1. The problem statement, all variables and given/known data Hi! I am stuck on an exercise in the complex analysis course. The problem is: "Show that the only analytic functions f that depends on only |z| must be the constant functions." 2. Relevant equations - 3. The attempt at a solution I am not sure if I undertand the question, is it f(z)=|z|, or maybe f(z)=g(|z|)?