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The paper is devoted to study the uniqueness problem of lineardelay-differential operator of a meromorphic function sharing two sets or smallfunction together with values with its $c$-shift and $q$-shift operator.Results of this paper drastically improve two recent results of Meng-Liu [J.Appl. Math. Inform. 37(1-2)(2019), 133-148] and Qi-Li-Yang [Comput. MethodsFunct. Theo., 18(2018), 567-582]. In addition to this, one of our resultimprove and extend that of Qi-Yang [Comput. Methods Funct. Theo., 20(2020),159-178].

Linear Delay-Differential operator of a meromorphic function sharing two sets or small function together with values with its $c$-shift or $q$-shift