| 二阶齐次与非齐次线性微分方程亚纯解的零点与增长性质估计(英文) |
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| 引用本文： | 陈玉.二阶齐次与非齐次线性微分方程亚纯解的零点与增长性质估计(英文)[J].应用数学,2010,23(1). |
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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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| 摘 要： | 本文研究了方程f′′+A(z)f′+B(z)f=0与f′′+A(z)f′+B(z)f=F亚纯解的零点与增长性,其中A(z),B(z)(■0),F(z)(■0)为亚纯函数,得到了方程亚纯解的增长级、下级、超级、二级不同零点收敛指数等的精确估计,改进了KwonKi-Ho、陈宗煊与杨重骏、Benharrat Beladi等的结果.
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| 关 键 词： | 微分方程 亚纯函数 级与下级 超级 二级不同零点收敛指数 |
Estimates of the Zeros and Growths of Meromorphic Solutions of Homogeneous and Non-homogeneous Second Order Linear Differential Equations |
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| CHEN Yu.Estimates of the Zeros and Growths of Meromorphic Solutions of Homogeneous and Non-homogeneous Second Order Linear Differential Equations[J].Mathematica Applicata,2010,23(1). |
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| Authors: | CHEN Yu |
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| Abstract: | In this paper,we investigate the zeros and growths of meromorphic solutions of the equations f"+ A(z) f'+ B(z)f = 0 and f"+ A(z) f'+ B(z) f = F, whereA(z),B(z)((≠)0),F(z)((≠)0) are meromorphic functions. We obtain some precise estimates of the order of growth, the lower order,the hyper-order and the hyper-exponent of convergence of distinct zeros of the meromorphic solutions of the equations and improve the results of Kwon Ki-Ho, Chen Z X and Yang C C, Benharrat Belaidi greatly. |
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| Keywords: | Differential equation Meromorphic solution Order and lower order Hyper-order Hyper-exponent of convergence of distinct zeros |
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