| 涉及导函数的亚纯函数的唯一性 |
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| 引用本文： | 张庆彩. 涉及导函数的亚纯函数的唯一性[J]. 数学学报, 2002, 45(5): 871-876. DOI: cnki:ISSN:0583-1431.0.2002-05-005 |
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| 作者姓名： | 张庆彩 |
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| 作者单位： | 山东财政学院基础部,山东,济南,250014;浙江大学数学系,浙江,杭州,310027 |
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| 基金项目： | 国家自然科学基金资助项目（10171090） |
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| 摘 要： | 本文研究亚纯函数f与f＇具有两个公共值时的Frank问题,证明了若f与f＇以0为CM公共值,以有穷非零复数b为IM公共值,则f=f＇或f=2b/1-ce-2z,其中c为任一有穷非零复数.
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| 关 键 词： | 亚纯函数 整函数 公共值 |
| 文章编号： | 0583-1431(2002)05-0871-06 |
| 修稿时间： | 2001-03-22 |
Uniqueness of Meromorphic Functions with Their Derivatives |
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| Qing Cai ZHANG. Uniqueness of Meromorphic Functions with Their Derivatives[J]. Acta Mathematica Sinica, 2002, 45(5): 871-876. DOI: cnki:ISSN:0583-1431.0.2002-05-005 |
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| Authors: | Qing Cai ZHANG |
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| Affiliation: | Qing Cai ZHANG(Department of Mathematics, Zhejiang University, Hangzhou 310027, P. R. China) (Department of Basic Courses, Shandong Finance Institute, Jinan 250014, P. R. China) |
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| Abstract: | The purpose of this paper is to study a question of G. Prank concerning that meromorphic functions share two finite values with their derivatives, and the following result is proved: Let f be a nonconstant meromorphic function, b be a nonzero finite complex constant. If f and f' share 0 CM, and share b IM, then f=f' or f=2b/1-ce-2x, where c is a nonzero finite complex constant. |
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| Keywords: | Meromorphic function Entire function Shared value |
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