Horadam Polynomials and a Class of Biunivalent Functions Defined by Ruscheweyh Operator

被引:7
作者
Al-Rawashdeh, Waleed [1 ]
机构
[1] Zarqa Univ, Dept Math, Zarqa 13110, Jordan
关键词
SUBCLASSES;
D O I
10.1155/2023/2573044
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we introduce and investigate a class of biunivalent functions, denoted by Hn,r,alpha, that depends on the Ruscheweyh operator and defined by means of Horadam polynomials. For functions in this class, we derive the estimations for the initial Taylor-Maclaurin coefficients a2 and a3. Moreover, we obtain the classical Fekete-Szego inequality of functions belonging to this class.
引用
收藏
页数:7
相关论文
共 32 条
  • [1] Abdullah K. I., 2022, Science Journal of University of Zakho, V10, P66
  • [2] Abirami C., 2020, ABSTR APPL ANAL, V2020, P7391058, DOI [10.1155/2020/7391058, DOI 10.1155/2020/7391058]
  • [3] Al-Rawashdeh W., A Family of Close-To-Convex Functions Satisfying Subordinate Conditions
  • [4] Al-Rawashdeh W., 2023, European Journal of Pure and applied Mathematics
  • [5] Al-Rawashdeh W., A Class of Non-bazilevic Functions Subordinate to Gegenbauer Polynomials
  • [6] Al-Rawashdeh W, 2024, INT J MATH COMPUT SC, V19, P635
  • [7] On the Chebyshev coefficients for a general subclass of univalent functions
    Altinkaya, Sahsene
    Yalcin, Sibel
    [J]. TURKISH JOURNAL OF MATHEMATICS, 2018, 42 (06) : 2885 - 2890
  • [8] Coefficient bounds for new subclasses of bi-univalent functions
    Caglar, Murat
    Orhan, Halit
    Yagmur, Nihat
    [J]. FILOMAT, 2013, 27 (07) : 1165 - 1171
  • [9] A general approach to the Fekete-Szego problem
    Choi, Jae Ho
    Kim, Yong Chan
    Sugawa, Toshiyuki
    [J]. JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 2007, 59 (03) : 707 - 727
  • [10] Duren P., 1977, Subordination in Complex Analysis, P22