Some Results On the Complex Oscillation Theory Of Some Differential Polynomials

Abstract

In this paper, we investigate the complex oscillation of the differential polynomial gf= d2f+ d1f+ d0f, where dj (j= 0, 1, 2) are meromorphic functions with finite iterated p− order not all equal to zero generated by solutions of the differential equation f+ A (z) f= 0, where A (z) is a transcendental meromorphic function with finite iterated p− order ρp (A)= ρ> 0.