摘要
研究了潘勒韦Ⅲ型差分方程的亚纯解的Borel例外值,零点极点和不动点的收敛指数.另外还给出了一些证明结论条件精确的例子.
We investigate the properties of meromorphic solutions of Painlev~ III dif- ference equations. In particular, we study the existence of Borel exceptional value, the exponent of convergence of zeros, poles and fixed points of a transcendental meromor- phic solution. Several sharp examples of meromorphic solutions of some Painleve III difference equations are given.
出处
《数学学报（中文版）》
SCIE
CSCD
北大核心
2014年第1期181-188,共8页
Acta Mathematica Sinica：Chinese Series
基金
国家自然科学基金资助项目(11201014,11171013,11126036)
北航基本业务费302854资助
关键词
亚纯解
差分
有限级
meromorphic solution
difference
finite order
