| 涉及导数与差分的亚纯函数唯一性 |
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| 引用本文： | 王品玲,方明亮.涉及导数与差分的亚纯函数唯一性[J].数学学报,2020,63(2):171-180. |
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| 作者姓名： | 王品玲 方明亮 |
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| 作者单位： | 1.上海立信会计金融学院统计与数学学院 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： | 设f,g是两个非常数亚纯函数,a是一个非零有穷复数,n≥5是一个正整数.若f(z)]~n与g(z)]~n CM分担a,f(z)与g(z) CM分担∞,且N_(1))(r,f)=S(r,f),则或者f(z)三tg(z),其中t~n=1;或者f(z)g(z)≡t,其中t~n=a~2.由此改进了涉及导数与差分的一些亚纯函数唯一性的结果.
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Unicity of Meromorphic Functions Concerning Derivatives and Differences |
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| Pin Ling WANG,Ming Liang FANG.Unicity of Meromorphic Functions Concerning Derivatives and Differences[J].Acta Mathematica Sinica,2020,63(2):171-180. |
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| Authors: | Pin Ling WANG Ming Liang FANG |
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| Institution: | 1.School of Statistics and Mathematics, Shanghai Lixin University of Accounting and Finance, Shanghai 201620, P. R. China;2.Institute of Applied Mathematics, South China Agricultural University, Guangzhou 510642, P. R. China |
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| Abstract: | Let f, g be two nonconstant meromorphic functions, let a be a nonzero finite complex number, and let n ≥ 5 be a positive integer. Iff(z)]n andg(z)]n share a CM, f(z) and g(z) share ∞ CM, and N1)(r, f)=S(r, f), then either f(z) ≡ tg(z), where tn=1, or f(z)g(z) ≡ t, where tn=a2. This improves some unicity results concerning derivatives and differences of meromorphic functions. |
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| Keywords: | Meromorphic functions derivatives differences unicity |
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