| 关于高阶线性微分方程亚纯解的增长率 |
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| 引用本文： | 陈宗煊. 关于高阶线性微分方程亚纯解的增长率[J]. 数学学报, 1999, 42(3): 551-558. DOI: cnki:ISSN:0583-1431.0.1999-03-021 |
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| 作者姓名： | 陈宗煊 |
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| 作者单位： | 江西师范大学数学系,南昌,330027 |
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| 摘 要： | 本文研究了二种类型的高阶线性齐次亚纯函数系数微分方程的亚纯解的增长性，当存在某个系数对方程的解的性质起主要支配作用时，我们对方程的亚纯解的增长率得到了精确的估计。
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| 关 键 词： | 线性齐次微分方程，亚纯函数，超级 |
| 修稿时间： | :1998-04-2 |
On the Rate of Growth of Meromoaphic Solutions ofHigher Order Linear Differential Equations |
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| Chen Zongxuan. On the Rate of Growth of Meromoaphic Solutions ofHigher Order Linear Differential Equations[J]. Acta Mathematica Sinica, 1999, 42(3): 551-558. DOI: cnki:ISSN:0583-1431.0.1999-03-021 |
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| Authors: | Chen Zongxuan |
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| Affiliation: | Chen Zongxuan(Department of Mathematics, Jiangxi Normal University, Nanchang 330027, P.R. China) |
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| Abstract: | In this paper, we investigate the properties of growth of meromorphic solu-tions of two type of higher order linear homogeneous differential equations with mero-inorphic coefficients, we obtain precise estimate of the rate of growth of meromorphicsolutions of the equations when there is some coefficient that is main dominating tothe properties of the solutions of the equations. |
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| Keywords: | Linear homogeneous differential equation Meromorphic hunction Hyper-order |
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