| 圆环中的亚纯函数及其导数在重值条件下的一个唯一性定理 |
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| 引用本文： | 徐俊峰,陈莉.圆环中的亚纯函数及其导数在重值条件下的一个唯一性定理[J].数学研究及应用,2016,36(4):467-476. |
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| 作者姓名： | 徐俊峰 陈莉 |
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| 作者单位： | 湖南大学数学与计量经济学院, 湖南 长沙 410082; 五邑大学数学与计算科学学院, 广东 江门 529020,五邑大学数学与计算科学学院, 广东 江门 529020 |
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| 基金项目： | 国家自然科学基金资助项目(Grant No.11126327),广东省自然科学基金资助项目(Grant Nos.2016A030313002; 2015A030313644),广东省高校优秀青年教师培养项目(Grant No.Yq2013159). |
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| 摘 要： | In this paper, we first obtain the famous Xiong Inequality of meromorphic functions on annuli. Next we get a uniqueness theorem of meromorphic function on annuli concerning to their multiple values and derivatives by using the inequality.
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| 关 键 词： | uniqueness theorem Nevanlinna value annuli meromorphic function |
| 收稿时间： | 2015/3/13 0:00:00 |
| 修稿时间： | 6/8/2016 12:00:00 AM |
A Unicity Theorem Related to Multiple Values and Derivatives of Meromorphic Functions on Annuli |
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| Junfeng XU and Li CHEN.A Unicity Theorem Related to Multiple Values and Derivatives of Meromorphic Functions on Annuli[J].Journal of Mathematical Research with Applications,2016,36(4):467-476. |
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| Authors: | Junfeng XU and Li CHEN |
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| Institution: | Department of Mathematics, Hunan University, Hunan 410082, P. R. China; Department of Mathematics, Wuyi University, Guangdong 529020, P. R. China and Department of Mathematics, Wuyi University, Guangdong 529020, P. R. China |
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| Abstract: | In this paper, we first obtain the famous Xiong Inequality of meromorphic functions on annuli. Next we get a uniqueness theorem of meromorphic function on annuli concerning to their multiple values and derivatives by using the inequality. |
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| Keywords: | uniqueness theorem Nevanlinna value annuli meromorphic function |
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