摘要
研究了高阶亚纯函数系数非齐次线性微分方程f(k)+Ak-1f(k-1)+…+A0f=Q·exp{E(z)}解的超级和二级不同零点收敛指数,在假设其系数满足一定的条件下,得到方程解的超级和二级不同零点收敛指数的精确估计。
In this paper, the hyper-order and the hyper-exponent of convergence of the distinct zeros of solutions of higher order non-homogeneous linear differential equations with meromorphic coefficients f (k) +A k-1 f (k-1) +...+A 0f=Q·exp{E(z)} are studied. When the coefficients satisfy some conditions,the precise estimates of the solutions of the equation are obtained.
出处
《江西农业大学学报》
CAS
CSCD
2003年第6期962-965,共4页
Acta Agriculturae Universitatis Jiangxiensis
基金
江西农业大学科研基金资助项目
关键词
亚纯函数
微分方程
超级
二级不同零点收敛指数
meromorphic
function
differential equation
hyper-order
hyper-exponent of convergence of distinct zeros
