Volume 36 • Number 4 • 2013   • On Some Problems of Difference Functions and Difference Equations Xiao-Bin Zhang and Hong-Xun Yi Abstract. This paper is devoted to studying uniqueness of $q$-difference polynomials sharing values or fixed points. The results generalize those given by Zhang and Korhonen. Some examples are given to show the sharpness of our results. Moreover, value distribution of $q$-difference functions, and uniqueness of entire solutions of a certain type of $q$-difference equation are also considered. 2010 Mathematics Subject Classification:30D35, 39A10 Full text: PDF