A Generalization of Gegenbauer Polynomials and Bi-Univalent Functions

被引：30

作者：

Amourah, Ala ^{[1
]}

Alsoboh, Abdullah ^{[2
]}

Ogilat, Osama ^{[3
]}

Gharib, Gharib Mousa ^{[4
]}

Saadeh, Rania ^{[4
]}

Al Soudi, Maha ^{[5
]}

机构：

[1] Irbid Natl Univ, Fac Sci & Technol, Dept Math, Irbid 21110, Jordan

[2] Umm Al Qura Univ, Al Leith Univ Coll, Dept Math, Mecca 24231, Saudi Arabia

[3] Al Ahliyya Amman Univ, Fac Arts & Sci, Dept Basic Sci, Amman 19328, Jordan

[4] Zarqa Univ, Fac Sci, Dept Math, Zarqa 13110, Jordan

[5] Appl Sci Private Univ, Dept Basic Sci Sci, Amman 11931, Jordan

来源：

AXIOMS | 2023年 / 12卷 / 02期

关键词：

Fekete-Szego problem; q-Gegenbauer polynomials; bi-univalent functions; q-calculus; analytic functions;

D O I：

10.3390/axioms12020128

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Three subclasses of analytic and bi-univalent functions are introduced through the use of q-Gegenbauer polynomials, which are a generalization of Gegenbauer polynomials. For functions falling within these subclasses, coefficient bounds |a(2)| and |a(3)| as well as Fekete-Szego inequalities are derived. Specializing the parameters used in our main results leads to a number of new results.

引用

页数：13

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