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;

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 , where f is a moromorphic function, n, m are two non-negative integers, and , 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

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