An Application of Rabotnov Functions on Certain Subclasses of Bi-Univalent Functions

被引：7
|
作者：
Amourah, Ala [1 ]
Aldawish, Ibtisam [2 ]
Alhindi, Khadeejah Rasheed [3 ]
Frasin, Basem Aref [4 ]
机构：
[1] Irbid Natl Univ, Fac Sci & Technol, Dept Math, Irbid 21110, Jordan
[2] Imam Mohammad Ibn Saud Islamic Univ, Coll Sci, Dept Math & Stat, IMSIU, Riyadh 11564, Saudi Arabia
[3] Imam Abdulrahman Bin Faisal Univ, Coll Comp Sci & Informat Technol, Dept Comp Sci, POB 1982, Dammam 31441, Saudi Arabia
[4] Al Al Bayt Univ, Fac Sci, Dept Math, Mafraq 25113, Jordan
来源：
AXIOMS | 2022年 / 11卷 / 12期
关键词：
Rabotnov functions; bi-univalent; Taylor series; Fekete-Szego; Gegenbauer polynomials;
D O I：
10.3390/axioms11120680
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this study, a new class R (mu)(sigma)(x, gamma, alpha, delta, beta) of bi-univalent functions studied by means of Gegenbauer polynomials (GP) with Rabotnov functions is introduced. The coefficient of the Taylor coefficients |a(2)|and |a(3)| and Fekete-Szego problems for functions belonging to R (mu)(sigma)(x, gamma, alpha, delta, beta) have been derived as well. Furthermore, a variety of new results will appear by considering the parameters in the main results.
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收藏
页数：9
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