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 50 条
  • [21] The second and third Hankel determinants for starlike and convex functions associated with Three-Leaf function
    Riaz, Amina
    Raza, Mohsan
    Binyamin, Muhammad Ahsan
    Saliu, Afis
    HELIYON, 2023, 9 (01)
  • [22] Second Hankel Determinant of Logarithmic Coefficients of Convex and Starlike Functions of Order Alpha
    Kowalczyk, Bogumila
    Lecko, Adam
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2022, 45 (02) : 727 - 740
  • [23] THE SHARP BOUND OF THE SECOND HANKEL DETERMINANT OF LOGARITHMIC COEFFICIENTS FOR STARLIKE AND CONVEX FUNCTIONS
    Allu, Vasudevarao
    Shaji, Amal
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2024,
  • [24] The second Hankel determinant of the logarithmic coefficients of strongly starlike and strongly convex functions
    Bogumiła Kowalczyk
    Adam Lecko
    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2023, 117
  • [25] Second Hankel Determinant of Logarithmic Coefficients of Convex and Starlike Functions of Order Alpha
    Bogumiła Kowalczyk
    Adam Lecko
    Bulletin of the Malaysian Mathematical Sciences Society, 2022, 45 : 727 - 740
  • [26] The second Hankel determinant of the logarithmic coefficients of strongly starlike and strongly convex functions
    Kowalczyk, Bogumila
    Lecko, Adam
    REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2023, 117 (02)
  • [27] A REFINEMENT OF THE THIRD HANKEL DETERMINANT FOR CLOSE-TO-CONVEX FUNCTIONS
    Parida, Laxmipriya
    Bulboaca, Teodor
    Sahoo, Ashok Kumar
    HONAM MATHEMATICAL JOURNAL, 2024, 46 (03): : 515 - 521
  • [28] THE SHARP BOUND FOR THE HANKEL DETERMINANT OF THE THIRD KIND FOR CONVEX FUNCTIONS
    Kowalczyk, Bogumila
    Lecko, Adam
    Sim, Young Jae
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2018, 97 (03) : 435 - 445
  • [29] ON THE THIRD HANKEL DETERMINANT FOR A SUBCLASS OF CLOSE-TO-CONVEX FUNCTIONS
    Sahoo, Pravati
    JORDAN JOURNAL OF MATHEMATICS AND STATISTICS, 2019, 12 (01): : 59 - 73
  • [30] Bounds on third Hankel determinant for close-to-convex functions
    Prajapat, J. K.
    Bansal, Deepak
    Singh, Alok
    Mishra, Ambuj K.
    ACTA UNIVERSITATIS SAPIENTIAE-MATHEMATICA, 2015, 7 (02) : 210 - 219
12345