| ON THE EXISTENCE OF SINGULAR DIRECTIONS OF HOLOMORPHIC MAPS FROM THE UNIT DISK INTO Pn（C） |
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| 引用本文： | 涂振汉,张莎莎.ON THE EXISTENCE OF SINGULAR DIRECTIONS OF HOLOMORPHIC MAPS FROM THE UNIT DISK INTO Pn（C）[J].数学物理学报(B辑英文版),2010(5):1631-1639. |
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| 作者姓名： | 涂振汉 张莎莎 |
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| 作者单位： | School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China |
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| 基金项目： | The project supported in part by the National Natural Science Foundation of China （10971156）. |
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| 摘 要： | This article proves the existence of Julia directions of value distribution of holomorphic mapping f from the unit disk into the n-dimensional complex projective space P n(C) under the assumption lim sup r→1-T(r,f)/log 1/1-r=+∞ for hypersurfaces in general position.A heuristic principle concerning the existence of Julia directions of holomorphic mappings from the unit disk into P n(C) is given also.
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| 关 键 词： | 全纯映射 单位圆盘 奇异方向 Julia方向 作者 启发式 射影 n维 |
ON THE EXISTENCE OF SINGULAR DIRECTIONS OF HOLOMORPHIC MAPS FROM THE UNIT DISK INTO Pn(C) |
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| Tu Zhenhan Zhang Shasha.ON THE EXISTENCE OF SINGULAR DIRECTIONS OF HOLOMORPHIC MAPS FROM THE UNIT DISK INTO Pn(C)[J].Acta Mathematica Scientia,2010(5):1631-1639. |
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| Authors: | Tu Zhenhan Zhang Shasha |
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| Institution: | Tu Zhenhan Zhang Shasha (School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China) |
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| Abstract: | complex projective spaces holomorphic mapping Julia direction Picard＇s theorem value distribution theory |
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| Keywords: | complex projective spaces holomorphic mapping Julia direction Picard＇s theorem value distribution theory |
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