| 亚纯函数差分的亏量与值分布 |
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| 引用本文： | 王品玲,刘丹,方明亮. 亚纯函数差分的亏量与值分布[J]. 数学学报, 2016, 59(3): 357-362 |
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| 作者姓名： | 王品玲 刘丹 方明亮 |
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| 作者单位： | 1. 上海立信会计学院数学与信息学院 上海 201620;2. 华南农业大学应用数学研究所 广州 510642 |
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| 基金项目： | 国家自然科学基金资助项目(11371149) |
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| 摘 要： | 研究亚纯函数差分的亏量与值分布,证明了:设c是一个非零有穷复数,f(z)是复平面C上的超越整函数,n是一个正整数.若△_c~nf(z)≠0,则或者f(z)取每个有穷复数无穷多次,或者△_c~nf(z)取每个非零有穷复数无穷多次.
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| 关 键 词： | 亚纯函数 亏量 值分布 差分 |
The Deficiency and Value Distribution of Meromorphic Functions Concerning Difference |
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| Pin Ling WANG,Dan LIU,Ming Liang FANG. The Deficiency and Value Distribution of Meromorphic Functions Concerning Difference[J]. Acta Mathematica Sinica, 2016, 59(3): 357-362 |
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| Authors: | Pin Ling WANG Dan LIU Ming Liang FANG |
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| Affiliation: | 1. School of Mathematical and Information, Shanghai Lixin University of Commerce, Shanghai 201620, P. R. China;2. Institute of Applied Mathematics, South China Agricultural University, Guangzhou 510642, P. R. China |
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| Abstract: | The paper studied the deficiency and value distribution of meromorphic functions concerning difference.We mainly proved:let c be a nonzero finite complex number,let f(z) be a transcendental entire function in C,and let n be a positive integer.If Δcnf(z)≠0,then either f(z) takes on every complex value infinitely often,or Δcnf(z) takes on every non-zero complex value infinitely often. |
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| Keywords: | meromorphic function deficiency value distribution difference |
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