Coefficient Estimates for New Subclasses of Bi-Univalent Functions Associated with Jacobi Polynomials

被引:0
|
作者
Amourah, Ala [1 ,2 ]
Anakira, Nidal [1 ,3 ]
Salah, Jamal [4 ]
Jameel, Ali [1 ]
机构
[1] Sohar Univ, Fac Educ & Arts, Math Educ Program, Sohar 311, Oman
[2] Appl Sci Private Univ, Appl Sci Res Ctr, Amman, Jordan
[3] Jadara Univ, Res Ctr, Irbid, Jordan
[4] Asharqiyah Univ, Coll Appl & Hlth Sci, Muscat, Oman
来源
CONTEMPORARY MATHEMATICS | 2024年 / 5卷 / 04期
关键词
analytic functions; univalent functions; bi-univalent functions; Jacobi polynomials; fekete-szeg & ouml; problem;
D O I
10.37256/cm.5420245341
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Our research introduces new subclasses of analytical functions that are defined by Jacobi polynomials. We then proceed to estimate the Fekete-Szeg & ouml; functional problem and the Maclaurin coefficients for this specific subfamily, denoted as |a2| and |a3|. Furthermore, we demonstrate several new results that emerge when we specialize the parameters used in our main findings.
引用
收藏
页码:4712 / 4725
页数:14
相关论文
共 50 条
  • [11] Coefficient estimates for new subclasses of Ma-Minda bi-univalent functions
    Tang, Huo
    Deng, Guan-Tie
    Li, Shu-Hai
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [12] Coefficient bounds for new subclasses of bi-univalent functions
    Caglar, Murat
    Orhan, Halit
    Yagmur, Nihat
    FILOMAT, 2013, 27 (07) : 1165 - 1171
  • [13] 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
  • [14] Certain Subclasses of Bi-Univalent Functions Associated with the Horadam Polynomials
    H. M. Srivastava
    Şahsene Altınkaya
    Sibel Yalçın
    Iranian Journal of Science and Technology, Transactions A: Science, 2019, 43 : 1873 - 1879
  • [15] Coefficient Estimates for Some Subclasses of Analytic and Bi-Univalent Functions Associated with Conic Domain
    Tahir, Muhammad
    Khan, Nazar
    Ahmad, Qazi Zahoor
    Khan, Bilal
    Khan, Gul Mehtab
    SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS, 2019, 16 (01): : 69 - 81
  • [16] Coefficient estimates for some general subclasses of analytic and bi-univalent functions
    Srivastava H.M.
    Gaboury S.
    Ghanim F.
    Afrika Matematika, 2017, 28 (5-6) : 693 - 706
  • [17] Bounds for Two New Subclasses of Bi-Univalent Functions Associated with Legendre Polynomials
    Lashin, Abdel Moneim Y.
    Badghaish, Abeer O.
    Bajamal, Amani Z.
    MATHEMATICS, 2021, 9 (24)
  • [18] Coefficient Estimates for a New Subclasses of m-fold Symmetric Bi-Univalent Functions
    AL-khafaji, Aqeel Ketab
    IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS, 2023, 18 (01): : 33 - 39
  • [19] New subclasses of bi-univalent functions
    Frasin, B. A.
    Aouf, M. K.
    APPLIED MATHEMATICS LETTERS, 2011, 24 (09) : 1569 - 1573
  • [20] Subclasses of bi-univalent functions subordinate to gegenbauer polynomials
    Ala Amourah
    Zabidin Salleh
    B. A. Frasin
    Muhammad Ghaffar Khan
    Bakhtiar Ahmad
    Afrika Matematika, 2023, 34