TY - JOUR T1 - On Results the Growth of Meromorphic Solutions of Algebraic Differential Equations AU - Su , Xianfeng AU - Li , Xiaomeng AU - He , Zhongwei JO - Communications in Mathematical Research VL - 4 SP - 345 EP - 350 PY - 2021 DA - 2021/05 SN - 29 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cmr/18996.html KW - meromorphic function, algebraic differential equation, normal family, spherical derivative. AB -
In this paper, we give an estimate result of Gol'dberg's theorem concerning the growth of meromorphic solutions of algebraic 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.