- #1
FunkyDwarf
- 489
- 0
Hey guys,
Im trying to evaluate the integral round the unit circle to in turn evaluate a real integral, but the bit I am stuck on is finding the residual at zero for the complex function.
Whats on the bottom of the function isn't overly important as that's not what's causing the rukus, but rather on the top i have z^n + 1/z^n (technically i can move the problem bit to the bottom i know) and the denominator of the function is a quadratic in z. I can solve for the residual at the point that the denominator is zero, but how do i get the residual for z = 0 where the 1/z^n blows up? I've tried multiplying by this and differentiating that but it doesn't seem to work =(
Hope that made sense :S
Cheers
-G
Im trying to evaluate the integral round the unit circle to in turn evaluate a real integral, but the bit I am stuck on is finding the residual at zero for the complex function.
Whats on the bottom of the function isn't overly important as that's not what's causing the rukus, but rather on the top i have z^n + 1/z^n (technically i can move the problem bit to the bottom i know) and the denominator of the function is a quadratic in z. I can solve for the residual at the point that the denominator is zero, but how do i get the residual for z = 0 where the 1/z^n blows up? I've tried multiplying by this and differentiating that but it doesn't seem to work =(
Hope that made sense :S
Cheers
-G