- #1
mick25
- 13
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Homework Statement
I just wrote a test and was wondering if I got these questions right, I already solved them, please see the attached pictures below. Here are the questions; sorry for non-latex form
1) Let gamma be a positively oriented unit circle (|z|=1) in C
solve: i) integral of cos(z+11)/(z^2-23) along gamma
ii) integral of cos(z+11)/(z^2-6z) along gamma
2) Find all possible analytic functions f(z) such that |sin 7z| < |f(z)|
3) Draw a closed curve gamma in C\<0,1> such that its winding numbers at 0 is 1 and at 1 is -2.
4) Draw 4 pairwise non-homotopic closed curves in C\<0>
The Attempt at a Solution
Here are the pictures:
Are these correct? Please let me know if my writing is ineligible. Thanks in advance.