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系数为[p,q]级整函数的高阶线性微分方程解的增长性
引用本文:涂金,时玲芝.系数为[p,q]级整函数的高阶线性微分方程解的增长性[J].江西师范大学学报(自然科学版),2010,34(3).
作者姓名:涂金  时玲芝
作者单位:江西师范大学,数学与信息科学学院,江西,南昌,330022
基金项目:江西省自然科学基金,江西省教育厅青年基金,江西省教育厅科技计划 
摘    要:利用p,q]级整函数的定义以及Nevanlinna值分布理论首次研究了系数为p,q]级整函数高阶线性微分方程解的增长性, 推广了前人的一些结果.

关 键 词:线性微分方程  整函数  [p  q]级  [p  q]指标对

The Growth for Solutions of Higher Order Linear Differential Equations with Entire Coefficients Being [p,q] Order
TU Jin,SHI Ling-zhi.The Growth for Solutions of Higher Order Linear Differential Equations with Entire Coefficients Being [p,q] Order[J].Journal of Jiangxi Normal University (Natural Sciences Edition),2010,34(3).
Authors:TU Jin  SHI Ling-zhi
Institution:TU Jin,SHI Ling-zhi(College of Mathematics and Informatics,Jiangxi Normal University,Nanchang Jiangxi 330022,China)
Abstract:In this paper,the growth and the exponent of convergence of zeros of solutions of higher order linear differential equations are investigated by definition of p,q] order of entire functions,and some results are obtained which are the improvement and extension of previous results.
Keywords:linear differentiam equations  entire function  [p  q] order  q] index pair  
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