a School of Mathematics, Shandong University, Jinan, Shandong 250100, PR China b Department of Mathematics, University of Joensuu, PO Box 111, 80101 Joensuu, Finland
Abstract:
This paper is devoted to proving some uniqueness type results for an entire function f(z) that shares a common set with its shift f(z+c) or its difference operator Δcf. We also give some applications to solutions of non-linear difference equations related to a conjecture proposed by C.C. Yang.