2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/119852We investigate the Knizhnik-Zamolodchikov linear differential system. The coefficients of this system are rational functions. We prove that the solution of the KZ system is rational when $k$ is equal to two and $n$ is equal to three. While doing so, we found the coefficients of expansion in a neighborhood of a singular point.Classical Analysis and ODEs34M05; 34M55; 47B38text