| 亚纯函数族涉及微分单项式分担移动靶的正规定则 |
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| 引用本文： | 米秋菊,黄斌. 亚纯函数族涉及微分单项式分担移动靶的正规定则[J]. 数学理论与应用, 2014, 0(1): 18-21 |
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| 作者姓名： | 米秋菊 黄斌 |
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| 作者单位： | 长沙理工大学数学与计算科学学院,长沙410114 |
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| 基金项目： | 国家自然科学基金资助项目（项目编号：11071064）;湖南省自然科学基金资助项目（项目编号：12jj3006） |
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| 摘 要： | 设a(z)是一个没有零点的整函数,k≥3是个整数,F是区域D上的亚纯函数族,对每一个f∈F至少有k重零点和2重极点.若对每一对f,g∈F有ff(k)与gg(k)IM分担a(z),则F在区域D内正规.
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| 关 键 词： | 亚纯函数 正规族 分担函数 |
Criteria for Normality of Families of Meromorphic Functions Involved with Moving Targets Shared by Differential Monomials |
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| Mi Qiuju Huang Bin. Criteria for Normality of Families of Meromorphic Functions Involved with Moving Targets Shared by Differential Monomials[J]. Mathematical Theory and Applications, 2014, 0(1): 18-21 |
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| Authors: | Mi Qiuju Huang Bin |
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| Affiliation: | Mi Qiuju Huang Bin (School of Mathematics and Computing Science, Changsha University of Scienceand Technology, Changsha 410114, China) |
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| Abstract: | Let a （z） be an entire function without zeros, k ≥ 3 be a positive integer, and F be a family of meromorphic functions on some field D, where the zero＇ s multiplicity of each function fin F is at least k and the pole＇s muhiplicity off is at least 2. If for each pairf, g ∈ F, ff（k） and gg（k） share a（z）, then F is normal on D. |
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| Keywords: | Meromorphic function Normal family Shared function |
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