涉及差分与平移的亚纯函数的有理函数的收敛指数
The Exponents of Convergence of Rational Functions of Meromorphic Functions Concerning Differences and Shifts
DOI: 10.12677/PM.2020.109095, PDF, HTML, 下载: 557  浏览: 903  国家自然科学基金支持
作者: 杨世伟, 杨德贵*：华南农业大学应用数学研究所，广东 广州
关键词: 亚纯函数；差分；平移；收敛指数；Meromorphic Functions； Differences； Shifts； The Exponent of Convergence
摘要: 设c是一个非零有穷复数， f是一个有穷级超越亚纯函数， R是一个非常数有理函数, 本文研究f(z)−R(z),f(z+c)−R(z)及∆cf(z)−R(z)的零点收敛指数与f的级之间的关系。 由此推广了Chen, Zhang-Chen, Chen-Zheng等人的结果。
Abstract: Let c be a nonzero finite complex number, let f be a transcendental meromorphic function of finite order, and let R be a nonconstant rational function. It is studied that the relationship between the exponent of convergence of zeros of f(z)−R(z), f(z+c)−R(z), and ∆cf(z)−R(z) and the order of f . This improves the results of Chen,Zhang-Chen and Chen-Zheng.
文章引用：杨世伟, 杨德贵. 涉及差分与平移的亚纯函数的有理函数的收敛指数[J]. 理论数学, 2020, 10(9): 826-836. https://doi.org/10.12677/PM.2020.109095

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