Differential polynomials generated by meromorphic solutions of [p, q]-order to complex linear differential equations

Abstract

This paper deals with the complex oscillation of differential polynomials generated by meromorphic solutions of the differential equation f(k) + Ak−1 (z) f(k−1) + · · · + A1 (z) f′ + A0 (z) f = 0, where Ai (z) (i = 0, 1, · · · , k − 1) are meromorphic functions of finite [p,q]-order in the complex plane.