Uniqueness of Meromorphic Functions Concerning Their Differences and Solutions of Difference PainlevÉ Equations

This paper is devoted to studying some shared value properties for finite-order meromorphic solutions of the difference Painlevé IV equation. We also consider sharing value problems for the derivative of a meromorphic function f(z) with its shift f(z+c)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$f(z+c)$$\end{document} and difference Δf\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\Delta f$$\end{document}.