Coefficient Bounds for a Certain Subclass of Bi-Univalent Functions Associated with Lucas-Balancing Polynomials

被引：11
作者：
Hussen, Abdulmtalb [1 ]
Illafe, Mohamed [1 ]
机构：
[1] Navajo Tech Univ, Sch Engn Math & Technol, Lowerpoint Rd State Hwy 371, Crownpoint, NM 87313 USA
来源：
MATHEMATICS | 2023年 / 11卷 / 24期
关键词：
Balancing polynomial; Lucas-Balancing polynomials; bi-univalent functions; analytic functions; Taylor-Maclaurin coefficients; Fekete-Szego functional; SUMS;
D O I：
10.3390/math11244941
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we introduce a new subclass of bi-univalent functions defined using Lucas-Balancing polynomials. For functions in each of these bi-univalent function subclasses, we derive estimates for the Taylor-Maclaurin coefficients a2 and a3 and address the Fekete-Szego functional problems for functions belonging to this new subclass. We demonstrate that several new results can be derived by specializing the parameters in our main findings. The results obtained from this study will enrich the theoretical foundation of this field and open new avenues for mathematical inquiry and application.
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页数：8
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