Fourth Hankel Determinant Problem Based on Certain Analytic Functions

被引:4
|
作者
Tang, Huo [1 ]
Arif, Muhammad [2 ]
Haq, Mirajul [2 ]
Khan, Nazar [3 ]
Khan, Mustaqeem [2 ]
Ahmad, Khurshid [4 ]
Khan, Bilal [5 ,6 ]
机构
[1] Chifeng Univ, Sch Math & Comp Sci, Chifeng 024000, Peoples R China
[2] Abdul Wali Khan Univ Mardan, Dept Math, Mardan 23200, Pakistan
[3] Abbottabad Univ Sci & Technol, Dept Math, Abbottabad 22010, Pakistan
[4] Govt Postgrad Coll, Dept Math, Dargai 23060, Pakistan
[5] East China Normal Univ, Sch Math Sci, 500 Dongchuan Rd, Shanghai 200241, Peoples R China
[6] East China Normal Univ, Shanghai Key Lab PMMP, 500 Dongchuan Rd, Shanghai 200241, Peoples R China
来源
SYMMETRY-BASEL | 2022年 / 14卷 / 04期
关键词
univalent functions; starlike function; subordination; fourth Hankel determinant; COEFFICIENT;
D O I
10.3390/sym14040663
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
In recent years, the Hankel determinant bounds for different subclasses of analytic, starlike and symmetric starlike functions have been discussed and studied by the many well-known authors. In this paper, we first consider a new subclass of analytic function and then we derive the fourth Hankel determinant bound for this class.
引用
收藏
页数:17
相关论文
共 50 条
  • [1] New concept on fourth Hankel determinant of a certain subclass of analytic functions
    Rahman, Ibtihal Abdul Ridha
    Atshan, Waggas Galib
    Oros, Georgia Irina
    AFRIKA MATEMATIKA, 2022, 33 (01)
  • [2] New concept on fourth Hankel determinant of a certain subclass of analytic functions
    Ibtihal Abdul Ridha Rahman
    Waggas Galib Atshan
    Georgia Irina Oros
    Afrika Matematika, 2022, 33
  • [3] INITIAL COEFFICIENTS AND FOURTH HANKEL DETERMINANT FOR CERTAIN ANALYTIC FUNCTIONS
    Cho, Nak Eun
    Kumar, Virendra
    MISKOLC MATHEMATICAL NOTES, 2020, 21 (02) : 763 - 779
  • [4] New results of modern concept on the fourth-Hankel determinant of a certain subclass of analytic functions
    Theyab, Sarab Dakhil
    Atshan, Waggas Galib
    Abdullah, Habeeb Kareem
    INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2021, 12 : 2243 - 2255
  • [5] SHARP BOUNDS ON THE HANKEL DETERMINANT OF THE INVERSE FUNCTIONS FOR CERTAIN ANALYTIC FUNCTIONS
    Shi, Lei
    Arif, Muhammad
    Srivastava, H. M.
    Ishan, Muhammad
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2023, 17 (03): : 1129 - 1143
  • [6] A certain class of analytic functions and the growth rate of Hankel determinant
    Ul-Haq, Wasim
    Noor, Khalida Inayat
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2012,
  • [7] Second Hankel determinant for a certain subclass of analytic functions defined by hypergeometric functions
    Orhan, Halit
    Caglar, Murat
    Arikan, Hava
    AFRIKA MATEMATIKA, 2023, 34 (02)
  • [8] Hankel determinant for certain new classes of analytic functions associated the activation functions
    Sun, YueJuan
    Arif, Muhammad
    Ullah, Khalil
    Shi, Lei
    Faisal, Muhammad Imran
    HELIYON, 2023, 9 (11)
  • [9] Second Hankel determinant for a certain subclass of analytic functions defined by hypergeometric functions
    Halit Orhan
    Murat Çağlar
    Hava Arıkan
    Afrika Matematika, 2023, 34
  • [10] SECOND-HANKEL DETERMINANT OF LOGARITHMIC COEFFICIENTS OF CERTAIN ANALYTIC FUNCTIONS
    Allu, Vasudevarao
    Arora, Vibhuti
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2024, 54 (02) : 343 - 359