The aim of the paper is to discuss the extreme points of subordination and weak subordination families of harmonic mappings. Several necessary conditions and sufficient conditions for harmonic mappings to be extreme points of the corresponding families are established.
. We introduce two classes of analytic functions related to conic domains, using a new linear multiplier Dziok-Srivastava operator D n.q,s λ,l (n ∈ N0 = {0, 1, . . .}, q ≤ s + 1; q, s ∈ N0, 0 ≤ α < 1, λ ≥ 0, l ≥ 0). Basic properties of these classes are studied, such as coefficient bounds. Various known or new special cases of our results are also pointed out. For these new function classes, we establish subordination theorems and also deduce some corollaries of these results.