[1]何静,郑秀敏.几类高阶线性微分方程亚纯解的迭代级[J].江西师范大学学报(自然科学版),2012,(06):584-588.
　HE Jing,ZHENG Xiu-min.The Iterated Order of Meromorphic Solutions of Some Classes of Higher Order Linear Differential Equations[J].Journal of Jiangxi Normal University:Natural Science Edition,2012,(06):584-588.
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几类高阶线性微分方程亚纯解的迭代级()
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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:
期数:
2012年06期
页码:
584-588
栏目:
出版日期:
2012-12-01

文章信息/Info

Title:
The Iterated Order of Meromorphic Solutions of Some Classes of Higher Order Linear Differential Equations
作者:
何静;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):
HE Jing;  ZHENG Xiu-min
关键词:
线性微分方程; 亚纯解; 迭代级; 迭代零点收敛指数
Keywords:
linear differential equation; meromorphic solution; iterated order; iterated convergence exponent of zero sequence
分类号:
O174.52
文献标志码:
A
摘要:
研究了几类具有迭代级亚纯函数系数的高阶线性微分方程亚纯解的增长性和零点分布问题,当系数a0或ad对其它系数起支配作用时,得到了方程满足一定条件的亚纯解的迭代级的一些结果,所得结果推广了前人已有结果.
Abstract:
The growth and the distribution of zeros of meromorphic solutions of some classes of higher order lin-ear differential equations with meromorphic coefficients of iterated orders are investigated. Some results on the it-erated order of the solutions, which satisfy some conditions are obtained, when the coefficient a0 or ad dominates the other coefficients. Our results are extensions on previous results.

参考文献/References:

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[8] Tu Jin, Chen Zongxuan. Growth of solutions of complex differential equations with meromorphic coefficients of finite iterated order [J]. Southeast Asian Bull Math, 2009, 33(1): 153-164.
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[10] 涂金, 陈宗煊, 曹廷彬. 几类微分方程解的迭代解与零点收敛指数 [J].数学研究与评论, 2006, 26(4): 757-763.
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更新日期/Last Update: 1900-01-01