# Cauchy-Riemann Equations

Not what you're looking for? Search our solutions OR ask your own Custom question.

6. Let u and v denote the real and imaginary components of the function f defined by the equations

_

f(z) = (z^2)/z when z ≠ 0,

f (z) = 0 when z = 0.

Verify that the Cauchy-Riemann equations ux = vy and uy = -vx are satisfied at the origin z = (0, 0).

Â© BrainMass Inc. brainmass.com May 24, 2023, 1:44 pm ad1c9bdddfhttps://brainmass.com/math/partial-differential-equations/cauchy-riemann-equations-33521

#### Solution Preview

Please see the attached file for the full solution.

Thanks for using ...

#### Solution Summary

Cauchy-Riemann Equations are investigated. The solution is detailed and well presented.

$2.49