Bounding coe ffi cients for certain subclasses of bi-univalent functions related to Lucas-Balancing polynomials

被引：4

作者：

Hussen, Abdulmtalb ^{[1
]}

Madi, Mohammed S. A. ^{[2
]}

Abominjil, Abobaker M. M. ^{[2
]}

机构：

[1] Navajo Tech Univ, Sch Engn Math & Technol, Crownpoint, NM 87313 USA

[2] Univ Gharyan, Coll Educ, Math Dept, Gharyan City, Libya

来源：

AIMS MATHEMATICS | 2024年 / 9卷 / 07期

关键词：

balancing polynomial; Lucas-Balancing polynomials; bi-univalent functions; analytic functions; Taylor-Maclaurin coe ffi cients; Fekete-Szeg & ouml; functional; SUMS;

D O I：

10.3934/math.2024879

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduced two novel subclasses of bi-univalent functions, M Sigma ( alpha, B( x , xi )) and H Sigma ( alpha, mu, B( x , xi )), utilizing Lucas -Balancing polynomials. Within these function classes, we established bounds for the Taylor -Maclaurin coe ffi cients | a 2 | and | a 3 |, addressing the Fekete-Szeg & ouml; functional problems specific to functions within these new subclasses. Moreover, we illustrated how our primary findings could lead to various new outcomes through parameter specialization.

引用

页码：18034 / 18047

页数：14

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Hussen, Abdulmtalb .

HELIYON, 2024, 10 (10)

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