Keywords : Ruscheweyh type q- differential operator

On Harmonic Functions by using Ruscheweyh-Type Associated with Differential Operators

Mohammed A. Fathi; Abdul Rahman S. Juma

AL-Rafidain Journal of Computer Sciences and Mathematics, 2021, Volume 15, Issue 2, Pages 55-62
DOI: 10.33899/csmj.2021.170008

By applying Ruscheweyh - type harmonic function on the class ASH(λ,α,k,γ), a new subclass ℋRq(m, α, k, γ) for harmonic univalent function in the unit disk D is introduced, Furthermore, some geometric properties are obtained such as distortion theorem, sufficient coefficient bounds ,extreme points and convex combination conditions for aforementioned subclass.