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
  • [31] SECOND HANKEL DETERMINANT OF THE LOGARITHMIC COEFFICIENTS FOR A SUBCLASS OF UNIVALENT FUNCTIONS
    Srivastava, Hari mohan
    Eker, Sevtap sumer
    Seker, Bilal
    Cekic, Bilal
    MISKOLC MATHEMATICAL NOTES, 2024, 25 (01) : 479 - 488
  • [32] Bounds for the second Hankel determinant of certain univalent functions
    See Keong Lee
    V Ravichandran
    Shamani Supramaniam
    Journal of Inequalities and Applications, 2013
  • [33] Hankel Determinant for a Subclass of Bi-Univalent Functions Defined by Using a Symmetric q-Derivative Operator
    Srivastava, H. M.
    Altinkaya, Sahsene
    Yalcin, Sibel
    FILOMAT, 2018, 32 (02) : 503 - 516
  • [34] Bounds for the second Hankel determinant of certain univalent functions
    Lee, See Keong
    Ravichandran, V.
    Supramaniam, Shamani
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [35] Hankel determinant of a subclass of analytic and bi-univalent functions defined by means of subordination and q-differentiation
    Lasode, Ayotunde Olajide
    Opoola, Timothy Oloyede
    INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2022, 13 (02): : 3105 - 3114
  • [36] COEFFICIENT BOUNDS FOR A CERTAIN SUBCLASS OF ANALYTIC AND BI-UNIVALENT FUNCTIONS
    Mustafa, Nizami
    Nezir, Veysel
    COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2019, 68 (02): : 1492 - 1505
  • [37] Coefficient estimates for a certain subclass of analytic and bi-univalent functions
    Xu, Qing-Hua
    Gui, Ying-Chun
    Srivastava, H. M.
    APPLIED MATHEMATICS LETTERS, 2012, 25 (06) : 990 - 994
  • [38] COEFFICIENT ESTIMATES FOR CERTAIN SUBCLASS OF MEROMORPHIC AND BI-UNIVALENT FUNCTIONS
    Hajiparvaneh, Saideh
    Zireh, Ahmad
    COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2019, 68 (01): : 654 - 662
  • [39] Third Hankel Determinant for Ma-Minda Bi-univalent Functions
    Haiyan ZHANG
    Huo TANG
    JournalofMathematicalResearchwithApplications, 2019, 39 (04) : 361 - 377
  • [40] On a Subclass of Analytic and Bi-univalent Functions
    Hussain, S.
    Khan, N.
    Khan, S.
    Ahmad, Q. Z.
    SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2019, 43 (01) : 51 - 60