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

Arelation in complex analysis

  1. Sep 23, 2009 #1
    is this relashion true? or false?
    if it is true how can I proof it?
    (-i)^(-m) = cos((m*pi)/2)+i*sin((m*pi)/2)
     
  2. jcsd
  3. Sep 23, 2009 #2
    Perhaps try showing the left hand side is periodic. Then I think this would mean that you would only have to work out a finite number of cases.
     
  4. Sep 23, 2009 #3

    mathman

    User Avatar
    Science Advisor
    Gold Member


    -i=exp(-i(pi/2))
    Therefore (-i)^(-m)=exp(i(m*pi/2))
    Now apply Euler's identity.
     
  5. Sep 24, 2009 #4
    thank u very much
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Arelation in complex analysis
  1. Complex analysis (Replies: 1)

  2. Complex Analysis (Replies: 4)

  3. Complex analysis (Replies: 5)

  4. Complex analysis (Replies: 10)

Loading...