涉及导数与差分的亚纯函数唯一性

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涉及导数与差分的亚纯函数唯一性王品玲¹, 方明亮²1 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 Unicity of Meromorphic Functions Concerning Derivatives and Differences Pin Ling WANG¹, Ming Liang FANG²1 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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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）≡ tg（z），其中tⁿ=1；或者f（z）g（z）≡ t，其中tⁿ=a².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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收稿日期: 2019-01-27

MR (2010):

O174.52

基金资助:国家自然科学基金资助项目（11371149）

作者简介: 王品玲,E-mail:wangpinling@lixin.edu.cn;方明亮,E-mail:mlfang@scau.edu.cn

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. Pin Ling WANG, Ming Liang FANG. Unicity of Meromorphic Functions Concerning Derivatives and Differences. Acta Mathematica Sinica, Chinese Series, 2020, 63(2): 171-180.

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