Growth of solutions to complex linear differential equations in which the coefficients are analytic functions except at a finite singular point

In this paper, we study the growth of solutions to complex higher order linear differential equations, where the coefficients are analytic in the closed complex plane except at a finite singular point. We obtain some results on the [p,q]-order and on the lower [p,q]-order which improve and extend those of Long and Zeng.

Keywords:

Linear differential equations , Growth of solutions , Finite singular point , Nevanlinna theory