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Revista de Matemática Teoría y Aplicaciones
versión impresa ISSN 1409-2433
Rev. Mat vol.23 no.1 San José ene./jun. 2016
Artículos
On a conjecture of R. Brück concerning meromorphic function sharing small functions
Sobre una conjetura de R.Brück concerniente a la función meromórfica que comparte pequeñas funciones
1Department of Informatics and Engineering, Jingdezhen Ceramic Institute, Jingdezhen,Jiangxi, 333403, China. E-Mail: xhyhhh@126.com
2Institute of Mathematics and informatics, Jiangxi Normal University, Nanchang, Jiangxi,330022, China. E-Mail: yicaifeng55@163.com
3Department of Informatics and Engineering, Jingdezhen Ceramic Institute, Jingdezhen, Jiangxi, 333403, China. E-Mail: hhhlucy2012@126.com
In this paper, we investigate the uniqueness problem on a conjecture of R. Brück concerning meromorphic function sharing the set of small functions with its derivative, and obtain some results which improve the theorems given by Zhang and Yang.
Keywords: meromorphic function; derivative; small function
En este artículo, nvestigamos el problema de unicidad sobre una conjetura de R. Brück que concierne una función meromórfica que comparte un conjunto de pequeñas funciones con su derivada, y obtenemos algunos resultados que mejoran los teoremas dados por Zhang y Yang.
Palabras clave: función meromórfica; derivada; función pequeña
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Received: April 27, 2015; Revised: September 02, 2015; Accepted: October 19, 2015
This is an open-access article distributed under the terms of the Creative Commons Attribution License
