Bounds for the Second Hankel Determinant of a General Subclass of Bi-Univalent Functions

被引：0
|
作者：
Illafe, Mohamed [1 ,2 ]
Mohd, Maisarah Haji [1 ]
Yousef, Feras [3 ,4 ]
Supramaniam, Shamani [1 ]
机构：
[1] Univ Sains Malaysia, Sch Math Sci, George Town 11800, Malaysia
[2] Navajo Tech Univ, Sch Math Engn & Technol, Lowerpoint Rd State Hwy 371, Crownpoint, NM 87313 USA
[3] Univ Jordan, Dept Math, Amman 11942, Jordan
[4] Jadara Univ, Jadara Univ Res Ctr, Irbid 21110, Jordan
来源：
INTERNATIONAL JOURNAL OF MATHEMATICAL ENGINEERING AND MANAGEMENT SCIENCES | 2024年 / 9卷 / 05期
关键词：
Hankel determinant; Gegenhauer polynomials; Bi-univalent function; Fekete-Szeg & ouml; functional; TO-CONVEX FUNCTIONS;
D O I：
10.33889/IJMEMS.2024.9.5.065
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The Hankel determinant, which plays a significant role in the theory of univalent functions, is investigated here in the context bi-univalent analytic functions. Specifically, this paper is dedicated to deriving an upper-bound estimate for the second-order Hankel determinant for a general subclass of bi-univalent analytic functions that incorporate Gegenbauer polynomials within unit disk. Through the careful specialization of parameters in our main result, we unveil several novel findings.
引用
收藏
页码：1226 / 1239
页数：14
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