- Current Issue - Ahead of Print Articles - All Issues - Search - Open Access - Information for Authors - Downloads - Guideline - Regulations ㆍPaper Submission ㆍPaper Reviewing ㆍPublication and Distribution - Code of Ethics - For Authors ㆍOnlilne Submission ㆍMy Manuscript - For Reviewers - For Editors
 Certain difference polynomials and shared values Bull. Korean Math. Soc. 2018 Vol. 55, No. 5, 1529-1561 https://doi.org/10.4134/BKMS.b170892Published online September 30, 2018 Xiao-Min Li, Hui Yu Ocean University of China, Ocean University of China Abstract : Let $f$ and $g$ be nonconstant meromorphic (entire, respectively) functions in the complex plane such that $f$ and $g$ are of finite order, let $a$ and $b$ be nonzero complex numbers and let $n$ be a positive integer satisfying $n\geq 21$ ($n\geq 12,$ respectively). We show that if the difference polynomials $f^n(z) + af(z+\eta)$ and $g^n(z) + ag(z+\eta)$ share $b$ CM, and if $f$ and $g$ share 0 and $\infty$ CM, where $\eta\neq 0$ is a complex number, then $f$ and $g$ are either equal or at least closely related. The results in this paper are difference analogues of the corresponding results from \cite{ref4}. Keywords : Nevanlinna theory, difference polynomials, uniqueness theorems MSC numbers : Primary 30D35; Secondary 39A05 Downloads: Full-text PDF