二阶微分方程亚纯解的零点收敛指数和增长级

The Convergence Exponent of the Zeros and Growth order of Meromorphic Solutions for Differential Equation

该文研究了非齐次线性微分方程ｆ″＋Ａｆ′＋Ｂｆ＝Ｆ（Ｉ）的复振荡问题，其中Ａ、Ｂ为超越的，在Ｂ比Ａ有较大增长级的条件下，得到了微分方程（Ｉ）的所有亚纯解的零点收敛指数和增长级的精确估计．

In this paper,we investigate the convergence exponent of the zeros and growth order of meromorphic solutions for the differential equation f″+Af′+Bf=F where A,B are transcendental meromorphic functions.When B has larger growth than A,we obtained some precise estimates of the exponent of convergence of the zeros and growth order of meromorphic solutions for the above equation.