Meromorphic functions sharing two small functions with its derivative

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:322

Article

Yao, Weihong ; Li, Ping

关键词: meromorphic function;    value sharing;    small function;   

DOI  :  10.1016/j.jmaa.2005.08.078

来源: Elsevier

【 摘 要 】

In this paper, we find all the forms of meromorphic functions f(z) that share the value 0 CM*, and share b(z) IM* with g(z) = a(1)(z)f (z) + a(2)(z)f' (Z). And a(1) (z), a(2)(z) and b(z) (a(2) (z), b(z) not equivalent to 0) be small functions with respect to f (z). As an application, we show that some of nonlinear differential equations have no transcendental meromorphic solution. (c) 2005 Elsevier Inc. All rights reserved.

【 授权许可】

Free