In this paper, we investigate the growth of solutions to some linear diferential equations with analytic coefcients in the unit disc. When the coefcients of these equations have some special properties near a point on the boundary of the unit disc, the order and the hyper order of the solutions to these equations are estimated accurately. Especially, our conditions on the coefcients are more general and the results on the hyper order of the solutions are new to some extent.
In this paper, we consider a higher order differential equation and obtain a precise estimate of the order of growth and the hyper-order of solutions to the equation.
Juan Gong, Zongxuan Chen (School of Mathematical Sciences, South China Normal University, Guangzhou 510631) Xiumin Zheng (Institute of Math. and Information Science, Jiangxi Normal University, Nanchang 330022)
