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
  • [1] Certain classes of bi-univalent functions related to Shell-like curves connected with Fibonacci numbers
    Magesh, N.
    Abirami, C.
    Balaji, V. K.
    AFRIKA MATEMATIKA, 2021, 32 (1-2) : 185 - 198
  • [2] A SUBCLASS OF BI-UNIVALENT FUNCTIONS RELATED TO SHELL-LIKE CURVES CONNECTED WITH FIBONACCI NUMBERS ASSOCIATED WITH (p, q)-DERIVATIVE
    Nandini, P.
    Latha, S.
    TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2023, 13 (04): : 1503 - 1511
  • [3] On α-convex functions related to shell-like functions connected with Fibonacci numbers
    Dziok, Jacek
    Raina, Ravinder Krishna
    Sokol, Janusz
    APPLIED MATHEMATICS AND COMPUTATION, 2011, 218 (03) : 996 - 1002
  • [4] Applications of Shell-like Curves Connected with Fibonacci Numbers
    Amourah, Ala
    Aldawish, Ibtisam
    Frasin, Basem Aref
    Al-Hawary, Tariq
    AXIOMS, 2023, 12 (07)
  • [5] Certain results for a class of convex functions related to a shell-like curve connected with Fibonacci numbers
    Dziok, Jacek
    Raina, Ravinder Krishna
    Sokol, Janusz
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (09) : 2605 - 2613
  • [6] On a class of starlike functions related to a shell-like curve connected with Fibonacci numbers
    Dziok, Jacek
    Raina, Ravinder Krishna
    Sokol, Janusz
    MATHEMATICAL AND COMPUTER MODELLING, 2013, 57 (5-6) : 1203 - 1211
  • [7] Certain classes of bi-univalent functions associated with the Horadam polynomials
    Orhan, Halit
    Mamatha, Paduvalapattana Kempegowda
    Swamy, Sondekola Rudra
    Magesh, Nanjundan
    Yamini, Jagadeesan
    ACTA UNIVERSITATIS SAPIENTIAE-MATHEMATICA, 2021, 13 (01) : 258 - 272
  • [8] Coefficient bounds for certain classes of bi-univalent functions
    Frasin, B. A.
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2014, 43 (03): : 383 - 389
  • [9] INITIAL COEFFICIENT BOUNDS FOR CERTAIN CLASSES OF MEROMORPHIC BI-UNIVALENT FUNCTIONS
    Orhan, H.
    Magesh, N.
    Balaji, V. K.
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2014, 7 (01)
  • [10] New Subclasses of Bi-Univalent Functions Associated with Exponential Functions and Fibonacci Numbers
    Ayash, Majd
    Baddour, Hassan
    Ali, Mohammad
    Wanas, Abbas Kareem
    BAGHDAD SCIENCE JOURNAL, 2024, 21 (12) : 4083 - 4091