A new subclass of analytic and bi-univalent functions associated with Legendre polynomials

被引：3
|
作者：
Badghaish, Abeer O. [1 ]
Lashin, Abdel Moneim Y. [1 ,2 ]
Bajamal, Amani Z. [1 ]
Alshehri, Fayzah A. [1 ]
机构：
[1] King Abdulaziz Univ, Fac Sci, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia
[2] Mansoura Univ, Dept Math Fac Sci, Mansoura 35516, Egypt
来源：
AIMS MATHEMATICS | 2023年 / 8卷 / 10期
关键词：
bi-univalent functions; analytic functions; starlike and convex functions; Legendre polynomials; COEFFICIENT BOUNDS; STARLIKE;
D O I：
10.3934/math.20231196
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce a new subclass of analytic and bi-univalent functions in the open unit disc U. For this subclass of functions, estimates of the initial coefficients |A2| and |A3| of the Taylor Maclaurin series are given. An application of Legendre polynomials to this subclass of functions is presented. Furthermore, our study discusses several special cases.
引用
收藏
页码：23534 / 23547
页数：14
相关论文
共 50 条
  • [1] 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
  • [2] A New Comprehensive Subclass of Analytic Bi-Univalent Functions Related to Gegenbauer Polynomials
    Al-Hawary, Tariq
    Amourah, Ala
    Alsoboh, Abdullah
    Alsalhi, Omar
    SYMMETRY-BASEL, 2023, 15 (03):
  • [3] Gegenbauer Polynomials For a New Subclass of Bi-univalent Functions
    Saravanan, Gunasekar
    Baskaran, Sudharsanan
    Vanithakumari, Balasubramaniam
    Wanas, Abbas Kareem
    KYUNGPOOK MATHEMATICAL JOURNAL, 2024, 64 (03): : 487 - 497
  • [4] A new general subclass of analytic bi-univalent functions
    Bulut, Serap
    TURKISH JOURNAL OF MATHEMATICS, 2019, 43 (03) : 1330 - 1338
  • [5] 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)
  • [6] COEFFICIENT ESTIMATES FOR A SUBCLASS OF ANALYTIC BI-UNIVALENT FUNCTIONS
    Adegani, Ebrahim Analouei
    Bulut, Serap
    Zireh, Ahmad
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2018, 55 (02) : 405 - 413
  • [7] COEFFICIENT ESTIMATES FOR A SUBCLASS OF ANALYTIC AND BI-UNIVALENT FUNCTIONS
    Zireh, A.
    Audegani, E. Analouei
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2016, 42 (04): : 881 - 889
  • [8] COEFFICIENT ESTIMATES FOR A NEW GENERAL SUBCLASS OF ANALYTIC BI-UNIVALENT FUNCTIONS
    Bulut, Serap
    KOREAN JOURNAL OF MATHEMATICS, 2021, 29 (03): : 519 - 526
  • [9] A comprehensive subclass of bi-univalent functions associated with Chebyshev polynomials of the second kind
    Yousef, Feras
    Alroud, Somaia
    Illafe, Mohamed
    BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2020, 26 (02): : 329 - 339
  • [10] Fekete-Szego Inequalities for a New Subclass of Bi-Univalent Functions Associated with Gegenbauer Polynomials
    Caglar, Murat
    Cotirla, Luminita-Ioana
    Buyankara, Mucahit
    SYMMETRY-BASEL, 2022, 14 (08):
12345