2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/128465Translation of "Methodus succincta summas serierum infinitarum per formulas differentiales investigandi" (1780). Euler wants to represent some given series of functions S(x)=X(x)+X(x+1)+X(x+2)+etc. in a different way. He writes S as a series in derivatives of X with unknown coefficients. He makes a generating function V(z) out of these coefficients, which is the same as a generating function that involves the Bernoulli numbers.8 pagesHistory and OverviewClassical Analysis and ODEs01A50; 65B15text