Fekete-Szego Functional for Bi-univalent Functions Related with Gegenbauer Polynomials

被引:10
作者
Ahmad, Ibrar [1 ]
Shah, Syed Ghoos Ali [1 ]
Hussain, Saqib [1 ]
Darus, Maslina [2 ]
Ahmad, Babar [3 ]
机构
[1] COMSATS Univ Islamabad, Dept Math, Abbottabad Campus, Islamabad 22060, Pakistan
[2] Univ Kebangsaan Malaysia, Dept Math Sci, Bangi 43600, Selangor, Malaysia
[3] COMSATS Univ Islamabad, Dept Math, Pk Rd, Islamabad, Pakistan
关键词
SUBCLASSES;
D O I
10.1155/2022/2705203
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we introduce and investigate a new subclass of bi-univalent functions related with generating function of Gegenbauer polynomials. We will mainly find bounds on Maclaurin series coefficients for functions belonging to this class. We also study the famous Fekete-Szego type problem for this subclass which is obtained. We will also point out many special cases as corollaries.
引用
收藏
页数:8
相关论文
共 32 条
[1]  
Altinkaya S., 2017, ASIA PAC J MATH, V4, P90
[2]  
Amourah A., 2020, Palestine Journal of Mathematics, V9, P187
[3]  
Amourah A, 2021, GEGENBAUER POLYNOMIA
[4]  
Amourah A., 2019, General Letters in Mathematics, V7, P45
[5]   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)
[6]   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
[7]  
[Anonymous], 2000, Monographs and Textbooks in Pure and Applied Mathematics
[8]  
Bulut S, 2013, Novi Sad J. Math., V43, P59
[9]   Coefficient Estimates for New Subclasses of Analytic and Bi-Univalent Functions Defined by Al-Oboudi Differential Operator [J].
Bulut, Serap .
JOURNAL OF FUNCTION SPACES AND APPLICATIONS, 2013,
[10]  
Caglar M., 2013, FILOMAT, P27