In this paper we introduce an operator associated with Srivastava-Tomovski generalization of the Mittag-Leffler function. By using this operator and the virtue of differential subordination, we define a new family of multivalent analytic functions. Some novel properties such as inclusion relation, Hadamard product and the Fekete-Szegö inequality of this new family are discussed.
Two new subclasses , (, ,) and , (, ,) of multivalent analytic functions are introduced. Distortion inequalities and inclusion relation for , (, ,) and , (, ,) are obtained. Some results of the partial sums of functions in these classes are also given.
The main object of the present paper is to show certain sufficient conditions for univalency of analytic functions with missing coefficients. MSC: 30C45; 30C55
We derive certain sufficient conditions for starlikeness and convexity of order of analytic functions in the unit disk. Applications are indicated for the subordination results to electromagnetic cloaking.
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