Certain classes of bi-univalent functions related to Shell-like curves connected with Fibonacci numbers

被引:0
|
作者
N. Magesh
C. Abirami
V. K. Balaji
机构
[1] Government Arts College for Men,Post
[2] Faculty of Engineering and Technology,Graduate and Research Department of Mathematics
[3] SRM University,Department of Mathematics
[4] L.N. Govt College,undefined
来源
Afrika Matematika | 2021年 / 32卷
关键词
Univalent functions; Bi-univalent functions; Shell-like function; Convex shell-like function; Pseudo starlike function; Bazilević function; Primary 30C45; Secondary 30C50;
D O I
暂无
中图分类号
学科分类号
摘要
In 2010, Srivastava et al. [38] revived the study of coefficient problems for bi-univalent functions. Due to the pioneering work of Srivastava et al. [38], there has been elicit curiosity to study the coefficient problems for various subclasses of bi-univalent functions. Motivated predominantly by Srivastava et al. [38], in this work, we consider certain classes of bi-univalent functions related with shell-like curves connected with Fibonacci numbers to obtain the estimates of second and third Taylor-Maclaurin coefficients and Fekete - Szegö inequalities. Further, special cases are also indicated. Some observations of the results presented here are also discussed.
引用
收藏
页码:185 / 198
页数:13
相关论文
共 50 条
  • [31] Certain Subclasses of Bi-Univalent Functions Associated with the Horadam Polynomials
    Srivastava, H. M.
    Altinkaya, Sahsene
    Yalcin, Sibel
    IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2019, 43 (A4): : 1873 - 1879
  • [32] 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
  • [33] CERTAIN SUBCLASSES OF BI-UNIVALENT FUNCTIONS DEFINED BY DIFFERENTIAL OPERATOR
    Pathak, A. L.
    Porwal, S.
    Agarwal, R.
    Shukla, Puneet
    JOURNAL OF RAJASTHAN ACADEMY OF PHYSICAL SCIENCES, 2023, 22 (3-4): : 289 - 296
  • [34] Fekete–Szegö problem for certain classes of Ma-Minda bi-univalent functions
    Orhan H.
    Magesh N.
    Balaji V.K.
    Afrika Matematika, 2016, 27 (5-6) : 889 - 897
  • [35] ON COEFFICIENT ESTIMATES FOR CERTAIN SUBCLASSES OF BI-UNIVALENT FUNCTIONS
    Shah, S. A.
    Noor, K., I
    Soomro, M. A.
    TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2023, 13 (04): : 1578 - 1585
  • [36] 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
  • [37] Coefficient estimate problems for certain subclasses of analytic and bi-univalent functions
    Magesh N.
    Prameela V.
    Afrika Matematika, 2015, 26 (3-4) : 465 - 470
  • [38] ESTIMATE FOR INITIAL MACLAURIN COEFFICIENTS OF CERTAIN SUBCLASSES OF BI-UNIVALENT FUNCTIONS
    Alkahtani, Badr S.
    Goswami, Pranay
    Bulboaca, Teodor
    MISKOLC MATHEMATICAL NOTES, 2017, 17 (02) : 739 - 748
  • [39] The Miller-Ross Poisson distribution and its applications to certain classes of bi-univalent functions related to Horadam polynomials
    Alnajar, Omar
    Ogilat, Osama
    Amourah, Ala
    Darus, Maslina
    Alatawi, Maryam Salem
    HELIYON, 2024, 10 (07)
  • [40] Inequalities on coefficients for certain classes of m-fold symmetric and bi-univalent functions equipped with Faber polynomial
    Sakar, F. Muge
    Canbulat, Adnan
    TURKISH JOURNAL OF MATHEMATICS, 2019, 43 (01) : 293 - 300