| 与其导数具有分担值的亚纯函数唯一性 |
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| 引用本文： | 陶毅翔.与其导数具有分担值的亚纯函数唯一性[J].纯粹数学与应用数学,2014(1):84-92. |
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| 作者姓名： | 陶毅翔 |
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| 作者单位： | 宁德师范学院数学系,福建 宁德352100 |
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| 摘 要： | 为进一步丰富亚纯函数唯一性理论,寻求更佳的唯一性条件,利用亚纯函数Nevanlinna理论更精确地估计亚纯函数的n重值点的计数函数,得到两个亚纯函数与其导数具有某些分担值时的唯一性定理,推广和改进了相关文献的相关结果.
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| 关 键 词： | 亚纯函数 分担值 唯一性 |
Uniqueness of meromorphic functions that share some values with their derivatives |
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| Tao Yixiang.Uniqueness of meromorphic functions that share some values with their derivatives[J].Pure and Applied Mathematics,2014(1):84-92. |
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| Authors: | Tao Yixiang |
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| Institution: | Tao Yixiang (Department of Mathematics of Ningde Normal University, Ningde 352100, China) |
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| Abstract: | In this paper, we try to enrich the uniqueness theory of meromorphic functions and find better conditions of uniqueness. Using Nevanlinna theory of meromorphic functions, we estimate more accurately the counting function of the point with n multiplicities. Then two uniqueness theorems of meromorphic functions that share some values with their derivatives are obtained, which generalize and improve some relevant results of the reference. |
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| Keywords: | meromorphic function sharing value uniqueness |
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