文献类型：期刊文献

英文题名：Uniqueness of meromorphic solutions of the difference equation R1(z)f(z+1)+R2(z)f(z)=R3(z)

作者：Li, Sheng[1];Chen, BaoQin[1]

机构：[1]Guangdong Ocean Univ, Fac Math & Comp Sci, Zhanjiang, Peoples R China

年份：2019

卷号：2019

期号：1

外文期刊名：ADVANCES IN DIFFERENCE EQUATIONS

收录：SCI-EXPANDED(收录号：WOS:000473128600003)、、Scopus(收录号：2-s2.0-85068063477)、WOS

基金：This work was supported by the Natural Science Foundation of Guangdong Province (2018A030307062), Excellent Young Teachers Training Program of Guangdong High Education (YQ2015089), and Excellent Young Teachers Training Program of Guangdong Ocean University (HDYQ2015006).

语种：英文

外文关键词：Meromorphic solutions; Difference equations; Uniqueness

外文摘要：This paper mainly concerns the uniqueness of meromorphic solutions of first order linear difference equations of the form where R1(z)?0, R2(z), R3(z) are rational functions. Our results indicate that the finite order transcendental meromorphic solution of equation (*) is mainly determined by its zeros and poles except for some special cases. Examples for the sharpness of our results are also given.