Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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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)
  • Received : 2020.06.12
  • Accepted : 2021.03.31
  • Published : 2021.07.01
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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

Acknowledgement

The authors would like to thank the reviewers for the suggestions that helped to improve the paper.

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