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| 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Phragmén-Lindelöf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. |
| 关键词: 增长级 线性差分方程 主导系数 指标函数 |
| DOI： |
| 分类号:O174.5 |
| 基金项目: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）. |
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| ON THE GROWTH OF MEROMORPHIC SOLUTIONS OF A CLASS OF HIGHER ORDER LINEAR DIFFERENCE EQUATIONS |
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WU Xiu-bi,ZHANG Shi-mei,LONG Jian-ren,SHI Lei
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| Abstract: |
| In this paper, we study the growth of meromorphic solutions of a class of higher order linear difference equations. By using the Phragmén-Lindelöf 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. |
| Key words: order of growth linear difference equation dominating coefficients indicator function |
