Second Hankel Determinant for a Certain Subclass of Bi-univalent Functions

被引:11
|
作者
Mustafa, Nizami [1 ]
Mrugusundaramoorthy, Gangadharan [2 ]
Janani, Thambidurai [2 ]
机构
[1] Kafkas Univ, Fac Sci & Letters, Dept Math, TR-36100 Kars, Turkey
[2] VIT Univ, Sch Adv Sci, Vellore 632014, Tamil Nadu, India
关键词
Univalent function; analytic function; bi-univalent function; Hankel determinant; COEFFICIENT; INVERSE; BOUNDS;
D O I
10.1007/s00009-018-1165-1
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we introduce a subclass of analytic and bi-univalent functions in the open unit disk. Here, we give upper bound estimates for the second Hankel determinant of the functions that belong to this class. Some interesting applications and conclusions of the results obtained in this paper are also discussed.
引用
收藏
页数:17
相关论文
共 50 条
  • [1] On the second Hankel determinant of certain subclass of bi-univalent functions
    Atshan, Waggas Galib
    Rahman, Ibtihal Abdul Ridha
    Yalcin, Sibel
    AFRIKA MATEMATIKA, 2025, 36 (02)
  • [2] Second Hankel Determinant for a Certain Subclass of Bi-univalent Functions
    Nizami Mustafa
    Gangadharan Mrugusundaramoorthy
    Thambidurai Janani
    Mediterranean Journal of Mathematics, 2018, 15
  • [3] The second Hankel determinant problem for a certain subclass of bi-univalent functions
    Somayeh Fadaei
    Ali Ebadian
    Ebrahim Analouei Adegani
    Afrika Matematika, 2022, 33
  • [4] The second Hankel determinant problem for a certain subclass of bi-univalent functions
    Fadaei, Somayeh
    Ebadian, Ali
    Adegani, Ebrahim Analouei
    AFRIKA MATEMATIKA, 2022, 33 (02)
  • [5] On Third Hankel Determinant for Certain Subclass of Bi-Univalent Functions
    Shakir, Qasim Ali
    Atshan, Waggas Galib
    SYMMETRY-BASEL, 2024, 16 (02):
  • [6] SECOND HANKEL DETERMINANT FOR A CERTAIN SUBCLASS OF ANALYTIC AND BI-UNIVALENT FUNCTIONS
    Frasin, B. A.
    Vijaya, K.
    Kasthuri, M.
    TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS, 2016, 7 (02): : 185 - 199
  • [7] Bounds for the Second Hankel Determinant of a General Subclass of Bi-Univalent Functions
    Illafe, Mohamed
    Mohd, Maisarah Haji
    Yousef, Feras
    Supramaniam, Shamani
    INTERNATIONAL JOURNAL OF MATHEMATICAL ENGINEERING AND MANAGEMENT SCIENCES, 2024, 9 (05) : 1226 - 1239
  • [8] SECOND HANKEL DETERMINANT FOR A GENERAL SUBCLASS OF BI-UNIVALENT FUNCTIONS
    Altinkaya, Sahsene
    Yalcin, Sibel
    TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS, 2016, 7 (01): : 98 - 104
  • [9] Construction of the second Hankel determinant for a new subclass of bi-univalent functions
    Altinkaya, Sahsene
    Yalcin, Sibel
    TURKISH JOURNAL OF MATHEMATICS, 2018, 42 (06) : 2876 - 2884
  • [10] Second Hankel determinant for certain subclasses of bi-univalent functions involving Chebyshev polynomials
    Orhan, Halit
    Toklu, Evrim
    Kadioglu, Ekrem
    TURKISH JOURNAL OF MATHEMATICS, 2018, 42 (04) : 1927 - 1940