Originally Posted by

**pseudoace** Hi guys, 1st post here.

Anyway, I've missed a month of uni and now I got this assignment due. I have no idea how to go about it. I'll post the first question and see what you guys can do.

If I'm not mistaken, its just asking for the domain U? not sure about the formula part though.

Problem 1.

Let U be a simply connected domain with a simple closed boundary curve C orientated couterclockwise, and define:

$\displaystyle g(w)=\oint\frac{\sin(z)}{(z-w)^2}dz$ for all w $\displaystyle \in$ C \ C

Find a formula for g(w) not involving integration.

Thanks!