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In this paper, we have obtained upper bound on third Hankel determinant for the functions belonging to the class of close-to-convex functions.

In this paper we apply a fractional differintegral operator to a class of analytic functions and derive certain new sufficient conditions for the starlikeness of this class of functions. The usefulness of the main results are depicted by deducing several interesting corollaries and relevances with some of the earlier results are also pointed out.