Year: 2013
Author: Xianfeng Su, Xiaomeng Li, Zhongwei He
Communications in Mathematical Research , Vol. 29 (2013), Iss. 4 : pp. 345–350
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2013-CMR-18996
Communications in Mathematical Research , Vol. 29 (2013), Iss. 4 : pp. 345–350
Published online: 2013-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 6
Keywords: meromorphic function algebraic differential equation normal family spherical derivative.