$f(z)$ is a holomorphic function over $\Bbb C$. $f(0)=1$. and $|f(z)| \le 1$ for all $z \in \Bbb C$. find $f(\pi)$.
I guess intuitionally that $f(\pi)=1$. But I don't know how to prove!
$f(z)$ is a holomorphic function over $\Bbb C$. $f(0)=1$. and $|f(z)| \le 1$ for all $z \in \Bbb C$. find $f(\pi)$.
I guess intuitionally that $f(\pi)=1$. But I don't know how to prove!