| 一类差分PainleveⅠ方程解的性质 |
| |
| 引用本文： | 樊艺.一类差分PainleveⅠ方程解的性质[J].广州大学学报(综合版),2014(5):14-17. |
| |
| 作者姓名： | 樊艺 |
| |
| 作者单位： | 贵州工程应用技术学院理学院,贵州毕节551700 |
| |
| 基金项目： | 贵州省科学技术基金资助项目（2012GZ10526）． |
| |
| 摘 要： | 利用亚纯函数差分的Nevanlinna值分布理论，研究了一类PainleveⅠ方程有限级超越亚纯解的不动点、零点、极点分布情况和Borel例外值存在性问题，得到了方程解的不动点、零点和极点的收敛指数及其值分布的一些结果，同时给出了方程有理解的存在性及其表示。
|
| 关 键 词： | 差分PainleveⅠ方程 超越亚纯解 不动点 零点 Borel例外值 |
Properties of meromorphic solutions of some difference Painleve I equations |
| |
| FAN Yi.Properties of meromorphic solutions of some difference Painleve I equations[J].Journal of Guangzhou University,2014(5):14-17. |
| |
| Authors: | FAN Yi |
| |
| Institution: | FAN Yi (College of Science, Guizhou University of Engineering Science, Bijie, Guizhou 551700, China) |
| |
| Abstract: | In this paper, by using the difference Nevanlinna theory , we investigate the Zeros, poles, fixed points and Borel exceptional value distribution of meromorphic solutions of some difference PainleveI equation , and some results on the exponent of convergence of zeros ,fixed points,poles and Borel exceptional value ,and the existence and the form of rational solution of the above equation are obtained . |
| |
| Keywords: | difference PainleveI equation transcendental meromorphic solution fixed points zeros Borel exceptional value |
| 本文献已被 维普 等数据库收录！ |
