@article{Karthikeyan2026, 
author = {Kadhavoor R. Karthikeyan and Sakkarai Lakshmi and Dharmaraj Mohankumar},
title = {On classes of analytic functions with respect to symmetric points defined using the Mittag-Leffler function of Le Roy type},
year = {2026},
journal = {AIMS Mathematics},
volume = {11},
number = {7},
pages = {23490-23509},
keywords = {starlike function, convex function, exponential convex function, Mittag-Leffler function of the Le Roy type, Fekete-Szegő inequality, subordination},
url = {https://www.sciopen.com/article/10.3934/math.2026947},
doi = {10.3934/math.2026947},
abstract = {In this article, we will define an operator using the Hadamard product of an analytic function involving the Mittag-Leffler function of the Le Roy type. The defined operator extends and unifies the well-known operators that were defined to study various subclasses of univalent functions. Using the defined operator, we introduce a new family of analytic functions with respect to symmetric points. The analytic characterization of the defined function class was mainly motivated by the so-called    α-exponentially convex functions. Further, the defined function class involves    (  r  ,    ℓ  )-symmetrical function which is a generalization of the notions such as even, odd, and    ℓ-symmetrical functions. Estimates of the initial bounds, Fekete-Szegő inequality, and the integral representation of the defined function class are the main results of the paper. Applications of the main results are presented as inclusion relations and corollaries.}
}