Journal of the
Korean Mathematical Society JKMS

The main focus of the present paper is to present new set of sufficient conditions so that the normalized form of the Mittag-Leffler and Wright functions have certain geometric properties like close-to-convexity, univalency, convexity and starlikeness inside the unit disk. Interesting consequences and examples are derived to support that these results are better than the existing ones and improve several results available in the literature.

Keywords: Mittag-Leffler function, Wright function, analytic function, univalent function, starlike function, close-to-convex function

MSC numbers: 30C45, 30D15