Zeros and Uniqueness of Difference Polynomials of Meromorphic Functions

• Journal title : Kyungpook mathematical journal
• Volume 53, Issue 4,  2013, pp.541-552
• Publisher : Department of Mathematics, Kyungpook National University
• DOI : 10.5666/KMJ.2013.53.4.541
Title & Authors
Zeros and Uniqueness of Difference Polynomials of Meromorphic Functions
Qi, Xiaoguang; Dou, Jia;

Abstract
This research is a continuation of a recent paper due to the first author in [9]. Different from previous results, we investigate the value distribution of difference polynomials of moromorphic functions in this paper. In particular, we are interested in the existence of zeros of $\small{f(z)^n({\lambda}f(z+c)^m+{\mu}f(z)^m)-a}$, where f is a moromorphic function, n, m are two non-negative integers, and $\small{{\lambda}}$, $\small{{\mu}}$ are non-zero complex numbers. However, the proof here is obviously different to the one in [9]. We also study difference polynomials of entire functions sharing a common value, which improves the result in [10, 13].
Keywords
meromorphic functions;uniqueness;difference;shift;value distribution;sharing value;
Language
English
Cited by
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