2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/57096We use discrete holomorphic polynomials to prove that, given a refining sequence of critical maps of a Riemann surface, any holomorphic function can be approximated by a converging sequence of discrete holomorphic functions.15 pages, 1 figure, youngtab.sty (included)Mathematical PhysicsCombinatorics30G25; 39A12; 31C20; 49M25; 52C26text