| 亚纯系数齐次线性微分方程解的性质 |
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| 引用本文： | 易才凤,陈宗煊.亚纯系数齐次线性微分方程解的性质[J].应用数学,2001,14(3):101-107. |
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| 作者姓名： | 易才凤 陈宗煊 |
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| 作者单位： | 江西师范大学数信学院, |
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| 基金项目： | 国家自然科学基金资助项目(19761002) |
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| 摘 要： | 本文研究了慢增长亚纯系数齐次线性微分方程亚纯解的零点收敛指数，得到了这类方程的线性无关超越解的最少个数和零点收敛指数为有穷的解的最多个数。
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| 关 键 词： | 微分方程 零点收敛指数 亚纯系数 线性 亚纯解 值分布论 |
| 文章编号： | 1001-9847(2001)03-0101-07 |
| 修稿时间： | 2000年9月20日 |
The Properties of Solutions of Homogeneous LinearDifferential Equations with Meromorphic Coefficients |
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| YI Cai-feng,CHEN Zong-xuan.The Properties of Solutions of Homogeneous LinearDifferential Equations with Meromorphic Coefficients[J].Mathematica Applicata,2001,14(3):101-107. |
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| Authors: | YI Cai-feng CHEN Zong-xuan |
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| Abstract: | In this paper, we investigate the exponent of convergence o f the zero-sequence of meromorphic solutions of homogeneous linear differential e quations with meromorphic coefficients of small growth, Obtain the minimum numbe r of linear independent transcendental solutions and the maximum number of linea r independent transcendental solutions with finite exponents of convergence of t he zero-sequence. |
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| Keywords: | Differential equation Exponent of convergence of the zero- sequence Order |
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