Fekete-Szego Inequality for Analytic and Bi-univalent Functions Subordinate to Chebyshev Polynomials

被引：41
|
作者：
Yousef, Feras [1 ]
Frasin, B. A. [2 ]
Al-Hawary, Tariq [3 ]
机构：
[1] Univ Jordan, Dept Math, Fac Sci, Amman 11942, Jordan
[2] Al al Bayt Univ, Dept Math, Fac Sci, Mafraq 25113, Jordan
[3] Al Balqa Appl Univ, Dept Appl Sci, Ajloun Coll, Ajloun 26816, Jordan
来源：
FILOMAT | 2018年 / 32卷 / 09期
关键词：
Analytic and bi-univalent functions; Chebyshev polynomials; Fekete-Szego problem; coefficient bounds; subordination; SUBCLASSES;
D O I：
10.2298/FIL1809229Y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the present study, anewsubclass of analytic and bi-univalent functions by means of Chebyshev polynomials is introduced. Certain coefficient bounds for functions belong to this subclass are obtained. Furthermore, the Fekete-Szego problem in this subclass is solved.
引用
收藏
页码：3229 / 3236
页数：8
相关论文
共 50 条
  • [41] On the Fekete-Szego problem for concave univalent functions
    Bhowmik, B.
    Ponnusamy, S.
    Wirths, K-J
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 373 (02) : 432 - 438
  • [42] 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
  • [43] Fekete-Szego inequalities for subclass of bi-univalent functions associated with Salagean type q-difference operator
    Murugusundaramoorthy, Gangadharan
    Yalcin, Sibel
    Altinkaya, Sahsene
    AFRIKA MATEMATIKA, 2019, 30 (5-6) : 979 - 987
  • [44] Subclasses of bi-univalent functions subordinate to gegenbauer polynomials
    Amourah, Ala
    Salleh, Zabidin
    Frasin, B. A.
    Khan, Muhammad Ghaffar
    Ahmad, Bakhtiar
    AFRIKA MATEMATIKA, 2023, 34 (03)
  • [45] Coefficient Estimates and the Fekete-Szego Problem for New Classes of m-Fold Symmetric Bi-Univalent Functions
    Oros, Georgia Irina
    Cotirla, Luminita-Ioana
    MATHEMATICS, 2022, 10 (01)
  • [46] New subclasses for estimates coefficients of m-fold symmetric bi-univalent functions and Fekete-Szego problems
    Delphi, Ali Musaddak
    Jassim, Kassim A.
    JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2022, 25 (06) : 1857 - 1867
  • [47] The Fekete-Szego inequality for subclasses of analytic functions related to modified Sigmoid functions
    Kamali, Muhammet
    Orhan, Halit
    Caglar, Murat
    TURKISH JOURNAL OF MATHEMATICS, 2020, 44 (03) : 1016 - 1026
  • [48] Fekete-Szego Inequality for a Subclass of p-Valent Analytic Functions
    Raza, Mohsan
    Arif, Muhammad
    Darus, Andmaslina
    JOURNAL OF APPLIED MATHEMATICS, 2013,
  • [49] FEKETE-SZEGO PROBLEM FOR CERTAIN SUBCLASSES OF UNIVALENT FUNCTIONS
    Vasudevarao, Allu
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2015, 52 (06) : 1937 - 1943
  • [50] Fekete-Szego problem for generalized bi-subordinate functions of complex order
    Kazimoglu, Sercan
    Deniz, Erhan
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2020, 49 (05): : 1695 - 1705
12345