标题:
高阶线性微分方程解与其小函数的关系The Relation between Solutions of Higher Order Linear Differential Equations and Functions of Small Growth
作者:
金瑾
关键字:
线性微分方程, 整函数, 小函数, 收敛指数Linear Differential Equations; Entire Function; Small Function; Exponent of Convergence
期刊名称:
《Pure Mathematics》, Vol.2 No.3, 2012-07-27
摘要:
本文研究了高阶线性齐次微分方程
解的增长性,其中
是整函数,,为非零复常数,得到了方程解的一阶导数,二阶导数,微分多项式与小函数之间的关系。
In this paper, the growth of solutions of higher order linear differential equation is investigates,
in the were entire functions, , are non-zero constant obtains their 1st, 2nd derivatives, differential polynomial of differential equations with function of small growth.