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Kyungpook Mathematical Journal 2016; 56(2): 451-464

Published online June 1, 2016 https://doi.org/10.5666/KMJ.2016.56.2.451

Copyright © Kyungpook Mathematical Journal.

A Further Result Related to a Conjecture of R. Brück

Nan Li1, Lianzhong Yang2, Kai Liu3

School of Mathematical Sciences, University of Jinan, Jinan, Shandong, 250022, P. R. China1
School of Mathematics, Shandong University, Jinan, Shandong, 250100, P. R. China2
Department of Mathematics, Nanchang University, Nanchang, Jiangxi, 330031, P. R. China3

Received: May 9, 2013; Accepted: April 12, 2016

Abstract

In this paper, we investigate the uniqueness problem of a meromorphic function sharing one small function with its differential polynomial, and give a result which is related to a conjecture of R. Brück.

Keywords: Meromorphic function, Shared value, Small function.