与格根鲍尔多项式相关的双等价函数子类的 Fekete-Szegö 函数

IF 1 Q1 MATHEMATICS

European Journal of Pure and Applied Mathematics Pub Date : 2024-01-31 DOI:10.29020/nybg.ejpam.v17i1.5004

Waleed AlRawashdeh

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引用次数: 2

摘要

在本文中，我们引入并研究了一类依赖于 Ruscheweyh 算子的双等价函数，用 $\mathcal{F}(n, \alpha, \beta)$ 表示。对于这类函数，我们推导出初始泰勒-麦克劳林系数 $|a_2|$ 和 $|a_3|$ 的估计值。此外，我们还得到了属于这一类函数的经典 Fekete-Szeg\"{o} 不等式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

In this paper, we introduce and investigate a class of bi-univalent functions, denoted by $\mathcal{F}(n, \alpha, \beta)$, that depends on the Ruscheweyh operator. 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-Szeg\"{o} inequality of functions belonging to this class.

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来源期刊

European Journal of Pure and Applied Mathematics MATHEMATICS-

CiteScore

1.30

自引率

28.60%

发文量

156