Higher Education(20050358052) |
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| 摘 要： | LetΩ∈Cn be a bounded starlike circular domain with 0∈Ω. In this paper, we introduce a class of holomorphic mappings Mg onΩ. Let f(z) be a normalized locally biholomorphic mapping onΩsuch that Jf-1(z)f(z)∈Mg and z=0 is the zero of order k + 1 of f(z)-z. We obtain the growth and covering theorems for f(z). Especially, as corollaries, we unify and generalize many known results. Moreover, in view of proofs of corollaries, the essential relations among the subclasses of starlike mappings are shown.
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| 关 键 词： | 生长遮盖定理 星形映射 有界 循环域 |
The Study for. Some Subclasses of Biholomorphic Mappings by an Unified Method |
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| XU Qing-hua,LIU Tai-shun.The Study for Some Subclasses of Biholomorphic Mappings by an Unified Method[J].Chinese Quarterly Journal of Mathematics,2006,21(2):166-175. |
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| Authors: | XU Qing-hua LIU Tai-shun |
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| Abstract: | |
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| Keywords: | growth and covering theorem starlike mapping subclasses of starlike mappings zero of order k +1 |
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