MALAYSIAN MATHEMATICAL SCIENCES SOCIETY Entire Functions and their Derivatives Share Two Finite Sets

Abstract. In this paper, we study the uniqueness of entire functions. We mainly obtain the following result: Let)(zf and)(zg be two non-constant entire functions,,5≥n k two positive integers, and let},,{},1: { 21 cbaSzzS n == = where a, b, c are nonzero finite distinct constants satisfying abcacbbca ≠≠ ≠ 222,,. If),(), ( 11 gSEfSE = ,),(), ()(2)(2 kk gSEfSE = , then.)() ( zgzf