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Math Help - Cauchy-Reimann Equations

  1. #1
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    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)



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  2. #2
    MHF Contributor chiph588@'s Avatar
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    Quote Originally Posted by jzellt View Post
    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
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