| 高阶微分方程解的辐角分布 |
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| 引用本文： | 易才凤.高阶微分方程解的辐角分布[J].数学学报,2005,48(1):133-140. |
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| 作者姓名： | 易才凤 |
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| 作者单位： | 江西师范大学数学与信息科学学院 |
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| 基金项目： | 国家自然科学基金资助项目(10161006) |
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| 摘 要： | 设A0,A1,c,An-1是不全为多项式的有限级整函数.本文研究微分方程f(n)+An-1f(n-1)+…+A0f=0解的辐角分布并得到解的零点可去集的一个结果.
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| 关 键 词： | 整函数 零点收敛指数 微分方程 |
The Angular Distribution of the Solutions of Higher Order Differential Equation |
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| Cai Feng YIInstitute of Mathematics and Information,Jiangxi Normal University,Nanchang ,P. R. China.The Angular Distribution of the Solutions of Higher Order Differential Equation[J].Acta Mathematica Sinica,2005,48(1):133-140. |
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| Authors: | Cai Feng YIInstitute of Mathematics and Information Jiangxi Normal University Nanchang P R China |
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| Institution: | Cai Feng YIInstitute of Mathematics and Information, Jiangxi Normal University, Nanchang 330027, P. R. China |
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| Abstract: | Let A0,A1,…,An-1be entire functions with finite order, which are not all polynomials. In this paper we study the angular distribution as well as the removable sets of zeors of solutions of differential equations f(n) + An-1f(n-1) +…+ A0f = 0. |
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| Keywords: | Entire function Exponent of convergence of zero-sequence Differential equation |
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