Second order complex differential equations with analytic coefficients in the unit disc

Abstract

In this article, we investigate the growth of solutions of second order complex differential equations in which the coefficients are analytic in the unit disc with lower [p,q]-order. We've proved similar results as in the case of complex differential equations in the whole complex plane with usual [p,q]-order. We define also new type of order applied on the coefficients to study the growth of solutions.