1. Not finding help here? Sign up for a free 30min 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!

Simple complex integral

  1. Jun 8, 2006 #1
    Hello,

    I have a question about a complex integral. The question is about the index of a curve. This curve is defined as:

    j = j1 * j2

    with j1: r*exp(i*t) with t: [0,pi]
    and j2: [-r,r]

    This is quite simple: a half cirle followed by a line from (-r,0) through (0,0) to (r,0).
    To calculate the index Ind(a) over the curve j:

    Ind(a) = 1/(2*pi*i) * integral(dz/(z-a))





    Now the problem: I used a curve (a+r*exp(it)) to solve the half circle, this give me 1/2. But how can I calculate the index of the line from (-r,0) to (r,0)?
     
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you help with the solution or looking for help too?



Similar Discussions: Simple complex integral
Loading...