一类高阶微分方程亚纯解取小函数的收敛指数

上海交通大学学报（自然版） ›› 2016, Vol. 50 ›› Issue (04): 631-635.

一类高阶微分方程亚纯解取小函数的收敛指数

金瑾1,赵浩岚2

（1.贵州工程应用技术学院数学系; 毕节循环经济研究院，贵州毕节 551700; 2.上海金融学院国际经贸学院,上海 201209）

收稿日期:2015-03-17 出版日期:2016-04-28 发布日期:2016-04-28
基金资助:
贵州省科学技术基金项目 (2010GZ43286，2012GZ10526)，贵州省毕节市科研基金项目(［2011］02),贵州省教育厅重点科研基金项目（［2015］392）资助

Convergence Exponent of Small Function Points for Solutions of Higher Order Differential Equations

JIN Jin1,ZHAO Haolan2

(1. Department of Mathematics, Guizhou University of Engineering Science; Research Institute of Circular Economy of Bijie, Bijie 551700, Guizhou, China; 2. Shool of International Economics and Trade, Shanghai Finance University, Shanghai 201209, China)

Received:2015-03-17 Online:2016-04-28 Published:2016-04-28

摘要/Abstract

摘要： 摘要：研究了亚纯函数系数的高阶线性微分方程亚纯解取小函数的点的收敛指数问题,获得了线性微分方程亚纯解取小函数的点的收敛指数的精确估计.

关键词: 高阶线性微分方程, 收敛指数, 超级, 小函数, 二级收敛指数

Abstract: Abstract： In this paper, the problems of convergence between the zeros of the solution of higher order linear differential equations with meromorphic coefficients and small order of growth function were studied, and some precise estimates between the meromorphic solution of linear differential equations and small order of growth function were obtained.

Key words: Key words： higher order linear differential equations, convergence of zeros of the solution, hyper order, small order of growth function, two order convergence of zeros of the solution

中图分类号:

O 174

金瑾1,赵浩岚2. 一类高阶微分方程亚纯解取小函数的收敛指数[J]. 上海交通大学学报（自然版）, 2016, 50(04): 631-635.

JIN Jin1,ZHAO Haolan2. Convergence Exponent of Small Function Points for Solutions of Higher Order Differential Equations[J]. Journal of Shanghai Jiaotong University, 2016, 50(04): 631-635.

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