摘要
本文研究了一类高阶线性差分方程非零亚纯解的增长性问题.利用Phragmn-Lindelf指标函数的方法,获得了当方程拥有多个具有相同型的主导系数时,方程非零亚纯解的增长性的一个下界估计.该结果改进了前人的一些已有结果.
In this paper, we study the growth of meromorphic solutions of a class of higher order linear difference equations. By using the Phragm′en-Lindel¨of indicator functions, we obtain an estimation of lower bound of the growth of meromorphic solutions of the difference equations if it has at least two dominating coefficients with same type, which improves the previous results.
作者
吴秀碧
张石梅
龙见仁
石磊
WU Xiu-bi;ZHANG Shi-mei;LONG Jian-ren;SHI Lei(School of Mathematical Science,Guizhou Normal University,Guiyang 550001（2.School of Computer Science;School of Science,Beijing University of Posts and Telecommunications,Beijing 100876,Chin)
出处
《数学杂志》
2018年第4期713-720,共8页
Journal of Mathematics
基金
国家自然科学基金资助(11501142)
贵州省科学技术基金资助(黔科合J字[2015]2112号)
关键词
增长级
线性差分方程
主导系数
指标函数
order of growth
linear difference equation
dominating coefficients
indicatorfunction
