I just noticed that I missed the part in the problem statement that says valid for |z|>1 , so I only need
\sum_{n=0}^{\infty}\left(n+1\right)z^{-\left(n+2\right)}.
I got that by noticing that \frac{1}{\left(z-1\right)^2} = \frac{1}{z^2\left(1-\frac{1}{z}\right)^2}
Using the...
Homework Statement
Determine the coefficients c_n of the Laurent series expansion
\frac{1}{(z-1)^2} = \sum_{n = -\infty}^{\infty} c_n z^n
that is valid for |z| > 1.
Homework Equations
none
The Attempt at a Solution
I found expansions valid for |z|>1 and |z|<1:
\sum_{n =...