Homework Statement
If w = u(x,y)+iy(x,y) is an analytic function then
\phi(x,y) = u(x,y)v(x,y)
is harmonic, where u and v are the real and imaginary parts of w.
What is the harmonic conjugate of \phi?
Homework Equations
So I know for analytic functions the Cauchy-Riemann equations...