一类高阶复微分方程解的增长性的估计
The Estimation of Growth of Solutions of a Class of Higher Order Complex Differential Equations
DOI: 10.12677/PM.2017.76058, PDF, HTML, XML, 下载: 1,386  浏览: 4,272  国家自然科学基金支持
作者: 覃智高, 龙见仁：贵州师范大学，数学科学学院，贵州 贵阳
关键词: 复微分方程；整函数；下级；超级；无穷级；Complex Differential Equations； Entire Function； Lower Order； Higher Order； Infinite Order
摘要: 本文利用亚纯函数的Nevanlinna理论研究了高阶复微分方程解的增长性，得到了方程解的增长性的一些估计，这些结果推广了已有的结果。
Abstract: We study the growth of solutions of higher order complex differential equations by using Nevanlinna theory of meromorphic functions. Some estimations of growth of solutions of the equation are obtained which are improvements of previous results.
文章引用：覃智高, 龙见仁. 一类高阶复微分方程解的增长性的估计[J]. 理论数学, 2017, 7(6): 447-453. https://doi.org/10.12677/PM.2017.76058

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