Fekete-Szego Inequality for Analytic and Biunivalent Functions Subordinate to Gegenbauer Polynomials

被引:53
作者
Amourah, Ala [1 ]
Frasin, Basem Aref [2 ]
Abdeljawad, Thabet [3 ,4 ,5 ]
机构
[1] Irbid Natl Univ, Fac Sci & Technol, Dept Math, Irbid, Jordan
[2] Al Bayt Univ, Fac Sci, Dept Math, Mafraq, Jordan
[3] Prince Sultan Univ, Dept Math & Gen Sci, Riyadh, Saudi Arabia
[4] China Med Univ, Dept Med Res, Taichung 40402, Taiwan
[5] Asia Univ, Dept Comp Sci & Informat Engn, Taichung, Taiwan
关键词
UNIVALENT; COEFFICIENT; SUBCLASSES;
D O I
10.1155/2021/5574673
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In the present paper, a subclass of analytic and biunivalent functions by means of Gegenbauer polynomials is introduced. Certain coefficients bound for functions belonging to this subclass are obtained. Furthermore, the Fekete-Szego problem for this subclass is solved. A number of known or new results are shown to follow upon specializing the parameters involved in our main results.
引用
收藏
页数:7
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共 32 条
  • [1] Subclasses of Bi-Univalent Functions Defined by Frasin Differential Operator
    Aldawish, Ibtisam
    Al-Hawary, Tariq
    Frasin, B. A.
    [J]. MATHEMATICS, 2020, 8 (05)
  • [2] Altinkaya S., 2017, ASIA PAC J MATH, V4, P90
  • [3] Amourah A., AIP C P, V2096
  • [4] Amourah A., 2020, Palest. J. Math., V9, P187
  • [5] Amourah A., PALESTINE J MATH, P2021
  • [6] Amourah A., 2019, General Letters in Mathematics, V7, P45
  • [7] Amourah A., 2020, FEKETE SZEGO INEQUAL
  • [8] Bi-Bazilevic functions of order θ
    Amourah, Ala
    Frasin, B. A.
    Murugusundaramoorthy, G.
    Al-Hawary, Tariq
    [J]. AIMS MATHEMATICS, 2021, 6 (05): : 4296 - 4305
  • [9] Amourah A, 2021, AFR MAT, V32, P1059, DOI 10.1007/s13370-021-00881-x
  • [10] [Anonymous], 1984, CHIN ANN MATH SER