对高阶线性微分方程f^(k)+Ak-1^(z)f^(k-1)+…+A0^(z)f=F(z)的复振荡进行了研究,其中系数Aj(z)(j=0,…,k-1)和F(z)是单位圆Δ内的解析函数,得到了解的超级和零点收敛指数的估计.
In this paper , we studied the complex oscillation of higher order linear differential equations of the form f^(k)+Ak-1^(z)f^(k-1)+…+A0^(z)f=F(z) Where the coefficients Aj(z) = (j = 0,…, k - 1 ) and F(z) are analytic functions in the unit disc △. We obtained the estimations of hyper order and convergence exponent of zeros of solutions.