| 某类线性微分方程亚纯解的增长性 |
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| 引用本文： | 陈玉.某类线性微分方程亚纯解的增长性[J].纯粹数学与应用数学,2009,25(2):261-267. |
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| 作者姓名： | 陈玉 |
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| 作者单位： | 江西师范大学数学与信息科学学院,江西,南昌,330022 |
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| 基金项目： | 江西省教育厅科学技术研究项目 |
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| 摘 要： | 研究了一类亚纯函数系数的线性微分方程的解的增长性问题，得到了齐次和非齐线性微分方程亚纯解的增长级、超级、二级不同零点收敛指数的精确估计．
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| 关 键 词： | 线性微分方程 亚纯解 超级 二级收敛指数 |
On the growth of meromorphic solutions of a class of linear differential equations |
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| CHEN Yu.On the growth of meromorphic solutions of a class of linear differential equations[J].Pure and Applied Mathematics,2009,25(2):261-267. |
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| Authors: | CHEN Yu |
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| Institution: | CHEN Yu (Institute of Mathematics , Informatics,Jiangxi Normal University,Nanchang 330022,China) |
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| Abstract: | Studying the properties of growth of solutions of a class of linear differential equations with meromorphic coefficients, and obtain some precise estimates of the order of growth,the hyper-order and the hyper-exponent of convergence of sequence of distinct zeros of homogeneous and non-homogeneous linear differential equations. |
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| Keywords: | linear differential equation meromorphic solutions hyper-order hyper-exponent of convergence |
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