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Fekete-Szeg¨o Inequalities for a New Class of Bi-Univalent Functions Defined via the Mittag-Leffler Function

Year: 2025

Type: article

Abstract: In this paper, we introduce a new subclass of analytic functions denoted byMp,qΣ (∝, β), where we use the subordination relationship between the Mittag-Leffler function and the (p, q)-derivative of F(z) to define this new class. By employing the Taylor-Maclaurin series expansion, we focus on estimating the bounds for the coefficients |a2| and |a3|. Moreover, we establish Fekete Szeg¨o inequalities for functions within this class.

Source: European Journal of Pure and Applied Mathematics

DOI: 10.29020/nybg.ejpam.v18i2.6064

Authors: Mohammad Al-Ityan, Ala Amourah, Abdullah Alsoboh, Nidal Anakira, Mohammad Bani Raba'a, Suha Hammad, Tala Sasa

Institutions: Al-Balqa Applied University, Sohar University, A'Sharqiyah University, Irbid National University, University of Tikrit, Applied Science Private University

Language: English

Topic: Analytic and geometric function theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4410005297

FWCI: 10.81

Cites:

Cited by: 6

Related to: 10