理论数学

Vol.4 No.3 (May 2014)

线性微分方程亚纯解的零点和增长级的定量估计
Quantitative Estimations on Zeros and Growths of Meromorphic Solutions of Linear Differential Equations

 

作者:

黄 惠 , 陈宗煊 :华南师范大学数学科学学院,广州

 

关键词:

线性微分方程亚纯函数超级二级收敛指数Linear Differential Equation Meromorphic Functions Hyper-Order Hyper-Exponent of Convergence

 

摘要:

本文研究了高阶齐次和非齐次线性微分方程无穷极亚纯解的增长性问题,使方程的零点和增长性得到了精确估计。

In this paper, we investigate the growth of linear order meromorphic solution of higher order homogeneous and no-homogeneous linear differential equation, and we obtain some precise estimates for their zeros and hyper-orders.


文章引用:

黄 惠 , 陈宗煊 (2014) 线性微分方程亚纯解的零点和增长级的定量估计。 理论数学, 4, 84-94. doi: 10.12677/PM.2014.43013

 

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