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一类高阶微分方程亚纯解取小函数的收敛指数
引用本文:金瑾,赵浩岚.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,2016,50(4):631-635.
作者姓名:金瑾  赵浩岚
作者单位:(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)
基金项目: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
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  
收稿时间:2015-03-17

Convergence Exponent of Small Function Points for Solutions of Higher Order Differential Equations
JIN Jin;ZHAO Haolan.Convergence Exponent of Small Function Points for Solutions of Higher Order Differential Equations[J].Journal of Shanghai Jiaotong University,2016,50(4):631-635.
Authors:JIN Jin;ZHAO Haolan
Institution:(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)
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.
Keywords: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    
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