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Math Help - complex analysis help

  1. #1
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    complex analysis help

    Let z_{0} \in C be a fixed complex number and let \gamma be the circle with center z_{0} and radius R with positive orientation.

    (a) Find a parametrization of \gamma.
    (b) Compute the integral (z- z_{0})^ndz for all integer n \in Z
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  2. #2
    MHF Contributor Drexel28's Avatar
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    Quote Originally Posted by LCopper2010 View Post
    Let z_{0} \in C be a fixed complex number and let \gamma be the circle with center z_{0} and radius R with positive orientation.

    (a) Find a parametrization of \gamma.
    Really?

    (b) Compute the integral (z- z_{0})^ndz for all integer n \in Z
    Around the circle you mean, right?
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  3. #3
    Member mabruka's Avatar
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    Originally Posted by LCopper2010
    Let C be a fixed complex number and let be the circle with center and radius R with positive orientation.

    (a) Find a parametrization of .
    Review the most basic stuff about polar coordinates and the fact that you can identify complex numbers with an ordered pair.


    x+iy with (x,y)
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