关于一类高阶性线差分方程亚纯解的增长性
ON THE GROWTH OF MEROMORPHIC SOLUTIONS OF A CLASS OF HIGHER ORDER LINEAR DIFFERENCE EQUATIONS

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Phragmén-Lindel？f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 Phragmén-Lindel？f 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