| 张晓飞,冯淑霞.$\mathbb{C}^n$中单位球上$\rho$次抛物星形映射的一些估计[J].数学年刊A辑,2013,34(2):147~160 |
| $\mathbb{C}^n$中单位球上$\rho$次抛物星形映射的一些估计 |
| Some Estimations for Parabolic Starlike Mappings of Order $\rho$ on the UnitBall in $\mathbb{C}^n$ |
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| DOI： |
| 中文关键词: $\rho$次抛物星形映射, 增长定理, 掩盖定理, 齐次展开式 |
| 英文关键词:Parabolic starlike mapping of order $\rho$,
Growth theorem, Covering theorem, Homogeneous expansion |
| 基金项目:国家自然科学基金 (No.11001074, No.11061015, No.11101124)和河南省高等学校青年骨干教师资助计划 |
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| 中文摘要: |
| 主要研究了$\mathbb{C}^n$中单位球$B^{n}$上$\rho \ (\rho \in [0,1))$次抛物星形映射的一些几何性质, 给出了该映射类的增长定理和掩盖定理, 及其齐次展开式中二次项的一些估计. |
| 英文摘要: |
| In this paper, several geometric properties of parabolic
starlike mappings of order $\rho$ ($\rho\in[0, 1)$) are studied.
More precisely, the authors prove the growth and the covering theorems
for parabolic starlike mappings of order $\rho$ on the unit ball $B^n$ in $\mathbb{C}^n$, and
give some estimations for the second item of the mappings' homogeneous expansion. |
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