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The Mittag-Leffler-Prabhakar Functions of Le Roy Type and its Geometric Properties

  • Khaled Mehrez,
  • Mohsan Raza

摘要

The main goal of this paper is to derive some sufficient conditions imposed on the parameters such that a class of analytic function related to the Mittag-Leffler- Prabhakar functions of Le Roy type possesses some geometric properties inside the unit disk. The main results derived here, are presumably new, and their importance is given by several consequences and examples.