Homework Statement
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.
Homework Equations
The Attempt at a Solution
Setting f = (f^3) / (f^2), then I think we need to look at the zeros of the...
Homework Statement
If z=x + iy, what is d/dz in polar coordinates?
The Attempt at a Solution
I know that expanded,
d/dz = 1/2 (d/dx) - i (d/dy)
Where to go from there?