APPLICATION OF GEGENBAUER POLYNOMIALS TO CERTAIN CLASSES OF BI-UNIVALENT FUNCTIONS OF ORDER ν

被引：1
|
作者：
Alnajar, Omar [1 ]
Amourah, Ala [2 ]
Darus, Maslina [1 ]
机构：
[1] Univ Kebangsaan Malaysia, Fac Sci & Technol, Dept Math Sci, Bangi 43600, Malaysia
[2] Sohar Univ, Fac Educ & Arts, Math Educ Program, Sohar 3111, Oman
来源：
KOREAN JOURNAL OF MATHEMATICS | 2024年 / 32卷 / 01期
关键词：
bi-univalent functions; Holomorphic functions; Gegenbauer polynomials; Fekete and Szego problem; SUBCLASSES; STARLIKE;
D O I：
10.11568/kjm.2024.32.1.183
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, a new class of bi-univalent functions that are described by Gegenbauer polynomials is presented. We obtain the estimates of the Taylor-Maclaurin coefficients |m(2)| and |m(3)| for each function in this class of bi-univalent functions. In addition, the Fekete-Szego problems function new are also studied.
引用
收藏
页码：183 / 193
页数：11
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