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

[1] Coefficient Estimates for a New Subclass of Analytic and Bi-Univalent Functions by Hadamard Product [J].

Adegani, Ebrahim Analouei ;

Zireh, Ahmad ;

Jafari, Mostafa .

BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2021, 39 (02) :87-104

[2]

Al Amoush AG, 2023, AFR MAT, V34, DOI 10.1007/s13370-023-01051-x

[3] A New Comprehensive Subclass of Analytic Bi-Univalent Functions Related to Gegenbauer Polynomials [J].

Al-Hawary, Tariq ;

Amourah, Ala ;

Alsoboh, Abdullah ;

Alsalhi, Omar .

SYMMETRY-BASEL, 2023, 15 (03)

[4] Certain Subclasses of Bi-Starlike Function of Complex Order Defined by Erdely-Kober-Type Integral Operator [J].

Alburaikan, Alhanouf ;

Murugusundaramoorthy, Gangadharan ;

El-Deeb, Sheza M. .

AXIOMS, 2022, 11 (05)

[5] Cofficient Bounds for Subclasses of Analytic and Bi-Univalent Functions [J].

Alimohammadi, Davood ;

Cho, Nak Eun ;

Adegani, Ebrahim Analouei .

FILOMAT, 2020, 34 (14) :4709-4721

[6] On Fekete-Szego Problems for Certain Subclasses of Analytic Functions Defined by Differential Operator Involving q-Ruscheweyh Operator [J].

Alsoboh, Abdullah ;

Darus, Maslina .

JOURNAL OF FUNCTION SPACES, 2020, 2020

[7]

Altinkaya S., 2017, ASIA PAC J MATH, V4, P90

[8] Consolidation of a Certain Discrete Probability Distribution with a Subclass of Bi-Univalent Functions Involving Gegenbauer Polynomials [J].

Amourah, Ala ;

Alomari, Mohammad ;

Yousef, Feras ;

Alsoboh, Abdullah .

MATHEMATICAL PROBLEMS IN ENGINEERING, 2022, 2022

[9] Exploiting the Pascal Distribution Series and Gegenbauer Polynomials to Construct and Study a New Subclass of Analytic Bi-Univalent Functions [J].

Amourah, Ala ;

Frasin, Basem Aref ;

Ahmad, Morad ;

Yousef, Feras .

SYMMETRY-BASEL, 2022, 14 (01)

[10] Bi-Bazilevic functions of order θ [J].

Amourah, Ala ;

Frasin, B. A. ;

Murugusundaramoorthy, G. ;

Al-Hawary, Tariq .

AIMS MATHEMATICS, 2021, 6 (05) :4296-4305

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