一类系数为间隙级数的高阶线性微分方程解的增长性

Growth of Solutions of a Class of Higher Order Linear Differential Equations with Coefficients Being Gap Series

中文关键词:  线性微分方程  超级  间隙级数.

英文关键词:linear differential equations  hyper order  gap series.

中文摘要:

      在本文中,我们研究了一类系数为间隙级数的高阶线性微分方程解的增长性.在这种情形下, 我们去掉了方程系数小于$\frac{1}{2}$的限制, 得到的一些结果, 推广了原有的结果.

英文摘要:

      In this paper, we investigate the growth of solutions of a class of higher order linear differential equations with coefficients being gap series. In this case, we remove the condition that the order of coefficients in equations is less than $\frac{1}{2}$, and obtain some results which improve the previous results.