Re: Entire function

In article
<26511262.1206967205640.JavaMail.jakarta@xxxxxxxxxxxxxxxxxxxxxx>,
TimmyTimTim <matmackaizer@xxxxxxxx> wrote:

Let f be entire such that f(z) is real when z is real, and f(z) is imaginary
when z is imaginary. Prove that
f(-z)=-f(z).

Just play around with the power series of f at 0; it should fall right
out.
.