摘要
In this paper, we give an estimate result of Gol＇dberg＇s theorem concern- ing the growth of meromorphic solutions of Mgebraic differential equations by using Zalcman Lemma. It is an extending result of the corresponding theorem by Yuan et al. （Yuan W J, Xiao B, Zhang J J. The general theorem of Gol＇dberg concerning the growth of meromorphic solutions of algebraic differential equations. Comput. Math. Appl., 2009, 58：1788 1791）. Meanwhile, we also take some examples to show that our estimate is sharp.
In this paper, we give an estimate result of Gol＇dberg＇s theorem concern- ing the growth of meromorphic solutions of Mgebraic differential equations by using Zalcman Lemma. It is an extending result of the corresponding theorem by Yuan et al. （Yuan W J, Xiao B, Zhang J J. The general theorem of Gol＇dberg concerning the growth of meromorphic solutions of algebraic differential equations. Comput. Math. Appl., 2009, 58：1788 1791）. Meanwhile, we also take some examples to show that our estimate is sharp.
基金
The NSF(10471065)of China
the Foundation(2011SQRL172)of the Education Department of Anhui Province for Outstanding Young Teachers in University
the Foundation(2012xq26)of the Huaibei Normal University for Young Teachers
