Second Hankel Determinant for the Subclass of Bi-Univalent Functions Using q-Chebyshev Polynomial and Hohlov Operator

被引：18
|
作者：
Al-Shbeil, Isra [1 ]
Shaba, Timilehin Gideon [2 ]
Catas, Adriana [3 ]
机构：
[1] Univ Jordan, Dept Math, Amman 11942, Jordan
[2] Univ Ilorin, Dept Math, Ilorin 240003, Nigeria
[3] Univ Oradea, Dept Math & Comp Sci, 1 Univ St, Oradea 410087, Romania
来源：
FRACTAL AND FRACTIONAL | 2022年 / 6卷 / 04期
关键词：
Hankel determinant; analytic and bi-univalent functions; subordination; Hohlov operator; q-Chebyshev polynomials; coefficient bounds; Fekete-Szego inequalities; COEFFICIENT; STARLIKE; BOUNDARY;
D O I：
10.3390/fractalfract6040186
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The q-derivative and Hohlov operators have seen much use in recent years. First, numerous well-known principles of the q-derivative operator are highlighted and explained in this research. We then build a novel subclass of analytic and bi-univalent functions using the Hohlov operator and certain q-Chebyshev polynomials. A number of coefficient bounds, as well as the Fekete-Szego inequalities and the second Hankel determinant are provided for these newly specified function classes.
引用
收藏
页数：19
相关论文
共 50 条
  • [21] UPPER BOUND OF SECOND HANKEL DETERMINANT FOR A SUBCLASS OF BI-UNIVALENT FUNCTIONS OF COMPLEX ORDER
    Mustafa, Nizami
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2019, 34 (03): : 783 - 797
  • [22] Second Hankel Determinant for a Certain Subclass of λ-Pseudo-Starlike Bi-Univalent Functions
    Wanas, Abbas Kareem
    Majeed, Abdulrahman H.
    IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS, 2021, 16 (02): : 49 - 59
  • [23] Second Hankel determinant for certain class of bi-univalent functions defined by Chebyshev polynomials
    Orhan, H.
    Magesh, N.
    Balaji, V. K.
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2019, 12 (02)
  • [24] Second Hankel determinant for certain subclasses of bi-univalent functions involving Chebyshev polynomials
    Orhan, Halit
    Toklu, Evrim
    Kadioglu, Ekrem
    TURKISH JOURNAL OF MATHEMATICS, 2018, 42 (04) : 1927 - 1940
  • [25] The Second Hankel Determinant Problem for a Class of Bi-Univalent Functions
    Khani, Mohammad Hasan
    Zireh, Ahmad
    Adegani, Ebrahim Analouei
    JOURNAL OF MATHEMATICAL AND FUNDAMENTAL SCIENCES, 2019, 51 (02) : 191 - 203
  • [26] Second Hankel determinant for certain subclasses of bi-univalent functions
    Caglar, Murat
    Deniz, Erhan
    Srivastava, Hari Mohan
    TURKISH JOURNAL OF MATHEMATICS, 2017, 41 (03) : 694 - 706
  • [27] Bounds for the second Hankel determinant of certain bi-univalent functions
    Orhan, Halit
    Magesh, Nanjundan
    Yamini, Jagadeesan
    TURKISH JOURNAL OF MATHEMATICS, 2016, 40 (03) : 679 - 687
  • [28] Bi-Univalent Functions of Complex Order Defined by Hohlov Operator Associated with (P, Q)-Lucas Polynomial
    Muthaiyan, Elumalai
    SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS, 2024, 21 (01): : 273 - 289
  • [29] Certain Subclasses of Bi-univalent Functions Associated with the Chebyshev Polynomials Based on Hohlov Operator
    Murugusundaramoorthy, G.
    Vijaya, K.
    Guney, H. O.
    TBILISI MATHEMATICAL JOURNAL, 2018, 11 (02): : 153 - 166
  • [30] Hankel determinant of a subclass of analytic and bi-univalent functions defined by means of subordination and q-differentiation
    Lasode, Ayotunde Olajide
    Opoola, Timothy Oloyede
    INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2022, 13 (02): : 3105 - 3114
12345