An Application of Rabotnov Functions on Certain Subclasses of Bi-Univalent Functions
Ala Amourah, Ibtisam Aldawish, Khadeejah Rasheed Alhindi, Basem Aref Frasin
Abstract
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.
Topics & Concepts
Variety (cybernetics)Class (philosophy)MathematicsPure mathematicsAlgebra over a fieldComputer scienceStatisticsArtificial intelligenceAnalytic and geometric function theoryDifferential Equations and Boundary ProblemsMathematical Inequalities and Applications