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米勒 - 罗斯泊松分布及其在与霍拉达姆多项式相关的某些双单叶函数类中的应用。

The Miller-Ross Poisson distribution and its applications to certain classes of bi-univalent functions related to Horadam polynomials.

作者信息

Alnajar Omar, Ogilat Osama, Amourah Ala, Darus Maslina, Alatawi Maryam Salem

机构信息

Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi 43600, Malaysia.

Department of Basic Sciences, Faculty of Arts and Science, Al-Ahliyya Amman University, Amman 19328, Jordan.

出版信息

Heliyon. 2024 Mar 20;10(7):e28302. doi: 10.1016/j.heliyon.2024.e28302. eCollection 2024 Apr 15.

DOI:10.1016/j.heliyon.2024.e28302
PMID:38689983
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC11059532/
Abstract

Within the scope of this research, we introduce a novel category of bi-univalent functions. Horadam polynomials are utilized to characterize these functions by utilizing series from the Poisson distribution of the Miller-Ross type. Functions from these new categories have been used to construct estimates for the Fekete-Szego functional, as well as estimates of the Taylor-Maclaurin coefficients and . These projections were created for the methods in each of these brand-new subclasses. We made some additional discoveries after, focusing on the traits that contributed to our initial findings.

摘要

在本研究范围内，我们引入了一类新颖的双单叶函数。利用霍拉达姆多项式，通过使用米勒 - 罗斯型泊松分布的级数来刻画这些函数。这些新类别中的函数已被用于构建费克特 - 塞戈泛函的估计，以及泰勒 - 麦克劳林系数和的估计。为这些全新子类中的每一个方法创建了这些投影。之后我们又有了一些其他发现，重点关注促成我们最初发现的特征。