%0 Journal Article
%T 一类差分方程的亚纯解与亚纯函数分担3个值的唯一性<br>Unicity for Meromorphic Solutions of Some Difference Equations Sharing Three Values with Any Meromorphic Functions
%A 崔宁
%A 陈宗煊   &lt
%A br&gt
%A CUI Ning
%A CHEN Zongxuan
%J 华南师范大学学报（自然科学版）
%D 2016
%R 10.6054/j.jscnun.2015.12.015
%X 利用亚纯函数的Nevanlinna值分布理论和分类讨论的思想方法, 研究了差分方程a1(z)f(z+1)+a0(z)f(z)=0的有穷级亚纯解f(z)与任一亚纯函数g(z)分担0, 1, ∞CM时的唯一性问题, 得到f(z)≡g(z)或者f(z)g(z)≡1, 其中a1(z)和a0(z)是非零多项式且满足a1(z)+a0(z)0.<br>： 〖JP3〗By utilizing Nevanlinna's value distribution theory of meromorphic functions and categorized discussion method, the uniqueness of a finite-order meromorphic solution f(z) of the difference equation a1(z)f(z+1)+a0(z)f(z)=0 〖JP+1〗sharing 0, 1, ∞〖KG-1mm〗CM with any meromorphic function g(z) is investigated, and the result is given that f(z)≡〖JP2〗g(z) or f(z)g(z)≡1 under the above condition, where a1(z) and a0(z) are nonzero polynomials satisfying a1(z)+a0(z)0.〖JP
%K 亚纯函数
%K 差分方程
%K 分担值
%K 唯一性
%K &lt
%K br&gt
%K meromorphic function
%K difference equation
%K shared values
%K uniqueness
%U http://journal.scnu.edu.cn:8080/jwk_xbzrb/CN/abstract/abstract3921.shtml