Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Meaning of the complex residue

  1. Oct 23, 2009 #1
    Just spent the last few months working on an undergrad course in complex analysis and have a couple of things that aren't clear to me yet. One of them is the meanings of the residue of a complex function. I understand how to find it from the Laurent series and using a couple of other rules and I understand how it works with the residue theorem. But I still feel like there is a deeper interpretation out there waiting for me.......perhaps it's something geometrical?

    Grateful for any enlightened comment.
    :-)
     
  2. jcsd
  3. Oct 23, 2009 #2

    lurflurf

    User Avatar
    Homework Helper

    There are several equivalent ways to think about it. One is as the 1/(z-a) term of the laurent expansion. Another is the inner product of f with 1/(z-a). One could also think of it as the amount of (order 1) infinity at the point a.
     
  4. Oct 24, 2009 #3
    Thanks for that........the nearest I can get is that it could be 1/(2*pi) of a Dirac delta function with a pi/2 twist.
    :-)
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Similar Discussions: Meaning of the complex residue
Loading...