Growth of ({\alpha},\b{eta},{\gamma})-order solutions of linear differential equations with analytic coefficients in the unit disc

Abstract

In this paper, we study the growth of solutions to higher-order complex linear differential equations in the unit disc, where the analytic coefficients are of finite ({\alpha},\b{eta},{\gamma})-order. By employing the concepts of ({\alpha},\b{eta},{\gamma})-order and ({\alpha},\b{eta},{\gamma})-type, we establish new results concerning the growth of such solutions. These results extend and generalize previous work by the second author and by Biswas.