2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/110007We present the history and previous approaches to the proof of Stirling's series. We use a different procedure, based on the asymptotic analysis of the difference equation $Γ(z+1)=zΓ(z)$. The method reproduces Stirling's series very easily and can be extended to use in more complicated difference equations.16 pagesClassical Analysis and ODEsHistory and Overview33B15 (primary) 41A60 (secondary)text