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
  • [31] Fekete-Szego Functional of a Subclass of Bi-Univalent Functions Associated with Gegenbauer Polynomials
    Al-Rawashdeh, Waleed
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2024, 17 (01): : 105 - 115
  • [32] Euler Polynomials and Bi-univalent Functions
    Amourah, Ala
    Jarwan, Dunia Alawi
    Salah, Jamal
    Mohammed, M. J.
    Meqdad, Saad A.
    Anakira, Nidal
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2024, 17 (03): : 1948 - 1958
  • [33] Second Hankel determinant for a subclass of analytic bi-univalent functions defined by subordination
    Motamednezhad, Ahmad
    Bulboaca, Teodor
    Analouei Adegani, Ebrahim
    Dibagar, Nesa
    TURKISH JOURNAL OF MATHEMATICS, 2018, 42 (05) : 2798 - 2808
  • [34] A certain general subclass of analytic and bi-univalent functions and associated coefficient estimate problems
    Xu, Qing-Hua
    Xiao, Hai-Gen
    Srivastava, H. M.
    APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (23) : 11461 - 11465
  • [35] Initial Bounds for a Subclass of Analytic and Bi-Univalent Functions Defined by Chebyshev Polynomials and q-Differential Operator
    Dong GUO
    En AO
    Huo TANG
    Liangpeng XIONG
    Journal of Mathematical Research with Applications, 2019, 39 (05) : 506 - 516
  • [36] Study of quantum calculus for a new subclass of bi-univalent functions associated with the cardioid domain
    Matarneh, Khaled
    Abubakar, Ahmad A.
    Khan, Mohammad Faisal
    Al-Shaikh, Suha B.
    Kamal, Mustafa
    HELIYON, 2024, 10 (12)
  • [37] Coefficient Bounds for a New Subclass of Bi-Univalent Functions Defined by Salagean Operator
    Fan CHEN
    Xiaofei LI
    Journal of Mathematical Research with Applications, 2017, 37 (03) : 290 - 298
  • [38] Coefficient Estimates for New Subclasses of Bi-Univalent Functions Associated with Jacobi Polynomials
    Amourah, Ala
    Anakira, Nidal
    Salah, Jamal
    Jameel, Ali
    CONTEMPORARY MATHEMATICS, 2024, 5 (04): : 4712 - 4725
  • [39] Bi-univalent functions associated with Gegenbauer polynomials : New subclasses and coefficient properties
    Sham, Alkhattaf
    Mohd, Maisarah Haji
    Supramaniam, Shamani
    JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2025, 28 (01) : 267 - 279
  • [40] On a subclass of bi-univalent functions associated with the q-derivative operator
    Aldweby, Huda
    Darus, Maslina
    JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2019, 19 (01): : 58 - 64
12345