Cauchy's Integral Formula

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Homework Statement


evaluate :

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


Homework Equations



Cauchy's integral formula

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?
 

Answers and Replies

  • #2
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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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