Some Results on the Properties of Differential Polynomials Generated by Solutionsof Complex Differential Equations

Abstract

This paper is devoted to considering 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 order in the complex plane.