2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64214We present a global representation for surfaces in 3-dimensional hyperbolic space with constant mean curvature 1 (CMC-1 surfaces) in terms of holomorphic spinors. This is a modification of Bryant's representation. It is used to derive explicit formulas in hypergeometric functions for CMC-1 surfaces of genus 0 with three regular ends which are asymptotic to catenoid cousins (CMC-1 trinoids).29 pages, 9 figures. v2: figures of cmc1-surfaces correctedDifferential Geometry53A10; 53C42text