Let f(z) be a non-constant entire function and z = x + iy . Let u(x, y), v(x, y) denote its real and imaginary parts respectively. Which of the following statement is FALSE?
1
ux = vy and uy = -vx
2
uy = vx and ux = -vy
3
|f'(x + iy)|2 = ux(x, y)2 + vx(x, y)2
4
|f'(x + iy)|2 = uy(x, y)2 + vy(x, y)2