复振荡中的辐角分布

On Angular Distribution in Complex Oscillation

利用无限级型函数和无限级Borel方向的一个等价条件,研究了微分方程f″+A(z)f=0解的零点聚值线和Borel方向之间的关系,其中A(z)是超越亚纯函数且σ(A)<∞.

It is investigated that connection between the cluster ray of zero-sequence and Borel direction of solutions of second order differential equations f＂ ＋ A （ z）f = 0 where A （z） is a meromorphic function of finite order, by using the infinity order type function and a sufficient and necessary condition for infinity order Borel direction which was established.