Recent content by kpizzano

  1. K

    Laurent Series Expansion coefficient for f(z) = 1/(z-1)^2

    Ok, thanks so much for commenting!
  2. K

    Laurent Series Expansion coefficient for f(z) = 1/(z-1)^2

    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...
  3. K

    Laurent Series Expansion coefficient for f(z) = 1/(z-1)^2

    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 =...