A New Category of Analytical Functions Constructed with Mittag-Leffler Function and Lambert Series
Year: 2025
Type: article
Abstract: This investigation explores a novel subclass of analytical functions, designated as TJ(ξ , ρ, A, B), constructed through the application of a linear operator incorporating both the Mittag-Leffler function and Lambert series. We provide sufficient conditions for an analytic function to be a member of the introduced class, we obtain the distortion theorems, the extreme points and the coefficient bounds. When applicable, additional findings are derived utilizing the established Robin's inequalities that assert upper bounds of the Lambert series coefficients.
Source: Contemporary Mathematics
Author: Jamal Salah
Institution: A'Sharqiyah University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4414087577