文献类型：期刊文献

英文题名：Some results on entire functions that share one value with their difference operators

作者：Chen, BaoQin[1];Li, Sheng[1];Chai, Fujie[2]

机构：[1]Guangdong Ocean Univ, Fac Math & Comp Sci, Zhanjiang, Peoples R China;[2]Guangzhou Civil Aviat Coll, Dept Math, Guangzhou, Guangdong, Peoples R China

年份：2018

卷号：2018

期号：1

外文期刊名：ADVANCES IN DIFFERENCE EQUATIONS

收录：SCI-EXPANDED(收录号：WOS:000434711300002)、、Scopus(收录号：2-s2.0-85048260001)、WOS

基金：This work was supported by the Natural Science Foundation of Guangdong (2015A030313620), Excellent Young Teachers Training Program of Guangdong High Education (YQ2015089), Excellent Young Teachers Training Program of Guangdong Ocean University(2014007, HDYQ2015006), Project of Enhancing School with Innovation of Guangdong Ocean University (GDOU2016 050206, GDOU2016050209).

语种：英文

外文关键词：Difference operators; Entire functions; Shared values

外文摘要：In this paper, we give some results on entire functions that share one value with their difference operators. In particular, we prove the following result, which can be regarded as a difference analogue of a result of J.P. Wang and H.X. Yi (J. Math. Anal. Appl. 277: 155-163, 2003): Let f (z) be a non-constant entire function such that rho(2)(f) < 1, a(not equal 0) be a finite constant, and n and m be positive integers satisfying m > n > 1. If f (z) = a (sic) Delta(c)f(z) = a, f (z) = a -> Delta(m)(c)f(z) = Delta(n)(c)f(z) = a, then Delta(n)(c)f(z) = Delta(m)(c)f(z). Two related results are proved and an example is provided.