Work

Bounds on Initial Coefficients for Bi-Univalent Functions Linked to q-Analog of Le Roy-Type Mittag-Leffler Function

Year: 2024

Type: article

Abstract: This study introduces a new class of bi-univalent functions by incorporating the q-analog of Le Roy-type Mittag-Leffler functions alongside q-Ultraspherical polynomials. We formulate and solve the Fekete-Szegö functional problems for this newly defined class of functions, providing estimates for the coefficients |α2| and |α3| in their Taylor-Maclaurin series. Additionally, our investigation produces novel results by adapting the parameters in our initial discoveries.

Source: WSEAS TRANSACTIONS ON MATHEMATICS

DOI: 10.37394/23206.2024.23.73

Authors: Ala Amourah, Abdullah Alsoboh, Jamal Salah, Khamis Al Kalbani

Institutions: Sohar University, Philadelphia University, A'Sharqiyah University

Language: English

Topic: Analytic and geometric function theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4403777302

FWCI: 0.676

Cites: 32

Cited by: 1

Related to: 10