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
  • [21] On a Subclass of Bi-univalent Functions Affiliated with Bell and Gegenbauer Polynomials
    Illafe, Mohamed
    Hussen, Abdulmtalb
    Mohd, Maisarah Haji
    Yousef, Feras
    BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2025, 43
  • [22] Faber Polynomial Coefficient Estimates for a Subclass of Analytic Bi-univalent Functions
    Bulut, Serap
    FILOMAT, 2016, 30 (06) : 1567 - 1575
  • [23] Applications of the q-Derivative Operator to New Families of Bi-Univalent Functions Related to the Legendre Polynomials
    Cheng, Ying
    Srivastava, Rekha
    Liu, Jin-Lin
    AXIOMS, 2022, 11 (11)
  • [24] Coefficient Bounds for a Certain Subclass of Bi-Univalent Functions Associated with Lucas-Balancing Polynomials
    Hussen, Abdulmtalb
    Illafe, Mohamed
    MATHEMATICS, 2023, 11 (24)
  • [25] A New Subclass of Bi-Univalent Functions Defined by a Certain Integral Operator
    Breaz, Daniel
    Orhan, Halit
    Cotirla, Luminita-Ioana
    Arikan, Hava
    AXIOMS, 2023, 12 (02)
  • [26] Coefficient Estimates for a New Subclass of Analytic and Bi-Univalent Functions by Hadamard Product
    Adegani, Ebrahim Analouei
    Zireh, Ahmad
    Jafari, Mostafa
    BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2021, 39 (02): : 87 - 104
  • [27] Horadam polynomials for a new family of λ-pseudo bi-univalent functions associated with Sakaguchi type functions
    Wanas, Abbas Kareem
    AFRIKA MATEMATIKA, 2021, 32 (5-6) : 879 - 889
  • [28] Certain subclasses of analytic and bi-univalent functions
    Srivastava, H. M.
    Mishra, A. K.
    Gochhayat, P.
    APPLIED MATHEMATICS LETTERS, 2010, 23 (10) : 1188 - 1192
  • [29] On a new subclass of bi-univalent functions satisfying subordinate conditions
    Altinkaya, Sahsene
    Yalcin, Sibel
    ACTA UNIVERSITATIS SAPIENTIAE-MATHEMATICA, 2015, 7 (01) : 5 - 14
  • [30] Jacobi polynomials and bi-univalent functions
    Amourah, Ala
    Anakira, Nidal
    Mohammed, M. J.
    Jasim, Malath
    INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE, 2024, 19 (04) : 957 - 968
12345