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Revista de Matemática Teoría y Aplicaciones

versão impressa ISSN 1409-2433

Rev. Mat vol.22 no.2 San José Jul./Dez. 2015

 

Articles

Results on the uniqueness of difference polynomials of entire functions

Resultados de unicidad de diferencia de polinomios de funciones enteras

Hua Wang 1  

Hong-Yan Xu 2  

1Department of Informatics and Engineering, Jingdezhen Ceramic Institute, Jingdezhen, Jiangxi, 333403, China. E-Mail: hhhlucy2012@126.com

2Department of Informatics and Engineering, Jingdezhen Ceramic Institute, Jingdezhen, Jiangxi, 333403, China. E-Mail: xhyhhh@126.com

Abstract

In this paper, we study the uniqueness of two difference polynomials of entire functions sharing one value, polynomial and small function. Our results of this paper are improvement of the previous theorems given by Chen and Chen 2, Liu, Liu and Cao 22 and Li et al. 19.

Keywords: uniqueness; entire function; difference polynomial

Resumen

En este artículo, se estudia la unicidad de dos polinomios de diferencias de funciones enteras que comparten una función pequeña y polinomial. Nuestros resultados mejoran teoremas previos dados por Chen y Chen 2, Liu, Liu y Cao 22, y Li et al. 19.

Palabras clave: unicidad; función entera; polinomio de diferencias

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1Mathematics Subject Classification: 39A70, 30D35.

Received: May 12, 2014; Revised: March 09, 2015; Accepted: May 06, 2015

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