In the present paper, we investigate a new linear operator through the Hadamard product between the fundamental hypergeometric function and the Mittag Leffler function. Furthermore, the geometric properties of a new meromorphic function subclass will be investigated.

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In this work, we study a new class of meromorphicmultivalent functions, defined by fractional differ-integral operator.We obtain some geometricproperties, such ascoefficient inequality, growth and distortion bounds, convolution properties, integral representation, radii of starlikeness, convexity, extreme pointsproperties, weighted mean and arithmetic meanproperties.

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In the present paper, we introduce two subclasses, S*C(,,g,s,d) and  TS*C(, ,g, s,d), of analytic functions . Coefficients bounds for these subclasses are calculated. The main purpose of this article is to originate characteristic properties of the functions in the above subclasses.