Work

Applications of Borel Distribution and Mittag-Leffler Function on a Class of Bi-Univalent Functions

Year: 2025

Type: article

Abstract: In this study, we present a novel class of bi-univalent functions that incorporates the Borel distribution and the Mittag-Leffler function within the open unit disk D. This is achieved by employing the q-analog of the hyperbolic tangent function in conjunction with the Hadamard product. The primary goal is determining the initial coefficient bounds for functions that fall within this newly defined class. Additionally, we explore the classical Fekete-Szegö functional problem as it pertains to these functions. Moreover, we highlight several known corollaries that arise from specific selections of the parameters associated with this class.

Source: International Journal of Analysis and Applications

DOI: 10.28924/2291-8639-23-2025-41

Author: Waleed Al-Rawashdeh

Institution: Zarqa University

Language: English

Topic: Analytic and geometric function theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $450

Funder: Zarqa University