ComplexCoordinates[expr]

Aliases: None

Description: $ComplexCoordinates[expr]$ expands $expr$ in terms of the variables and their complex conjugates. The difference between $ComplexCoordinates[expr]$ and $ComplexRules$ is in the case $Abs[z]^2$//.ComplexRules. This case returns the same expression instead of z and Conjugate[z]. If you desire to use the latter expression, you can use ComplexCoordinates[expr]. This function replaces Abs[z] by Sqrt[z Conjugate[z]], after applying ComplexRules.

Arguments: $expr$ is any expression with $+$ $-$ $*$ $/$, Re[], Im[], Conjugate[], Exp[], Power[], Sin[], Cos[] and others

Comments / Limitations: This only works for expressions defined with the commutative multiplication.