Further geometric properties of the Mittag-Leffler-Prabhakar functions of Le Roy type
This study aims to determine several geometric features of the normalized Mittag-Leffler-Prabhakar function of Le Roy type. These geometric properties include starlikeness and convexity of order-ζ, ξ-starlikeness and ξ-uniform convexity, lemniscate starlikeness and convexity, exponential starlikeness and convexity, and pre-starlikeness of the mentioned function inside the open unit disk. The results obtained are supported by various interesting examples and graphical illustrations.
Institutions
- Karamanoğlu Mehmetbey University (TR)
Publication Details
- Journal
- Journal of Inequalities and Applications
- Published
- 2025-12-18
- DOI
- https://doi.org/10.1186/s13660-025-03403-6
- Citations
- 1
- Primary Topic
- Analytic and geometric function theory
- Type
- article
- Field-Weighted Citation Impact
- 4.09