I need to prove without using Picard's Little Theorem the following statement:
Let $f(z)$ an entire function such that $f(z) \notin \mathbb R$ for every $z \in \mathbb C$. Prove that $f$ is constant.
Do you have a way to do it?
Thanks
I need to prove without using Picard's Little Theorem the following statement:
Let $f(z)$ an entire function such that $f(z) \notin \mathbb R$ for every $z \in \mathbb C$. Prove that $f$ is constant.
Do you have a way to do it?
Thanks