Jacobian and a holomorphic function
by Hidenori
Proposition
Show that if $f = u + iv$ is holomorphic, then the Jacobian equals $\abs{f’(z)}^2$.
Solution
$u_xv_y - u_yv_x = u_x^2 + u_y^2 = \abs{u_x + iv_y}^2$.
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by Hidenori
Show that if $f = u + iv$ is holomorphic, then the Jacobian equals $\abs{f’(z)}^2$.
$u_xv_y - u_yv_x = u_x^2 + u_y^2 = \abs{u_x + iv_y}^2$.
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