On a new subclass of harmonic meromorphic functions wıth fixed residue ξ

Abstract

We use the differential operator Dn,µ λ,δ,φ to introduce a new class SHn,γ,β,ξ λ,δ,φ,µ (w, k, α) of meromorphic harmonic functions with fixed residue ξ in Uw. Then we give the coefficient estimates, distortion theorem and extreme points of classes SHn,γ,β,ξ λ,δ,φ,µ (w, k, α) and SHn,γ,β,ξ λ,δ,φ,µ [w, k, α].