Complex Linear Differential Equations With Dominant Coefficient of Lower ϕ- Order Around a Singular Point

Abstract

In this work, we investigate the growth of solutions of some complex linear differential equations having coefficients which are analytic functions in ∁ ∪ {∞}╲{z₀}, where z₀ ∈ ∁ is an isolated singular point. Some estimations of lower bound of the growth of solutions of such differential equations are obtained by using the concept of lower 𝜑𝜑 −order.