# Complex Numbers and power series

• Jan 3rd 2010, 09:30 AM
superwizard123
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)
• Jan 4th 2010, 04:10 AM
Shanks
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.