2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/121444In this paper we construct an example of a properly immersed maximal surface in the Lorentz-Minkowski space L^3 with the conformal type of a disk.17 pages, 5 figures, to appear in Differ. Geom. ApplDifferential Geometry53C50; 53C42; 53A10; 53B30On the existence of a proper conformal maximal disk in L^3text