Subclasses of bi-univalent functions subordinate to gegenbauer polynomials

被引：3

作者：

Amourah, Ala ^{[1
]}

Salleh, Zabidin ^{[2
]}

Frasin, B. A. ^{[3
]}

Khan, Muhammad Ghaffar ^{[4
]}

Ahmad, Bakhtiar ^{[5
]}

机构：

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

[2] Univ Malaysia Terengganu, Fac Ocean Engn Technol & Informat, Dept Math, Kuala Nerus 21030, Terenggunu, Malaysia

[3] Al Al Bayt Univ, Fac Sci, Dept Math, Mafraq, Jordan

[4] Kohat Univ Sci & Technol, Kohat, Pakistan

[5] Govt Degree Coll Mardan, Mardan 23200, Pakistan

来源：

AFRIKA MATEMATIKA | 2023年 / 34卷 / 03期

关键词：

Gegenbauer polynomials; Bi-univalent functions; Analytic functions; Fekete-Szego problem; COEFFICIENT;

D O I：

10.1007/s13370-023-01082-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present paper, we introduce three new classes of bi-univalent functions defined by means of Gegenbauer polynomials. For functions in each of these three bi-univalent function classes, we have derived the estimates of the Taylor-Maclaurin coefficients |a(2)| and |a(3)| and Fekete-Szego functional problems for functions belonging to these new subclasses. A number of new results are shown to follow upon specializing the parameters involved in our main results.

引用

页数：14

共 41 条

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