Fekete-Szego Functional of a Subclass of Bi-Univalent Functions Associated with Gegenbauer Polynomials

被引：8

作者：

Al-Rawashdeh, Waleed ^{[1
]}

机构：

[1] Zarqa Univ, Fac Sci, Dept Math, Zarqa 13110, Jordan

来源：

EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2024年 / 17卷 / 01期

关键词：

Analytic Functions; Taylor-Maclaurin Series; Univalent and Bi- Univalent Functions; Principle of Subordination; Hadamard Product; Ruscheweyh Operator; Ruscheweyh Derivative; Gegenbauer Polynomials; Chebyshev polynomials; Coefficient estimates; Fekete-Szego center dot Inequality; COEFFICIENT;

D O I：

10.29020/nybg.ejpam.v17i1.5004

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce and investigate a class of bi-univalent functions, denoted by F(n, alpha, beta), that depends on the Ruscheweyh operator and defined by the use of Gegenbauer Polynomials. For functions in this class, we derive the estimations for the initial Taylor -Maclaurin coefficients |a(2)| and |a(3)|. Moreover, we obtain the classical Fekete-Szego inequality of functions belonging to this class.

引用

页码：105 / 115

页数：11

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