| 单位圆盘内代数体函数的唯一性定理 |
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| 引用本文： | 刘慧芳,孙道椿.单位圆盘内代数体函数的唯一性定理[J].东北数学,2008,24(6):511-520. |
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| 作者姓名： | 刘慧芳 孙道椿 |
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| 作者单位： | |
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| 基金项目： | 国家自然科学基金，the Research Fund，the Doctoral Program of Higher Education |
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| 摘 要： | In this paper, the uniqueness of algebroidal functions in the unit disc is investigated. Suppose that W（z） and M（z） are v-valued and k-valued algebroidal functions in the unit disc, respectively. Let e^iθ be a b-cluster point of order co or order ρ（x） of the algebroidal function W（z） or M（z）. It is shown that if -↑E（aj, W（z）） = -↑E（aj,M（z）） holds in the domain {｜z｜ 〈 1}∩Ω（θ-δ,θ＋δ）, where b, aj （j = 1,…, 2v ＋ 2k ＋ 1） are complex constants, then W（z） = M（z）. The same results are obtained for the case that e^iθ is a Borel point of order co or order ρ（x） of the algebroidal function W（z） or M（z）.
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| 关 键 词： | 代数函数 唯一性定理 光盘 代数体函数 BOREL点 电子商务 厦门 塞尔 |
Uniqueness Theorem of Algebroidal Functions in the Unit Disc |
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| LIU Hui-fang,SUN Dao-chun.Uniqueness Theorem of Algebroidal Functions in the Unit Disc[J].Northeastern Mathematical Journal,2008,24(6):511-520. |
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| Authors: | LIU Hui-fang SUN Dao-chun |
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| Institution: | [1]School of Mathematical Sciences, South China Normal University, Guangzhou, 510681 [2]Institute of Mathematics and Information, Jiangxi Normal University, Nanchang, 330027 |
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| Abstract: | In this paper, the uniqueness of aigebroidai functions in the unit disc is investigated. Suppose that W(z) and M(z) are v-valued and k-valued aigebroidal functions in the unit disc, respectively. Let eiθ be a b-clnster point of order ∞ or order p(x) of the aigebroidal function W(z) or M(z). It is shown that if E(aj, W(z)) =are obtained for the case that eiθ is a Borel point of order ∞ or order p(x) of the algebroidal function W(z) or M(z). |
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| Keywords: | algebroidal function order uniqueness |
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