About a reference collecting the main properties of the modulus and the argument of $f$

About a reference collecting the main properties of the modulus and the
argument of $f$

Let $f$ be an analytic function in the whole complex plane. We can write
$f$ in its polar form: $$f(z)=ñ(z)exp(iè(z))$$ My question is about a
reference collecting the main properties of the modulus and the argument
of $f$.