Results on uniqueness of entire functions whose certain difference polynomials share a small function

摘要

In the paper, using the concept of weakly weighted sharing and relaxed weighted sharing, we investigate the uniqueness problems of certain type of difference polynomials that share a small function. The results of the paper improve and extend some recent results due to C. Meng [Math. Bohem., 139(2014), 89-97] and the present first author [Commun. Math. Stat., 3(2015), 227-238].