| 涉及导数与差分分担值的唯一性问题 |
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| 引用本文： | 邓炳茂,曾翠萍,刘丹,方明亮.涉及导数与差分分担值的唯一性问题[J].数学学报,2019,62(5):709-720. |
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| 作者姓名： | 邓炳茂 曾翠萍 刘丹 方明亮 |
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| 作者单位： | 1. 广东金融学院金融数学与统计学院 广州 510521;
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： | 国家自然科学基金青年资助项目（11701188） |
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| 摘 要： | 本文研究了有穷级亚纯函数的导数及其差分分担值的唯一性问题,主要证明了以下结论:如果f′与△_cfCM分担a,b,∞,则f′≡△_cf.该结论解决了Qi等人在2018年提出的问题.
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| 关 键 词： | 亚纯函数 差分 分担值 |
Unicity of Mermorphic Functions Concerning Their Derivatives and Difference |
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| Bing Mao DENG,Cui Ping ZENG,Dan LIU,Ming Liang FANG.Unicity of Mermorphic Functions Concerning Their Derivatives and Difference[J].Acta Mathematica Sinica,2019,62(5):709-720. |
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| Authors: | Bing Mao DENG Cui Ping ZENG Dan LIU Ming Liang FANG |
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| Institution: | 1. School of Financial Mathematics and Statistics, Guangdong University of Finance, Guangzhou 510521, P. R. China;
2. Institute of Applied Mathematics, South China Agricultural University, Guangzhou 510642, P. R. China |
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| Abstract: | In this paper, we investigate a uniqueness of meromorphic functions with finite order concerning their derivative and difference and obtain one result that if f' and Δcf share a, b,∞ CM, then f' ≡ Δcf. This result confirms the problem of Qi et al. in 2018. |
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| Keywords: | meromorphic function difference sharing value |
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