A note on the value distribution of Differential Polynomials

Abstract

Let $f$ be a transcendental meromorphic function, defined in the complex plane $\mathbb{C}$. In this paper, we give a quantitative estimations of the characteristic function $T(r,f)$ in terms of the counting function of a homogeneous differential polynomial generated by $f$. Our result improves and generalizes some recent results.

11 pages, (Accepted for publication in Communications of the Korean Mathematical Society )