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Keywords

Harmonic functions
Univalent function
Distortion theorem
Ruscheweyh type q- differential operator

Abstract

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.
https://doi.org/10.33899/csmj.2021.170008
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