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与双单叶函数的某些子类相关的费克特 - 塞戈型泛函。

Fekete-Szegö type functionals associated with certain subclasses of bi-univalent functions.

作者信息

Al-Sa'di Sa'ud, Ahmad Ibrar, Shah Syed Ghoos Ali, Hussain Saqib, Noor Saima

机构信息

Department of Mathematics, Faculty of Science, The Hashemite University, Zarqa, 13133, Jordan.

Department of Mathematics, COMSATS University Islamabad, Abbottabad Campus, 22060, Pakistan.

出版信息

Heliyon. 2024 Mar 18;10(7):e28074. doi: 10.1016/j.heliyon.2024.e28074. eCollection 2024 Apr 15.

DOI:10.1016/j.heliyon.2024.e28074
PMID:39668940
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC11636914/
Abstract

In this article, we define and discuss some new subclasses of bi-univalent functions associated with Fibonacci numbers and shell-like curves. We estimate the first two Taylor-Maclaurin coefficients for functions belonging to these classes. We study the inequalities related with Fekete-Szegö type. Furthermore, we point out some corollaries related to existing result.

摘要

在本文中，我们定义并讨论了一些与斐波那契数和壳状曲线相关的双单叶函数的新子类。我们估计了属于这些类别的函数的前两个泰勒 - 麦克劳林系数。我们研究了与费克特 - 塞格类型相关的不等式。此外，我们指出了一些与现有结果相关的推论。

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引用本文的文献

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本文引用的文献

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Heliyon. 2023 Jan 24;9(2):e13177. doi: 10.1016/j.heliyon.2023.e13177. eCollection 2023 Feb.
2
The second and third Hankel determinants for starlike and convex functions associated with Three-Leaf function.与三叶函数相关的星形函数和凸函数的二阶和三阶汉克尔行列式。
Heliyon. 2023 Jan 10;9(1):e12748. doi: 10.1016/j.heliyon.2022.e12748. eCollection 2023 Jan.
3
An application of Mittag-Leffler-type Poisson distribution on certain subclasses of analytic functions associated with conic domains.米塔格 - 莱夫勒型泊松分布在与圆锥域相关的某些解析函数子类上的应用。
Heliyon. 2021 Oct 1;7(10):e08109. doi: 10.1016/j.heliyon.2021.e08109. eCollection 2021 Oct.