Math 519 (Spring 2012) Assignment 2 Due Friday, March 2

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Math 519 (Spring 2012) Assignment 2
Due Friday, March 2
1. S&S 3.1.
2. S&S 3.2.
3. S&S 3.6.
4. S&S 3.14. (The hint is not the only path, though you are welcome to
use it if you want.)
5. S&S 3.19a.
6. Find the residues at the (obvious) singularities:
1
(a) z+z
2.
(b) z cos z1 .
z
(c) z−sin
.
z
1
(d) z 2 e z .
Also, read (but don’t do) 3.15 and 3.17.
1
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