Certain Class of Analytic Functions Connected with the $q$-analogue of the Le Roy-type Mittag-Leffler Function

European Journal of Pure and Applied Mathematics 2026 Open access

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Authors: Arun Seeralan, Sivakumar S, H. Niranjan, B. Venkateswarlu, Thirupathi Reddy P, Venkateswara Rao J
DOI: 10.29020/nybg.ejpam.v19i1.7108
Cited by: 0

Abstract

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.

Fields of Study & Subjects

Analytic and geometric function theory Mathematical Inequalities and Applications Approximation Theory and Sequence Spaces

Publication details

Journal / source
European Journal of Pure and Applied Mathematics
Volume
19
Issue
1
Pages
7108–7108
Publication date
16 February 2026
Language
EN