2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/167314The linear transformation that sends $x^n$ to the n'th Laguerre polynomial preserves real-rootedness.to appear, American Mathematical MonthlyHistory and OverviewClassical Analysis and ODEs26C10, 12D10, 30C15The Laguerre polynomials preserve real-rootednesstext