In this paper our aim is to deduce some sufficient conditions and inclusion properties for Mittag-Leffler-type Poisson distribution series to be in the classes k- and k- of k-uniformly Janowski starlike and k-Janowski convex functions, respectively. Further, we obtain a condition for an integral operator to be in the class k- . Several corollaries and consequences of the main results are also considered.
Keywords: Convex functions; Hadamard product; Mittag–Leffler function; Starlike functions; Uniformly convex functions; Uniformly starlike functions.
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