2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/143414We provide a new algorithm for evaluating the gamma function at any (rational) point and a new infinite product representation free from the presence of Euler and Mascheroni constant.Formulae and inequalities seemingly new are obtained as byproducts of the method.12 pagesClassical Analysis and ODEstext