一类高阶微分方程亚纯解取小函数的收敛指数  

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

作　　者：金瑾 赵浩岚 

机构地区：[1]贵州工程应用技术学院数学系 [2]毕节循环经济研究院,贵州毕节551700 [3]上海金融学院国际经贸学院,上海201209

出　　处：《上海交通大学学报》2016年第4期631-635,共5页Journal of Shanghai Jiaotong University

基　　金：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.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.

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 

分 类 号：O174[理学—数学]