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Cauchy's Integral Formula
From Wikipedia, the free encyclopedia
Found in articles
Cauchy's integral formula
In mathematics,
Cauchy's
integral
formula
, named after Augustin-Louis
Cauchy
, is a central statement in complex analysis. It expresses the fact that a
Cauchy's integral theorem
loop in U ¯ {\textstyle {\overline {U}}} . The
Cauchy
integral
theorem leads to
Cauchy's
integral
formula
and the residue theorem. If one assumes that the
Residue theorem
used to compute real
integrals
and infinite series as well. It generalizes the
Cauchy
integral
theorem and
Cauchy's
integral
formula
. The residue theorem
Cauchy theorem
Augustin-Louis
Cauchy
.
Cauchy
theorem may mean:
Cauchy's
integral
theorem in complex analysis, also
Cauchy's
integral
formula
Cauchy's
mean value theorem
Contour integration
function along a curve in the complex plane; application of the
Cauchy
integral
formula
; and application of the residue theorem. One method can be used