Thread: Cauchy-Reimann Equations

Suppose f = u + iv is analytic in a domain D. Show that the cauchy-Reimann equation in polar coordinates are:

r(2u/2r) = (2v/2Theta)

and

r(2v/2r) = -(2u/2Theta)



****Each '2' is representing 'partial of' -- NOT ACTUALLY THE #2 ******

Originally Posted by jzellt

Suppose f = u + iv is analytic in a domain D. Show that the cauchy-Reimann equation in polar coordinates are:

r(2u/2r) = (2v/2Theta)

and

r(2v/2r) = -(2u/2Theta)



****Each '2' is representing 'partial of' -- NOT ACTUALLY THE #2 ******

Here you go.

Proof To Cauchy Riemann Equations Polar Coordinates