复振荡中的辐角分布

On Angular Distribution in Complex Oscillation

利用熊庆来的无限级型函数和庄圻泰的关于无限级Borel方向的一个等价条件,建立了二阶和高阶微分方程解的零点聚值线和Borel方向之间的关系.所得结论推广了伍胜健等人的结果.

In this paper, by using the infinity order type function of Xiong Qinglai＇s and a sufficient and necessary condition for infinity order Borel direction which was established by Chuang Chitai, the angular distribution of the solutions of differential equations with entire coefficients is discussed, the connection of location of zeros of the solution of second order or higher order differential equation et al. the Borel direction is established, which can be regarded as an alternatiue version of Wu Shengjian et al.