Complex Oscillation of Differential Polynomials Generated by Meromorphic Solutions of [p, q] Order to Complex Non-homogeneous Linear Differential Equations

Abstract

In this article we study the complex oscillation of differential polynomials generated by meromorphic solutions of the non-homogeneous linear differential equation f (k)+ Ak− 1 (z) f (k− 1)+···+ A1 (z) f′+ A0 (z) f= F, where Ai (z)(i= 0, 1,···, k− 1) and F are meromorphic functions of finite [p, q]-order in the complex plane.