Hi, i couldn't find a section for complex numbers so i put it in here. if it belongs elsewhere i apologize.

Question: use the result e^(z^2) = e^[x^2-y^2](cos2xy+isin2xy)

to show that e^(z^2) is an entire function.

I know this means that it must be analytic at every point in z, just not sure how to prove it.

If someone could help me get started that would be great