HANKEL DETERMINANT FOR A CLASS OF ANALYTIC FUNCTIONS RELATED WITH LEMNISCATE OF BERNOULLI

被引:0
|
作者
Sahoo, Ashok Kumar [1 ]
Patel, Jagannath [2 ]
机构
[1] Veer Surendra Sai Univ Technol, Dept Math, Sidhi Vihar 768018, Burla, India
[2] Utkal Univ, Dept Math, Bhubaneswar 751004, Orissa, India
关键词
Analytic function; Subordination; Fekete-Szego problem; Hankel determinant;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The object of the present investigation is to solve Fekete-Szego problem and determine the sharp upper bound to the second Hankel determinant for a new class R of analytic functions in the unit disk.
引用
收藏
页码:170 / 177
页数:8
相关论文
共 50 条
  • [1] Upper bound of the third Hankel determinant for a class of analytic functions related with lemniscate of Bernoulli
    Raza M.
    Malik S.N.
    [J]. Journal of Inequalities and Applications, 2013 (1)
  • [2] Hankel Determinant and Toeplitz Determinant on the Class of Bazilevic Functions Related to the Bernoulli Lemniscate
    Asih, Ni Made
    Fitri, Sa'adatul
    Wibowo, Ratno Bagus Edy
    Marjono
    [J]. EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2023, 16 (02): : 1290 - 1301
  • [3] Third Hankel Determinant for a Subfamily of Holomorphic Functions Related with Lemniscate of Bernoulli
    Orhan, Halit
    Caglar, Murat
    Cotirla, Luminita-Ioana
    [J]. MATHEMATICS, 2023, 11 (05)
  • [4] On fourth Hankel determinant for functions associated with Bernoulli's lemniscate
    Arif, Muhammad
    Umar, Sadaf
    Raza, Mohsan
    Bulboaca, Teodor
    Farooq, Muhammad Umar
    Khan, Hasan
    [J]. HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2020, 49 (05): : 1777 - 1787
  • [5] Third Hankel Determinant for a Subclass of Univalent Functions Associated with Lemniscate of Bernoulli
    Ullah, Najeeb
    Ali, Irfan
    Hussain, Sardar Muhammad
    Ro, Jong-Suk
    Khan, Nazar
    Khan, Bilal
    [J]. FRACTAL AND FRACTIONAL, 2022, 6 (01)
  • [6] The sharp bound for the third Hankel determinant of the inverse of functions associated with lemniscate of Bernoulli
    Viswanadh, G. K. Surya
    Rath, Biswajit
    Kumar, K. Sanjay
    Krishna, D. Vamshee
    [J]. ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2023, 16 (07)
  • [7] Coefficient Inequalities For A Class Of Analytic Functions Associated With The Lemniscate Of Bernoulli
    Panigrahi, Trailokya
    Sokol, Janusz
    [J]. BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2019, 37 (04): : 83 - 95
  • [8] Upper Bound of Hankel Determinant for a Class of Analytic Functions
    Akyel, Tugba
    [J]. FILOMAT, 2021, 35 (11) : 3713 - 3720
  • [9] FURTHER RESULTS ON A CLASS OF STARLIKE FUNCTIONS RELATED TO THE BERNOULLI LEMNISCATE
    Sokol, Janusz
    Thomas, Derek K.
    [J]. HOUSTON JOURNAL OF MATHEMATICS, 2018, 44 (01): : 83 - 95
  • [10] On analytic multivalent functions associated with lemniscate of Bernoulli
    Khan, Qaiser
    Arif, Muhammad
    Ahmad, Bakhtiar
    Tang, Huo
    [J]. AIMS MATHEMATICS, 2020, 5 (03): : 2261 - 2271