Concept information
Término preferido
Cauchy's integral formula
Definición
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In mathematics, Cauchy's integral formula, named after Augustin-Louis Cauchy, is a central statement in complex analysis. It expresses the fact that a holomorphic function defined on a disk is completely determined by its values on the boundary of the disk, and it provides integral formulas for all derivatives of a holomorphic function. Cauchy's formula shows that, in complex analysis, "differentiation is equivalent to integration": complex differentiation, like integration, behaves well under uniform limits – a result that does not hold in real analysis.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Cauchy%27s_integral_formula)
Concepto genérico
En otras lenguas
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francés
URI
http://data.loterre.fr/ark:/67375/PSR-L1GPQCBJ-B
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