Uniqueness of meromorphic functions with weakly weighted sharing

Authors

  • T. Alzahary Korteweg-de Vries Institute for Mathematics, Amsterdam University, P.O. BOX 94248, Amsterdam 1090GE, The Netherlands

Keywords:

Meromorphic function, Differential polynomial, Weakly weighted sharing

Abstract

In this paper, we introduce the notion of weakly weighted sharing for IM which extends the notion of weakly weighted sharing for CM, and we also introduce the notion of multiplicity. By using two notions, we prove some results on the uniqueness of meromorphic functions concerning differential polynomials sharing nonzero finite values. The results in this paper extend the results of Yang and Hua, Fang, and Dyavanal. In this paper, we correct the defective points in the paper [C. Wu, C. Mu and J. Li,`Uniqueness of Meromorphic Functions sharing one value', Bull. Aust. Math. Soc., 85(2012), 280-294. 10.1017/S0004972713000397

Author Biography

T. Alzahary, Korteweg-de Vries Institute for Mathematics, Amsterdam University, P.O. BOX 94248, Amsterdam 1090GE, The Netherlands

Korteweg-de Vries Institute for Mathematics, Professor

Published

2013-07-23

Issue

Section

Articles