摘要
运用Nevanlinna值分布的理论,研究了一类整函数系数的高阶线性微分方程的解以及它们的一阶、二阶导数与小函数的关系,得到如下结论:由于受微分方程的控制,该方程的非零解及其一阶、二阶导数取小函数的超级收敛指数与解的超级相同.
The Nevanlinna＇s theory is applied to investigate the relation between solutions, their 1st and 2ed derivatives of a class of higher order linear differential equations with functions of small growth. The following conclusions are obtained that the hyper exponents of convergence of the sequence of the points, as solutions and their 1 st, 2ed derivatives taking functions of small growth, is equal to the hyper order of nontrivial solutions of complex equations because of the control of differential equations.
出处
《华南师范大学学报（自然科学版）》
CAS
2008年第3期29-33,共5页
Journal of South China Normal University(Natural Science Edition)
基金
国家自然科学基金资助项目(10471048)
高等学校博士学科点专项科研基金项目(20050574002)
关键词
线性微分方程
收敛指数
小函数
整函数
linear differential equation
exponent of convergence
function of small growth
entire function
