(See attached file for full problem description and embedded formulae)
Why can (1) be regarded as a special case of (2)?
(1) Cauchy's Integral formula (no need to prove):
is a simple closed positively oriented contour.
If is analytic in some simply connected domain D containing
and if is any point inside , then
(2) Cauchy's Residue Theorem (no need to prove):
is a simple closed positively oriented contour
and is analytic inside and on except at the points
inside , then
(See attached file for full problem description and embedded formulae)© BrainMass Inc. brainmass.com December 24, 2021, 5:25 pm ad1c9bdddf
This shows a proof regarding Cauchy's Integral formula and Residue Theorem.