具有权弱分担值的差分或微分多项式的亚纯函数的唯一性  

The uniqueness of meromorphic functions of the differential or differential polynomial with the weakly weighed sharing value

作　　者：林珊华[1] 林伟川[2] LIN Shanhua;LIN Weichuan(School of Mathematics and Computer Science, Quanzhou Normal University, Quanzhou, Fujian 362000, China;School of Mathematics and Computer Science, Fujian Normal University, Fuzhou, Fujian 350007, China)

机构地区：[1]泉州师范学院数学与计算机科学学院,福建泉州362000 [2]福建师范大学数学与计算机科学学院,福建福州350007

出　　处：《福州大学学报（自然科学版）》2018年第1期12-19,共8页Journal of Fuzhou University(Natural Science Edition)

基　　金：福建省中青年教师教育科研基金资助项目(JA15394);国家自然科学基金资助项目(11371225)

摘　　要：利用权弱分担的定义以及唯一性理论方法讨论亚纯函数的k阶导数与差分或微分多项式的k阶导数分担值的问题.分析结果表明,当分担"(1,m)"且Θ(∞,f)介于一定范围的情况下,两个函数的k阶导数相等,其中对应不同的m值,n,m需满足不同的不等式.We mainly use the definition of the weakly weighted sharing and the theory of uniqueness to discuss the problem that the k derivative of meromorphic function and the k derivative of the differential or differential polynomial share one value. The result is that k derivative of the two functions are equal when they share ＂ （ 1, m） ＂ and Θ（∞,f） is in a certain range, and different m value needs to satisfy different inequalities.

关 键 词：差分多项式 权弱分担 亚纯函数 唯一性 

分 类 号：O174.52[理学—数学]