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<p>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-<i>ζ</i>, <i>ξ</i>-starlikeness and <i>ξ</i>-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.</p>

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

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年12月18日

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  • İbrahim Aktaş,
  • Merve Görgülü

摘要

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.