2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73362We prove that the functions Phi(x)=[Gamma(x+1)]^{1/x}(1+1/x)^x/x and log Phi(x) are Stieltjes transforms.Classical Analysis and ODEsComplex Variables33B15; 26A48Integral representation of some functions related to the Gamma functiontext