Question

how can i verify cauchy reimann equation for the function ln z?

Answer 1

Ux=Vy
and Vx=-Uy
@azf
first find U and V:)

Answer 2

@azf do yoou know how to find Ux Uy Vx Vy?????

Answer 3

yes. but here, u will be the real part and v will be the imaginary part.
ln z = ln(x+iy)
and then from here we will separate the real and imaginary parts to find u and v. But how to separate them , that's what i cant solve.

Answer 4

@azf it is simple