Univalent covering domains on the classes of holomorphic self-maps of a disc

Landau determined the radius of a disc in which all bounded by fixed constant functions with a given value of the derivative at the interior fixed point are univalent. He also found the radius of the disc, which is univalent covered by the values of all such functions. On the class of holomorphic self-maps of the unit disc with interior and a boundary fixed points and a fixed value of the angular derivative at the boundary fixed point, Goryainov discovered the existence of domain of univalence, the sharp form of which was found later. We find the sharp univalent covering domain for specified function class.