In this paper, we introduced a new Complex linear operator in the terms of the Mittag-Leffler type functions. Furthermore, several subordination, superordination and sandwich-type outcomes for certain analytic functions related to this new operator are introduced and discussed. Relevant connections of the outcomes are also presented.
In the present study, a new complex convolution operator is introduced in terms of the meromorphic formula of the generalized Mittag-Leffler functions (MLfs), namely R– function. By employing the subordination methodology, appropriate classes of admissible functions are considered as well as the dual features of the third-order(3rd-order) differential subordination and superordination for this new operator are discussed. As a sequel, the sandwich-type outcome is also examined.
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