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Complex exponetiation?
I was looking at the riemann zeta function, and realized i had no idea what an imaginary exponent like b^i would even mean. Can anyone explain it and maybe how to calculate it?
1 Answer
- ?Lv 69 years agoFavorite Answer
first u need Euler's formula
e^ix = cosx+isinx
now take any complex # z = a+bi. that is in rectangular coordinates. Now convert to polar coordinates
by z = r^itheta r^2 = a^2 + b^2 , theta = tan^1 b/a
hope this helps
