Subclasses of bi-univalent functions subordinate to gegenbauer polynomials

被引：6

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

[11] Fekete-Szego Inequality for Analytic and Biunivalent Functions Subordinate to Gegenbauer Polynomials [J].

Amourah, Ala ;

Frasin, Basem Aref ;

Abdeljawad, Thabet .

JOURNAL OF FUNCTION SPACES, 2021, 2021

[12]

Amourah A, 2021, AFR MAT, V32, P1059, DOI 10.1007/s13370-021-00881-x

[13]

[Anonymous], 2013, Novi Sad J. Math.

[14]

Babalola K.O., 2013, J. Class. Anal., V3, P137

[15]

Bateman H., 1953, Higher Transcendental Functions. Vol. II, VI

[16]

Brannan D. A., 1980, P NATO ADV STUDY I H

[17]

Bulut S., 2017, J. Fract. Calc. Appl., V8, P32

[18]

Bulut S, 2017, J CLASS ANAL, V11, P83, DOI DOI 10.7153/JCA-11-06

[19]

Doman B., 2015, CLASSICAL ORTHOGONAL, DOI [10.1142/9700, DOI 10.1142/9700]

[20]

Fekete M., 1933, Journal of London Mathematical Society, Vs1-8, P85, DOI [10.1112/jlms/s1-8.2.85, DOI 10.1112/JLMS/S1-8.2.85]

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