| A refinement about estimation of expansion coefficients for normalized biholomorphic mappings |
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| 作者姓名： | LIU Taishun & LIU Xiaosong |
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| 作者单位： | LIU Taishun & LIU Xiaosong Department of Mathematics，University of Science and Technology of China，Hefei 230026，China |
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| 基金项目： | 国家重点基础研究发展计划(973计划) |
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| 摘 要： | A refining estimation of homogeneous expansion for / is discussed, where f belongs to a subclass of all normalized biholomorphic mappings defined on the unit polydisk in Cn or the unit ball in complex Banach spaces, and x = 0 is a zero of order k 1 of f(x)-x. Moreover, an estimation of homogeneous expansion for subordinate mappings defined on the unit ball in complex Banach spaces is also given.
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| 收稿时间： | 5 January 2004 |
A refinement about estimation of expansion coefficients for normalized biholomorphic mappings |
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| LIU Taishun & LIU Xiaosong.A refinement about estimation of expansion coefficients for normalized biholomorphic mappings[J].Science in China(Mathematics),2005,48(7):865-879. |
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| Authors: | Liu Taishun LIU Xiaosong |
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| Institution: | Department of Mathematics, University of Science and Technology of China, Hefei 230026, China |
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| Abstract: | A refining estimation of homogeneous expansion for / is discussed, where f belongs to a subclass of all normalized biholomorphic mappings defined on the unit polydisk in Cn or the unit ball in complex Banach spaces, and x = 0 is a zero of order k 1 of f(x)-x. Moreover, an estimation of homogeneous expansion for subordinate mappings defined on the unit ball in complex Banach spaces is also given. |
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| Keywords: | de Branges theorem refining estimation of homogeneous expansion almost starlike mapping of order a starlike mapping of order a subordinate mapping |
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