整函数及其k阶导函数的唯一性  

ON UNIQUENESS FOR ENTIRE FUNCTIONS AND THEIR k-TH DERIVATIVES

作　　者：吴春[1] 李江涛[2] 

机构地区：[1]重庆师范大学数学与计算机科学学院,重庆400047 [2]重庆大学数理学院,重庆400030

出　　处：《数学杂志》2008年第5期565-570,共6页Journal of Mathematics

摘　　要：本文研究了整函数及其k阶导函数的唯一性问题.利用正规族理论,证明了整函数及k阶导出数是等价的.改进和推广了Mues,Steinmstz,李江涛以及仪洪勋等人的有关结果.In this paper, we study the uniqueness problem for entire functions and their k-th derivatives. By using the theory of normal families, under the condition of sharing the finite values, it is proved that entire functions and their k-th derivatives is equivalent. The results generalize and improve some related results given by Mues, Steinmstz, and Li Jiang-tao, Yi Hong-xun, etc.

关 键 词：整函数 亚纯函数 正规族 唯一性 

分 类 号：O174.5[理学—数学]