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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 被引量:2

The uniqueness of meromorphic functions of the differential or differential polynomial with the weakly weighed sharing value
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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.
作者 林珊华 林伟川 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)
出处 《福州大学学报(自然科学版)》 CAS 北大核心 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)
关键词 差分多项式 权弱分担 亚纯函数 唯一性 difference polynomials weakly weighted sharing meromorphic functions uniqueness theorems
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