A succinct method for investigating the sums of infinite series through differential formulae

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dc.creatorEuler, Leonhard
dc.date2007-05-05
dc.date.accessioned2026-07-07T07:59:42Z
dc.date.available2026-07-07T07:59:42Z
dc.descriptionTranslation 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.
dc.description8 pages
dc.identifierhttps://arxiv.org/abs/0705.0768
dc.identifierhttp://arxiv.org/abs/0705.0768
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/128465
dc.subjectHistory and Overview
dc.subjectClassical Analysis and ODEs
dc.subject01A50; 65B15
dc.titleA succinct method for investigating the sums of infinite series through differential formulae
dc.typetext

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