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The purpose of this paper is to study the uniqueness problems of certain difference polynomials of meromorphic functions sharing a nonzero polynomial. The results of this paper improve and generalize some recent results due to Li, Yi and Li  . Some examples have been exhibited to show that some conditions used in the paper are sharp. (2010) : 30D35. Mathematics Subject Classificationdoi:10.24193/subbmath.2019.3.08 fatcat:xthi2lxx2bc7vcczmdlwf52ivi