| $mathbb{C}^n$中单位球上$rho$次抛物星形映射的一些估计 |
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| 引用本文： | 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(中文版), 2013, 34(2): 147-160 |
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| 作者姓名： | 张晓飞 冯淑霞 |
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| 作者单位： | 中国科学技术大学数学科学学院, 合肥 230026;河南大学现代数学研究所,数学与信息科学学院, 河南~ 开封 475004. |
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| 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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| 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.
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| 关 键 词： | $rho$次抛物星形映射 增长定理 掩盖定理 齐次展开式 |
Some Estimations for Parabolic Starlike Mappings of Order $rho$ on the UnitBall in $mathbb{C}^n$ |
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| ZHANG Xiaofei and FENG Shuxia. Some Estimations for Parabolic Starlike Mappings of Order $rho$ on the UnitBall in $mathbb{C}^n$[J]. Chinese Annals of Mathematics, 2013, 34(2): 147-160 |
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| Authors: | ZHANG Xiaofei and FENG Shuxia |
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| Affiliation: | School of Mathematical Sciences, University of Science and Technology ofChina, Hefei 230026, China.;Institute of Contemporary Mathematics, School of Mathematics and Informa-tion Science, Henan University, Kaifeng 475004, Henan, China. |
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| Abstract: | In this paper, several geometric properties of parabolicstarlike mappings of order $rho$ ($rhoin[0, 1)$) are studied.More precisely, the authors prove the growth and the covering theoremsfor 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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| Keywords: | Parabolic starlike mapping of order $rho$ Growth theorem Covering theorem Homogeneous expansion |
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