关于整函数与其导数分担值或小函数的若干注记（英文）  

Some remarks on the entire functions that share values or small functions with their derivatives

作　　者：袁文俊[1] 肖冰[2] 戚建明[3] 

机构地区：[1]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,广东广州510006 [2]新疆师范大学数学科学学院,新疆乌鲁木齐830054 [3]上海电机学院数理系,上海201306

出　　处：《广州大学学报（自然科学版）》2014年第6期1-4,共4页Journal of Guangzhou University:Natural Science Edition

基　　金：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

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.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 in[LI S,et al,Ann Polon Math,2012（104）：1-11]is also obtained.

关 键 词：Nevanlinna亏量 CM分担值 小函数 

分 类 号：O175.4[理学—数学]