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Math Help - Complex Numbers and power series

  1. #1
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    Complex Numbers and power series

    We have already shown 1+ w+ w^2 =0

    If w is the complex number exp(2*Pi*i/3) , find the power series for;
    exp(z) +exp(w*z) + exp (z*w^2)
    Last edited by superwizard123; January 3rd 2010 at 11:15 AM.
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  2. #2
    Senior Member Shanks's Avatar
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    notice that w^3-1=0
    expand e^z,e^{wz},e^{w^2z} to power series, and then simplify the sum,you will find that a lot of terms are eliminated.
    Last edited by mr fantastic; January 4th 2010 at 02:29 PM. Reason: Added latex tag
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