Solutions of Non-Homogenous Linear Differential Equations

Abstract

This article is devoted to the study of solutions of non-homogenous linear differential equations having entire coefficients. We get all non-trivial solutions of infinite order of equation, by restricting the conditions on coefficients. 2020 Mathematics Subject Classification. 34M10, 30D35. Key words and phrases. entire function, non-homogenous linear differential equation, order of growth and exponent of convergence.