# Dictionary:Conjugate function

Any 2D function ${\displaystyle F(z)}$ may be written in terms of orthogonal conjugate functions ${\displaystyle \phi (x,y)}$ and ${\displaystyle \psi (x,y)}$:
${\displaystyle F(z)=F(x+jy)=\phi (x,y)+j\psi (x,y)}$.