In this paper, we introduce new concept that is fourth-order differential subordination and superordination associated with linear operator for univalent analytic functions in open unit disk. Here, we extended some lemmas. Also  some interesting new results are obtained.

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In this paper, by making use An operator, suitable classes of admissible functions are investigated and the properties of third-order differential subordination are obtained.

In this paper, we obtain some applications of second order differential Subordination results involving a generalized integral operator for certain normalized analytic functions.

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