Growth of (α,\b{eta},γ)-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 (α,\b{eta},γ)-order. By employing the concepts of (α,\b{eta},γ)-order and (α,\b{eta},γ)-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.