Question: Let u and v denote the real and imaginary components of the function f defined by means of the equations Verify that the Cauchy-Riemann equations

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

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

z2/z r)-|:z when z0, 0 when z=0.

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