The third Hankel determinant for starlike and convex functions associated with lune

被引：7
作者：
Riaz, Amina [1 ]
Raza, Mohsan [2 ]
机构：
[1] COMSATS Univ Islamabad, Dept Math, Lahore Campus, Lahore, Pakistan
[2] Govt Coll Univ, Dept Math, Faisalabad, Pakistan
来源：
BULLETIN DES SCIENCES MATHEMATIQUES | 2023年 / 187卷
关键词：
Starlike functions; Convex functions; Lune; Hankel determinant; COEFFICIENTS; INVERSE; BOUNDS; KIND;
D O I：
10.1016/j.bulsci.2023.103289
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, sharp bounds on the Hankel determinant are given for the functions f of the form f (z) = z +a2z2 +& BULL; & BULL; & BULL; such that zf' (z) /f (z) or 1 + zf'' (z) /f' (z) are subordinated by z +& RADIC;1 + z2. & COPY; 2023 Elsevier Masson SAS. All rights reserved.
引用
收藏
页数：18
相关论文
共 24 条
  • [1] [Anonymous], 2013, J. Inequalities Appl, DOI [DOI 10.1186/1029-242X-2013-412, 10.1186/1029-242X-2013-412]
  • [2] Babalola KO, 2010, INEQUAL THEORY APPL, P1
  • [3] THE SHARP BOUNDS OF THE SECOND AND THIRD HANKEL DETERMINANTS FOR THE CLASS SL
    Banga, Shagun
    Kumar, S. Sivaprasad
    [J]. MATHEMATICA SLOVACA, 2020, 70 (04) : 849 - 862
  • [4] THIRD ORDER HANKEL DETERMINANT FOR CERTAIN UNIVALENT FUNCTIONS
    Bansal, Deepak
    Maharana, Sudhananda
    Prajapat, Jugal Kishore
    [J]. JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2015, 52 (06) : 1139 - 1148
  • [5] INITIAL COEFFICIENTS AND FOURTH HANKEL DETERMINANT FOR CERTAIN ANALYTIC FUNCTIONS
    Cho, Nak Eun
    Kumar, Virendra
    [J]. MISKOLC MATHEMATICAL NOTES, 2020, 21 (02) : 763 - 779
  • [6] Coefficient bounds for certain subclasses of starlike functions
    Cho, Nak Eun
    Kumar, Virendra
    Kwon, Oh Sang
    Sim, Young Jae
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2019, 2019 (01)
  • [7] Gandhi S, 2017, ASIAN-EUR J MATH, V10, DOI 10.1142/S1793557117500644
  • [8] THE SHARP BOUND OF THE THIRD HANKEL DETERMINANT FOR SOME CLASSES OF ANALYTIC FUNCTIONS
    Kowalczyk, Bogumila
    Lecko, Adam
    Lecko, Millenia
    Sim, Young Jae
    [J]. BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2018, 55 (06) : 1859 - 1868
  • [9] THE SHARP BOUND FOR THE HANKEL DETERMINANT OF THE THIRD KIND FOR CONVEX FUNCTIONS
    Kowalczyk, Bogumila
    Lecko, Adam
    Sim, Young Jae
    [J]. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2018, 97 (03) : 435 - 445
  • [10] The Bound of the Hankel Determinant of the Third Kind for Starlike Functions
    Kwon, Oh Sang
    Lecko, Adam
    Sim, Young Jae
    [J]. BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2019, 42 (02) : 767 - 780
123