An Application of Rabotnov Functions on Certain Subclasses of Bi-Univalent Functions
Ala Amourah,
Ibtisam Aldawish,
Khadeejah Rasheed Alhindi,
Basem Aref Frasin
Affiliations
Ala Amourah
Department of Mathematics, Faculty of Science and Technology, Irbid National University, Irbid 21110, Jordan
Ibtisam Aldawish
Department of Mathematics and Statistics, College of Science, IMSIU (Imam Mohammad Ibn Saud Islamic University), Riyadh 11564, Saudi Arabia
Khadeejah Rasheed Alhindi
Department of Computer Science, College of Computer Science and Information Technology, Imam Abdulrahman Bin Faisal University, P.O. Box 1982, Dammam 31441, Saudi Arabia
Basem Aref Frasin
Department of Mathematics, Faculty of Science, Al Al-Bayt University, Mafraq 25113, Jordan
In this study, a new class RΣμ(x,γ,α,δ,β) of bi-univalent functions studied by means of Gegenbauer polynomials (GP) with Rabotnov functions is introduced. The coefficient of the Taylor coefficients a2 and a3 and Fekete-Szegö problems for functions belonging to RΣμ(x,γ,α,δ,β) have been derived as well. Furthermore, a variety of new results will appear by considering the parameters in the main results.
