Solve equations (2), Sec. 23 for ux and uy to show that

Then use these equations and similar ones for vx and vy to show that in Sec. 23 equations (4) are satisfied at a point z0 if equations (6) are satisfied there. Thus complete the verification that equations (6), Sec. 23, are the Cauchy-Riemann equations in polar form.

Transcribed Image Text:

sin θ cos θ