[1]罗丽琴,郑秀敏.具[p,q]-φ级亚纯系数的2阶线性微分方程解的复振荡[J].江西师范大学学报(自然科学版),2016,40(04):331-337.
　LUO Liqin,ZHENG Xiumin.The Complex Oscillation of a Second Order Linear Differential Equation with Meromorphic Coefficients of [p,q]-φ Order[J].Journal of Jiangxi Normal University:Natural Science Edition,2016,40(04):331-337.
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具[p,q]-φ级亚纯系数的2阶线性微分方程解的复振荡()
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《江西师范大学学报》（自然科学版）[ISSN:1006-6977/CN:61-1281/TN]

卷:
40
期数:
2016年04期
页码:
331-337
栏目:
出版日期:
2016-09-01

文章信息/Info

Title:
The Complex Oscillation of a Second Order Linear Differential Equation with Meromorphic Coefficients of [p,q]-φ Order
作者:
罗丽琴; 郑秀敏
江西师范大学数学与信息科学学院,江西 南昌 330022
Author(s):
LUO Liqin; ZHENG Xiumin
Institute of Mathematics and Informatics,Jiangxi Normal University,Nanchang Jiangxi 330022,China
关键词:
线性微分方程;  亚纯系数;  [p; q]-φ级;  [p; q]-φ收敛指数
Keywords:
linear differential equation;  meromorphic coefficient;  [p; q]-φ order;  [p; q]-φ convergence exponent
分类号:
O 174.52
文献标志码:
A
摘要:
运用亚纯函数的Nevanlinna值分布理论和方法,对具[p,q]-φ级亚纯系数的2阶线性微分方程的亚纯解的性质进行了研究,得到了亚纯解的增长级和(不同)零极点收敛指数与系数的增长级的关系,所得结果推广了前人的相应结论.
Abstract:
Properties of meromorphic solutions of a second order linear differential equation with meromorphic coefficients of [p,q]-φ order are investigated by using Nevanlinna’s value distribution theory of meromorphic functions.And some results on the relations between the order of meromorphic solutions,the convergence exponent of(distinct)zeros and(distinct)poles of meromorphic solutions,and the order of the coefficients are obtained,which are improvements and extensions of the corresponding results of previous papers.

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期:2016-03-21基金项目:国家自然科学基金(11301233)和江西省自然科学基金(20151BAB201004)资助项目.通信作者:郑秀敏(1980-),女,江西上饶人,副教授,博士,主要从事复分析方向的研究.
更新日期/Last Update: 1900-01-01