Work

Fekete-Szegö Inequality for a Subclass of Bi-Univalent Functions Linked to q-Ultraspherical Polynomials

Year: 2024

Type: article

Abstract: In this study, we introduce a new class of bi-univalent functions using q-Ultraspherical polynomials. We derive the Fekete and Szegö functional problems for functions in this new subclass, as well as estimates for the Taylor-Maclaurin coefficients |α2| and |α3|. Furthermore, a collection of fresh outcomes is presented by customizing the parameters employed in our initial discoveries.

Source: Contemporary Mathematics

DOI: 10.37256/cm.5220243737

Authors: Abdullah Alsoboh, Murat Çağlar, Mucahit Buyankara

Institutions: Philadelphia University, Erzurum Technical University, Bingöl University

Language: English

Topic: Analytic and geometric function theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4398780752

FWCI: 4.346

Cites: 22

Cited by: 9

Related to: 10