Could you help me, please? I have two complex functions of real variable f[x] and fc[x] such that one is a conjugate of another one. I'd like to take a conjugate of an expression that includes both of these functions. Is it possible to define Conjugate operation for both of these functions?
I'm looking for something like that:
Conjugate[f[x_]] := fc[x];
Conjugate[fc[x_]] := f[x];
Eq = Conjugate[2f[x] + fc[x]]
I'd like to get
Eq = 2 fc[x] + f[x]
Thank you in advance for your help!