On helicoidal ends of minimal surfaces (Q1892346)

Let \(M\) be a properly embedded minimal plane in \(\mathbb{R}^3\) which meets all but a finite number of horizontal planes (up to a rotation in space) transversally in a single open curve. If the Gauss map \(g\), seen as a meromorphic map through the stereographic projection, has finite order (in the sense of Nevanlinna) then the minimal surface is the helicoid or the plane.