Fekete-Szego problem and Second Hankel Determinant for a class of bi-univalent functions

被引:15
|
作者
Magesh, N. [1 ]
Yamini, J. [2 ]
机构
[1] Govt Arts Coll Men, Postgrad & Res Dept Math, Krishnagiri 635001, India
[2] Govt First Grade Coll, Dept Math, Bangalore 560104, Karnataka, India
来源
TBILISI MATHEMATICAL JOURNAL | 2018年 / 11卷 / 01期
关键词
Bi-univalent functions; bi-convex functions; Fekete-Szego inequalities; Hankel determinants;
D O I
10.32513/tbilisi/1524276036
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we define a subclass of bi-univalent functions. Further, we find the estimates on the bounds vertical bar a(2)vertical bar and vertical bar a(3)vertical bar, the Fekete-Szego inequalities and the second Hankel determinant inequality for defined class of bi-univalent functions.
引用
收藏
页码:141 / 157
页数:17
相关论文
共 50 条
  • [1] Fekete-Szego Problem and Second Hankel Determinant for a Class of Bi-Univalent Functions Involving Euler Polynomials
    Riaz, Sadia
    Shaba, Timilehin Gideon
    Xin, Qin
    Tchier, Fairouz
    Khan, Bilal
    Malik, Sarfraz Nawaz
    [J]. FRACTAL AND FRACTIONAL, 2023, 7 (04)
  • [2] On the Fekete-Szego problem for classes of bi-univalent functions
    Zaprawa, Pawel
    [J]. BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2014, 21 (01) : 169 - 178
  • [3] Fekete-Szego problem for some subclasses of bi-univalent functions
    Soren, Madan Mohan
    Barik, Sarbeswar
    Mishra, Akshaya Kumar
    [J]. JOURNAL OF ANALYSIS, 2021, 29 (01): : 147 - 162
  • [4] The Second Hankel Determinant Problem for a Class of Bi-Univalent Functions
    Khani, Mohammad Hasan
    Zireh, Ahmad
    Adegani, Ebrahim Analouei
    [J]. JOURNAL OF MATHEMATICAL AND FUNDAMENTAL SCIENCES, 2019, 51 (02) : 191 - 203
  • [5] Second Hankel determinant with Fekete-Szego parameter for some subclasses of bi-univalent functions using a symmetric q-derivative operator
    Laxmi, K. Rajya
    Sharma, R. Bharavi
    [J]. TBILISI MATHEMATICAL JOURNAL, 2021, 14 (03) : 41 - 57
  • [6] Coefficient bounds and Fekete-Szego problem for qualitative subclass of bi-univalent functions
    Al-Hawary, Tariq
    [J]. AFRIKA MATEMATIKA, 2022, 33 (01)
  • [7] Fekete-Szego Inequalities for Certain Subclasses of Bi-Univalent Functions
    Omar, Rashidah
    Rossdy, Munirah
    Halim, Suzeini Abdul
    [J]. 14TH INTERNATIONAL SYMPOSIUM ON GEOMETRIC FUNCTION THEORY AND APPLICATIONS, 2019, 1212
  • [8] Fekete-Szego Problem and Upper Bound of Second Hankel Determinant for a New Class of Analytic Functions
    Bansal, Deepak
    [J]. KYUNGPOOK MATHEMATICAL JOURNAL, 2014, 54 (03): : 443 - 452
  • [9] Fekete-Szego Functional for Bi-univalent Functions Related with Gegenbauer Polynomials
    Ahmad, Ibrar
    Shah, Syed Ghoos Ali
    Hussain, Saqib
    Darus, Maslina
    Ahmad, Babar
    [J]. JOURNAL OF MATHEMATICS, 2022, 2022
  • [10] Coefficient and Fekete-Szego Problem Estimates for Certain Subclass of Analytic and Bi-Univalent Functions
    Mahzoon, Hesam
    [J]. FILOMAT, 2020, 34 (14) : 4637 - 4647