亚纯函数线性差分多项式的值分布
Value Distribution of Linear Difference Polynomial of Meromorphic Function
DOI: 10.12677/PM.2021.117145, PDF,    国家自然科学基金支持
作者: 吴励敏, 杨德贵*：华南农业大学，应用数学研究所，广东 广州；邓炳茂：广东金融学院，金融数学与统计学院，广东 广州
关键词: 亏量；差分多项式；值分布；Deficiency； Difference Polynomial； Value Distribution
摘要: 本文利用了亚纯函数的Nevanlinna理论的差分模拟，研究了亚纯函数的线性差分多项式的值分布，得到了具有最大亏量和的亚纯函数与其线性差分多项式的特征函数之间的关系，得到的结果推广了现有的相关结果。
Abstract: The paper uses the difference counterpart of the Nevanlinna theory of meromorphic functions to study the value distribution of the linear difference polynomial of the meromorphic function, and obtains the difference between the characteristic function of the meromorphic function with the largest deficit sum and the characteristic function of the linear difference polynomial relationship. The results obtained generalize the existing related results.
文章引用：吴励敏, 邓炳茂, 杨德贵. 亚纯函数线性差分多项式的值分布[J]. 理论数学, 2021, 11(7): 1299-1308. https://doi.org/10.12677/PM.2021.117145

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