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

How to draw z^(i+2)

  1. Jan 31, 2013 #1
    For example :
    z={z|0<=arg z<=(pi)/6}
    Draw w=z^(i+2).
    I can draw w=z^2 and w=z^i
    But w=z^(I+2)is a holy garbagety
     
  2. jcsd
  3. Jan 31, 2013 #2

    chiro

    User Avatar
    Science Advisor

    Hey alazhumizhu and welcome to the forums.

    You might want to consider drawing two three dimensional graphs (one for the real and one for the imaginary), or look at drawing individual "line segments" of the mapping and building up the visual intuition that way.
     
  4. Jan 31, 2013 #3
    [tex]z^k=e^{k\log z}[/tex]

    Then you can find the image by composing these easier maps.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook