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.

引用

页数：9

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