| 多复变数的抛物星形映射 |
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| 引用本文： | 冯淑霞,张晓飞,陈慧勇.多复变数的抛物星形映射[J].数学学报,2011(3):467-482. |
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| 作者姓名： | 冯淑霞 张晓飞 陈慧勇 |
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| 作者单位： | 河南大学现代数学研究所;河南大学数学与信息科学学院 |
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| 基金项目： | 国家自然科学基金资助项目(11001074,11061015);河南省高等学校青年骨干教师资助计划项目 |
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| 摘 要： | 本文给出了抛物星形映射,ρ次的抛物星形映射,抛物形β型螺形映射和ρ次的抛物形β型螺形映射的定义.证明了推广的Rope-Suffridge算子保持这些映射的几何性质不变.
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| 关 键 词： | 抛物星形映射 抛物形β型螺形映射 推广的Rope-Suffridge算子 |
Parabolic Starlike Mappings in Several Complex Variables |
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| Shu Xia FENG Xiao Fei ZHAGN Hui Yong CHEN.Parabolic Starlike Mappings in Several Complex Variables[J].Acta Mathematica Sinica,2011(3):467-482. |
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| Authors: | Shu Xia FENG Xiao Fei ZHAGN Hui Yong CHEN |
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| Institution: | Shu Xia FENG Xiao Fei ZHAGN Hui Yong CHEN Institute of Contemporary Mathematics,He’nan University,Kaifeng 475004,P.R.China School of Mathematics and Information Science,He ’nan University, Kaifeng 475004,P.R.China |
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| Abstract: | We will give the definitions of parabolic starlike mappings,parabolic starlike mappings of orderρ,parabolic and spirallike mappings of typeβ,parabolic and spirallike mappings of typeβand orderρ.Moreover we will prove that the generalized Rope-Suffridge extension operator can preserve these properties. |
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| Keywords: | parabolic starlike mappings parabolic and spirallike mappings of typeβ |
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