| 关于整函数与其导数分担值或小函数的若干注记 |
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| 引用本文： | 袁文俊,肖冰,戚建明.关于整函数与其导数分担值或小函数的若干注记[J].广州大学学报(自然科学版),2014(6):1-4. |
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| 作者姓名： | 袁文俊 肖冰 戚建明 |
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| 作者单位： | 广州大学数学与信息科学学院/数学与交叉科学广东普通高校重点实验室;新疆师范大学数学科学学院;上海电机学院数理系; |
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| 基金项目： | partly supported by the NSF(11271090,11171184,11001057);the Tianyuan Youth Fund of the NSF of China(11326083);Shanghai University Young Teacher Training Program(ZZSDJ12020);Innovation Progrom of Shanghai Municipal Education Commission(14YZ164);the NSF of Guangdong Province(S2012010010121);Projects13XKJ01 from the Leading Academic Discipline Project of Shanghai Dianji University;the Visiting Scholar Program of Department of Mathematics and Statistics at Curtin University of Technology |
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| 摘 要： | 考虑涉及分担值或小函数的整函数与其导函数的惟一性问题.作者给出一个充分条件,即该整函数的n阶导函数与n＋1阶导函数CM分担一个非零有限值.还给出文献LI S,et al,Ann Polon Math,2012（104）：1-11]中定理2.2的正确表述形式以及定理2.2,3.1和定理4.1的证明改正.
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| 关 键 词： | Nevanlinna亏量 CM分担值 小函数 |
Some remarks on the entire functions that share values or small functions with their derivatives |
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| Institution: | YUAN Wen-jun,XIAO Bing,Ql Jian-ming( 1. School of Mathematics and Information Sciences/Key Laboratory of Mathematics and Interdisciplinary Sciences of Guangdong Higher Education Institutes, Guangzhou University, Guangzhou 510006, China; 2. School of Mathematics Sciences, Xinjiang Normal University, Urumqi 830054, China; 3. Department of Mathematics and Physics, Shanghai Dianji University, Shanghai 201306, China) |
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| Abstract: | In the paper,the uniqueness of entire functions with their derivatives concerning shared values or small functions is studied.A sufficient condition which is of the n-th order derivative of an entire function sharing one nonzero finite value CM with its（n ＋ 1）-th order derivative is obtained.The correct form of Theorem2.2 and revise the proofs of Theorem 2.2,Theorem 3.1 and Theorem 4.1 inLI S,et al,Ann Polon Math,2012（104）：1-11]is also obtained. |
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| Keywords: | Nevanlinna deficiency shared value CM small function |
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