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About: Darboux's formula     Goto   Sponge   NotDistinct   Permalink

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Type: Thingagentyago:WikicatSummabilityMethodsyago:Ability105616246yago:Abstraction100002137yago:Cognition100023271yago:Know-how105616786yago:Method105660268yago:PsychologicalFeature100023100 New Facet based on Instances of this Class

In mathematical analysis, Darboux's formula is a formula introduced by Gaston Darboux for summing infinite series by using integrals or evaluating integrals using infinite series. It is a generalization to the complex plane of the Euler–Maclaurin summation formula, which is used for similar purposes and derived in a similar manner (by repeated integration by parts of a particular choice of integrand). Darboux's formula can also be used to derive the Taylor series from calculus.