- #1
Raziel2701
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Homework Statement
This is complex analysis by the way. Here's the problem statement:http://i.imgur.com/wegWj.png"
I'm doing part b, but some information from part a is carried over.
The Attempt at a Solution
My problem is that I don't know if I'm being asked to show it via direct substitution or if I should make use of the fact that the function is analytic on the disk. Or maybe if the integrand is supposed to simplify to the typical expression for the index (or winding number):
[tex]\frac{1}{2\pi i}\int_{\gamma}\frac{dz}{z-z_0}[/tex]
If it is the case that I have to take advantage of the function being holomorphic, then wouldn't the integral be equal to zero though? Since f'(z) and f(z) are holomorphic(or analytic) in the disk?
Any thoughts?
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