AL-Rafidain Journal of Computer Sciences and Mathematics

By applying Ruscheweyh - type harmonic function on the class AS_H(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.