1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Calculating residuals

  1. Oct 26, 2011 #1
    1. The problem statement, all variables and given/known data

    Calculate the residuals of the following functions in the corresponding singularities:
    1) [tex]f(z) = z^{2}\exp (\frac{1}{z})[/tex]
    2) [tex]f(z) = exp(\frac{-1}{z^{2}})[/tex]

    2. Relevant equations

    3. The attempt at a solution
    I can't tell if these functions have poles or not, because I can't calculate [tex]lim z \to 0 (z^{m}f(z))[/tex], for any natural m. Is it even possible to calculate the residuals this way, or do i need to put the function in Laurent series (which I haven't studied yet)?
    Last edited: Oct 26, 2011
  2. jcsd
  3. Oct 27, 2011 #2
    Try expressing the exponential by its taylor series.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Discussions: Calculating residuals
  1. Calculating Residues (Replies: 4)

  2. Calculating residue (Replies: 5)

  3. Residue calculation (Replies: 5)

  4. Calculating a Residue (Replies: 4)