OR, is it that, there is some point where the function is differentiable, but it is not an entire function?
i found the C-R Equations.
du/dx = 3x^2 + 3y^3 -3 , dv/dy = 3y^2 - 2 + 3x^2
du/dy = 6xy , dv/dx = 6xy
du/dx = dv/dy
and du/dy = - dv/dx where x = 0 or y = 0
and thus C-R equations are not satisfied on an open disk, but only on the line x=0 or y=0
I think this is wrong.
Any help appreciated, especially if you point out the thought process required here.