ON A NEW SUBCLASS OF HARMONIC MEROMORPHIC FUNCTIONS WITH FIXED RESIDUE ξ

Abstract

We use the differential operator D n,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] .