A New Subclass of Bi-Univalent Functions Defined by a Certain Integral Operator-Reference-Cited by-同舟云学术

A New Subclass of Bi-Univalent Functions Defined by a Certain Integral Operator

Published:2023-02-08 Issue:2 Volume:12 Page:172
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Breaz Daniel¹,Orhan Halit²,Cotîrlă Luminiţa-Ioana³^ORCID,Arıkan Hava²

Affiliation:

1. Department of Mathematics, “1 Decembrie 1918” University of Alba-Iulia, 510009 Alba Iulia, Romania

2. Department of Mathematics, Faculty of Science, Atatürk University, 25040 Erzurum, Turkey

3. Department of Mathematics, Technical University of Cluj-Napoca, 400114 Cluj-Napoca, Romania

Abstract

We introduce a comprehensive subfamily of analytic and bi-univalent functions in this study using Horadam polynomials and the q-analog of the Noor integral operator. We establish upper bounds for the absolute values of the second and the third coefficients and the Fekete–Szegö functional for the functions belonging to this family. Various observations of the results presented here are also discussed.

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/12/2/172/pdf

Reference48 articles.

1. Eine Bemerkung über ungerade schlichte Funktionen;Fekete;J. Lond. Math. Soc.,1933

2. The Fekete-Szegö inequality by a variational method;Pfluger;Ann. Acad. Sci. Fenn. Ser. A I Math.,1984

3. Duren, P.L. (1983). Univalent Functions, Springer. Grundlehren der Mathematischen Wissenschaften.

4. On a coefficient problem for bi-univalent functions;Lewin;Proc. Am. Math. Soc.,1967

5. Brannan, D.A., and Clunie, J.G. (1980). Proceedings of the NATO Advanced Study Institute Held at the University of Durham, Academic Press.

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A Variational Theory for Biunivalent Holomorphic Functions;Axioms;2024-09-13

2. Initial Coefficients Estimates and Fekete–Szegö Inequality Problem for a General Subclass of Bi-Univalent Functions Defined by Subordination;Axioms;2023-02-23