| 一类亚纯函数系数线性微分方程亚纯解的增长级 |
| |
| 引用本文： | 黄志刚.一类亚纯函数系数线性微分方程亚纯解的增长级[J].数学物理学报(A辑),2010,30(4):1071-1079. |
| |
| 作者姓名： | 黄志刚 |
| |
| 作者单位： | 苏州科技学院数学系,江苏苏州,215009 |
| |
| 基金项目： | 江苏省高校自然科学研究项目 |
| |
| 摘 要： | 该文讨论了齐次线性微分方程f~(k)+A_(k-1)f~(k-1)+…+Aof=0,k≥2的解的增长级,其中方程的系数为至多有有限多个极点的亚纯函数,在一定条件下,得到了方程亚纯解的精确估计,这也是Gundersen、陈宗煊和高仕安等人在整函数系数下结果的推广.
|
| 关 键 词： | 线性微分方程 亚纯函数 增长级 极点 |
| 收稿时间： | 2008-12-15 |
| 修稿时间： | 2010-01-20 |
On the Orders of Growth of Meromorphic Solutions of Certain Linear Differential Equations with Meromorphic Coefficients |
| |
| HUANG Zhi-Gang.On the Orders of Growth of Meromorphic Solutions of Certain Linear Differential Equations with Meromorphic Coefficients[J].Acta Mathematica Scientia,2010,30(4):1071-1079. |
| |
| Authors: | HUANG Zhi-Gang |
| |
| Institution: | Department of Mathematics, Suzhou University of Science and Technology, Jiangsu Suzhou 215009 |
| |
| Abstract: | In this paper, the author investigates the orders of the solutions of the differential equation
f (k)+Ak-1f (k-1)}+…+A0f =0, k≥2
where the coefficients A0, …, Ak-1 are meromorphic functions with at most finitely many poles. Under some conditions, some estimates of the orders of the solutions for the equation are obtained, which are improvements of related results given by Gunderson, Chen and Gao. |
| |
| Keywords: | Linear differential equationzz Meromorphic functionszz Orderszz Poleszz |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《数学物理学报(A辑)》浏览原始摘要信息 |
| 点击此处可从《数学物理学报(A辑)》下载免费的PDF全文 |
|
