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Homework Help: Cauchy's Integral Formula

  1. Jan 28, 2010 #1
    1. The problem statement, all variables and given/known data
    evaluate :

    integral of closed curve dz/(2+z*) (sorry for the lack of syntax
    where C is given by z=1


    2. Relevant equations

    Cauchy's integral formula

    3. The attempt at a solution
    I believe I have to change the denominator in terms of z rather than z*, but I do not know how. Any help?
     
  2. jcsd
  3. Jan 28, 2010 #2
    z* is not an analytic function of z, however if z is on the unit circle, then you can find a suitable analytic expression for z* in terms of z (which is then only valid on the unit circle).

    Hint: consider the expressions of z and z* in polar coordinates.
     
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