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http://dx.doi.org/10.4134/JKMS.j200333

ON GEOMETRIC PROPERTIES OF THE MITTAG-LEFFLER AND WRIGHT FUNCTIONS  

Das, Sourav (Department of Mathematics National Institute of Technology Jamshedpur)
Mehrez, Khaled (Department of Mathematics Kairouan Preparatory Institute For Engineering Studies University of Kairouan)
Publication Information
Journal of the Korean Mathematical Society / v.58, no.4, 2021 , pp. 949-965 More about this Journal
Abstract
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;
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