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

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.

Keywords

• harmonic functions
• univalent function
• distortion theorem
• ruscheweyh type q- differential operator