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Complex conjugate integration

  1. Oct 4, 2008 #1
    i was thinking this over, and i'd like to know if the following statement is valid:

    [tex]\oint\overline{z}dz[/tex] = [tex]\oint1/zdz[/tex]

    over the contour [tex]\left|z\right|=1[/tex]

    any thoughts?
  2. jcsd
  3. Oct 5, 2008 #2


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    Homework Helper

    That is obviously true and then some.
    In fact z*=z^-1 whenever |z|=1
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