Concept information
Preferred term
Cauchy's integral formula
Definition(s)
- 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)
Broader concept(s)
In other languages
-
French
URI
http://data.loterre.fr/ark:/67375/MDL-QDS2B1GZ-2
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