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| 关于某些高阶代数微分方程亚纯解的增长性(英文) | |
| 引用本文： | 袁文俊,李志荣,张建军.关于某些高阶代数微分方程亚纯解的增长性(英文)[J].广州大学学报(自然科学版),2009,8(2). |
| 作者姓名： | 袁文俊 李志荣 张建军 |
| 作者单位： | 1. 广州大学数学与信息科学学院,广东广州,510006 2. 中山火炬职业技术学院信息工程系,广东中山,528436 3. 南京大学数学系,江苏南京,210093 |
| 基金项目： | the NSF of China，Doctorial Point Fund of National Education Ministry，Guang-zhou Education Bureau |
| 摘 要： | 运用正规族理论方法给出某些高阶代数微分方程亚纯解增长性的一般估计结果,推广了Barsegian和Bergweiler等人的相应结果.特殊情形举例说明结果是精确的. |
| 关 键 词： | 亚纯函数 正规族 增长级 球面导数 代数微分方程 |
On the growth's estimate of meromorphic solutions of some classes of higher order algebraic differential equations |
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| YUAN Wen-jun,LI Zhi-rong,Zhang Jian-jun.On the growth''s estimate of meromorphic solutions of some classes of higher order algebraic differential equations[J].Journal og Guangzhou University:Natural Science Edition,2009,8(2). | |
| Authors: | YUAN Wen-jun LI Zhi-rong Zhang Jian-jun |
| Institution: | 1.School of Mathematics and Information Sciences;Guangzhou University;Guangzhou 510006;China;2.Department of Information Engineering;Zhongshan Torch College;Zhongshan 528436;3.Department of Mathematics;Nanjing University;Nanjing 210093;China |
| Abstract: | In this paper,we give a general estimate of finite growth order of meromorphic solutions for some classes of higher order algebraic differential equations by using the normal families theory,which extends the results of Gol'dberg,Bank and Kaufman,Barsegian etc.We also give an example to show that our result is sharp in special case. |
| Keywords: | meromorphic function normal family growth order spherical derivative algebraic differential equations |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |