1. The problem statement, all variables and given/known data If f: D(0,1) -> C is a function (C = set of complex numbers), and both f^2 and f^3 are holomorphic, then prove that f is holomorphic. 2. Relevant equations 3. The attempt at a solution Setting f = (f^3) / (f^2), then I think we need to look at the zeros of the function? Not sure where to go from there.