Value regions of univalent self-maps with two boundary fixed points

In this paper we find the exact value region V(z0,T) of the point evaluation functional f → f(z0) over the class of all holomorphic injective self-maps f : D → D of the unit disk D having a boundary regular fixed point at σ = –1 with f'(–1) = eT and the Denjoy–Wolff point at τ = 1.publishedVersio