A family of Analytic Functions Subordinate to Horadam Polynomials

IF 1 Q1 MATHEMATICS
Waleed AlRawashdeh
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引用次数: 0

Abstract

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.
从属于霍拉丹多项式的解析函数族
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。
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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来源期刊
CiteScore
1.30
自引率
28.60%
发文量
156
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