Certain Class of Analytic Functions Connected with the $q$-analogue of the Le Roy-type Mittag-Leffler Function
DOI:
https://doi.org/10.29020/nybg.ejpam.v19i1.7108Keywords:
$q$-Mittag Leffler; Mittag-Leffler of Le Roy-type, coefficient estimates, distortion; partial sumsAbstract
This article focuses on the introduction of a new subclass of analytic mappings, specifically involving the $q$-analogue of the Le Roy-type Mittag-Leffler mapping. We derive coefficient inequalities and explore various properties, including growth and distortion, as well as the radii of close-to-convexity and starlikeness. Furthermore, we examine convex linear combinations. Furthermore, we address partial sums, convolutions, and neighborhood properties of this newly defined class.
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Copyright (c) 2026 Arun Seeralan Balakrishnan, Sivakumar S, Niranjan H, Venkateswarlu B, Thirupathi Reddy P, Venkateswara Rao J
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