Document Type : Research Paper
College of Science, China University of Mining and Technology, Xuzhou 221116, PR China
Department of Mathematics, Nanjing University, Nanjing 210093, PR China
In this paper, we mainly investigate the uniqueness of the entire function sharing a
small entire function with its high difference operators. We obtain
one results, which can give a negative answer to an uniqueness question
relate to the Bruck conjecture dealt by Liu and Yang. Meanwhile, we also establish a difference analogue of the
Bruck conjecture for entire functions of order less than 2, which improves some results obtained by Liu and Yang.