Re: How to calculate the complex multivariate integral?
On 10.08.2008 23:24, leox wrote:
Consider the 2-fold countur integral, x,y are complex variables :
(2 \pi I)^{-2} * Integral_{|x|=1} Integral_{|y|=1} [(x^{a+m-1} y^{b
+n-1}/(x^a*y^b-1)] dx dy
If a and b are not meant to be integer or natural numbers, you seem to
be in trouble.
From another considerations, the integral is equal to 1 if a=m,
b=n and 0 othewise, but I cant prove it by direct calculation.
Anybody can help?
Again Cauchy's integral formula might be very helpful for this problem.
--
Best wishes,
J.
.
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