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.

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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
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article

Further geometric properties of the Mittag-Leffler-Prabhakar functions of Le Roy type

1 citations
Journal of Inequalities and Applications
Analytic and geometric function theory
4.09
article

Further geometric properties of the Mittag-Leffler-Prabhakar functions of Le Roy type

article en
1 citations

Abstract

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.

Journal of Inequalities and ApplicationsVol. 2025(1)
Karamanoğlu Mehmetbey University (TR)
Openalex Percentile: Top 5%
Analytic and geometric function theory
4.09
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