某些q-差分方程亚纯解的增长性  

Growth of Meromorphic Solutions of Some q-Difference Equations

作　　者：郑秀敏[1,2] 陈宗煊[1] 

机构地区：[1]华南师范大学数学科学学院,广州510631 [2]江西师范大学数学与信息科学学院,南昌330022

出　　处：《数学年刊（A辑）》2009年第5期647-658,共12页Chinese Annals of Mathematics

基　　金：国家自然科学基金(No.10871076);广东省自然科学基金(No.06025059)资助的项目

摘　　要：运用Nevanlinna理论的基本方法研究了某些比Schroder方程更为一般的q-差分方程的亚纯解,当方程系数在给定的条件下对解的增长性进行了估计,推广了前人已有的结果,并给出了一些例子说明这些结果是精确的.By using the fundermental method of Nevanlinna theory, the authors consider meromorphic solutions of some q-difference equations which are more general than the SchrSder equation. Estimates on growth of solutions are given under some conditions on the coefficients of these equations, which generalize the earlier results. Some examples are also given to show that these results are sharp.

关 键 词：q-差分方程 Schrder方程 亚纯解 

分 类 号：O174.52[理学—数学]