从属于霍拉丹多项式的解析函数族

IF 1 Q1 MATHEMATICS European Journal of Pure and Applied Mathematics Pub Date : 2024-01-31 DOI:10.29020/nybg.ejpam.v17i1.5022

Waleed AlRawashdeh

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引用次数: 0

摘要

在本文中，我们引入并研究了一个由霍拉丹多项式定义的解析函数族，用$\mathcal{F}(\Pi, \alpha, \beta, \lambda, \delta, \mu)$表示。对于这个族中的函数，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，我们还得到了属于该族函数的经典 Fekete-Szeg\"{o} 不等式。

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A family of Analytic Functions Subordinate to Horadam Polynomials

In this paper, we introduce and investigate a family of analytic functions, denoted by $\mathcal{F}(\Pi, \alpha, \beta, \lambda, \delta, \mu)$, defined by means of Horadam polynomials. For functions in this family, 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 family.

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