On the growth of holomorphic curves

Abstract

In this paper, we deduce some results which are generalizations of Petrenko, Fuchs, Niino, Bergweiler, Eremenko and Marchenko's work. We will estimate the deviation b(a,G) of a holomorphic curve G(z) with respect to a small holomorphic curve a(z) and give an estimation of L(r, a, G).