The Sharp Bound of the Third Hankel Determinant for Starlike Functions of Order 1/2

被引:0
|
作者
Biswajit Rath
K. Sanjay Kumar
D. Vamshee Krishna
Adam Lecko
机构
[1] GITAM (Deemed to be University),Department of Mathematics, GITAM School of Science
[2] University of Warmia and Mazury in Olsztyn,Department of Complex Analysis
来源
关键词
Holomorphic function; Univalent function; Hankel determinant; Starlike function of order 1/2; Carathéodory function; 30C45; 30C50;
D O I
暂无
中图分类号
学科分类号
摘要
The objective of this paper is to find the best possible upper bound of the third Hankel determinant for starlike function of order 1/2,  thus correcting the proof in Lecko et al. (Complex Anal Oper Theory 13(5):2231–2238, 2019).
引用
收藏
相关论文
共 50 条
  • [1] The Sharp Bound of the Third Hankel Determinant for Starlike Functions of Order 1/2
    Rath, Biswajit
    Kumar, K. Sanjay
    Krishna, D. Vamshee
    Lecko, Adam
    COMPLEX ANALYSIS AND OPERATOR THEORY, 2022, 16 (05)
  • [2] The Sharp Bound of the Hankel Determinant of the Third Kind for Starlike Functions of Order 1 / 2
    Adam Lecko
    Young Jae Sim
    Barabara Śmiarowska
    Complex Analysis and Operator Theory, 2019, 13 : 2231 - 2238
  • [3] The Sharp Bound of the Hankel Determinant of the Third Kind for Starlike Functions of Order 1/2
    Lecko, Adam
    Sim, Young Jae
    Smiarowska, Barabara
    COMPLEX ANALYSIS AND OPERATOR THEORY, 2019, 13 (05) : 2231 - 2238
  • [4] The sharp bound of the third Hankel determinant for starlike functions
    Kowalczyk, Bogumila
    Lecko, Adam
    Thomas, Derek K.
    FORUM MATHEMATICUM, 2022, 34 (05) : 1249 - 1254
  • [5] The Sharp Bound of the Hankel Determinant of the Third Kind for Starlike Functions with Real Coefficients
    Kwon, Oh Sang
    Sim, Young Jae
    MATHEMATICS, 2019, 7 (08)
  • [6] THE SHARP BOUND OF THE THIRD HANKEL DETERMINANT FOR CONVEX FUNCTIONS OF ORDER-1/2
    Kowalczyk, Bogumila
    Lecko, Adam
    Thomas, Derek K.
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2023, 17 (01): : 191 - 204
  • [7] The Bound of the Hankel Determinant of the Third Kind for Starlike Functions
    Kwon, Oh Sang
    Lecko, Adam
    Sim, Young Jae
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2019, 42 (02) : 767 - 780
  • [8] The Bound of the Hankel Determinant of the Third Kind for Starlike Functions
    Oh Sang Kwon
    Adam Lecko
    Young Jae Sim
    Bulletin of the Malaysian Mathematical Sciences Society, 2019, 42 : 767 - 780
  • [9] On Sharp Estimate of Third Hankel Determinant for a Subclass of Starlike Functions
    Shi, Lei
    Arif, Muhammad
    Ullah, Khalil
    Alreshidi, Naseer
    Shutaywi, Meshal
    FRACTAL AND FRACTIONAL, 2022, 6 (08)
  • [10] The sharp bound of the third Hankel determinant for functions of bounded turning
    Bogumiła Kowalczyk
    Adam Lecko
    Boletín de la Sociedad Matemática Mexicana, 2021, 27