edit: I solved it. don't worry. and d) doesn't equal to zero. thanks.
Hi. I'm a bit stuck on this problem.
a) Find the partial fraction decomposition of
Let
After some working and expanding and simplifying i get the following:
b) Hence show that, if is an entire function and then
I can show this. Not hard. Just applying Cauchy's Integral Forumlae.
c) Calculate
So,
d) Calculate
Does this just equal to zero because one of the roots is outside |z|=2? Did I put it in correct termiology?