Coefficient Estimates and Fekete-Szego Functional Inequalities for a Certain Subclass of Analytic and Bi-Univalent Functions

被引：20

作者：

Illafe, Mohamed ^{[1
,2
]}

Amourah, Ala ^{[3
]}

Mohd, Maisarah Haji ^{[1
]}

机构：

[1] Univ Sains Malaysia, Sch Math Sci, Gelugor 11800, Malaysia

[2] Navajo Tech Univ, Sch Engn Math & Technol, Crownpoint, NM 87313 USA

[3] Irbid Natl Univ, Fac Sci & Technol, Dept Math, Irbid 21110, Jordan

来源：

AXIOMS | 2022年 / 11卷 / 04期

关键词：

Gegenbauer polynomials; bi-univalent functions; analytic functions; Fekete-Szego problem;

D O I：

10.3390/axioms11040147

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The present paper introduces a new class of bi-univalent functions defined on a symmetric domain using Gegenbauer polynomials. For functions in this class, we have derived the estimates of the Taylor-Maclaurin coefficients, vertical bar a(2)vertical bar and vertical bar a(3)vertical bar, and the Fekete-Szego functional. Several new results follow upon specializing the parameters involved in our main results.

引用

页数：8

共 31 条

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