Harmonic conjugate of $u,v$ in $f=u+iv$

Question

Do I understand correctly the definition of being harmonic conjugate if I understand it that:

$v$ is the harmonic conjugate of $u$

but $u$ is not the harmonic conjugate of $v$, but rather $-u$ ?

Answer 1

Yes, multiply the equation by $−i$ and $−if=v−iu$ and so you should say $−u$ is the conjugate of $v$.