Coefficient Bounds and Fekete–Szegö Inequalities for a Two Families of Bi-Univalent Functions Related to Gegenbauer Polynomials-Reference-Cited by-同舟云学术

Coefficient Bounds and Fekete–Szegö Inequalities for a Two Families of Bi-Univalent Functions Related to Gegenbauer Polynomials

Published:2023-10-29 Issue:11 Volume:12 Page:1018
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Almalki Yahya¹^ORCID,Wanas Abbas Kareem²^ORCID,Shaba Timilehin Gideon³^ORCID,Alb Lupaş Alina⁴^ORCID,Abdalla Mohamed⁵^ORCID

Affiliation:

1. Department of Mathematics, College of Science, King Khalid University, Abha 61413, Saudi Arabia

2. Department of Mathematics, College of Science, University of Al-Qadisiyah, Al Diwaniyah 58001, Iraq

3. Department of Physical Sciences, Landmark University, Omu-Aran 251103, Nigeria

4. Department of Mathematics and Computer Science, University of Oradea, Str. Universitatii nr. 1, 410087 Oradea, Romania

5. Department of Mathematics, Faculty of Science, South Valley University, Qena 83523, Egypt

Abstract

The purpose of this article is to introduce and study certain families of normalized certain functions with symmetric points connected to Gegenbauer polynomials. Moreover, we determine the upper bounds for the initial Taylor–Maclaurin coefficients |a2| and |a3| and resolve the Fekete–Szegöproblem for these functions. In addition, we establish links to a few of the earlier discovered outcomes.

Funder

King Khalid University, Abha, Saudi Arabia

Publisher

MDPI AG

Subject

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

Link

https://www.mdpi.com/2075-1680/12/11/1018/pdf

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3. Doman, B.G.S. (2015). The Classical Orthogonal Polynomials, World Scientific.

4. The Gegenbauer polynomials and typically real functions;Kiepiela;J. Comput. Appl. Math.,2003

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