A stent (300, 400, 400′) for a prosthetic heart valve includes a body having an inflow end (310, 410) and an outflow end (312, 412), and an anchoring section (340, 440) adjacent the inflow end. The anchoring section may include structure (342, 344, 420) that extends radially outwardly from the body when the stent is in an expanded condition. The stent may include a transition section (370, 470) between the body and the anchoring section, the transition section in the expanded condition of the stent having a diameter that is smaller than the diameters of the body and the anchoring section. When implanted into a native valve annulus, such as the mitral valve annulus, the anchoring section may help the stent resist migrating away from the native valve annulus.