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

Author:

Amourah AlaORCID,Aldawish IbtisamORCID,Alhindi Khadeejah RasheedORCID,Frasin Basem ArefORCID

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.

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

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