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
DOI: 10.12677/PM.2012.23025, PDF, HTML, 下载: 3,396  浏览: 10,996  科研立项经费支持
作者: 金 瑾*：贵州省毕节学院数学系
关键词: 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
摘要: 本文研究了高阶线性齐次微分方程
Abstract: 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.
文章引用：金瑾. 高阶线性微分方程解与其小函数的关系[J]. 理论数学, 2012, 2(3): 156-163. http://dx.doi.org/10.12677/PM.2012.23025

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