- #1
mnb96
- 715
- 5
Hello,
I have a doubt on how to differentiate a complex function f:ℂ→ℂ defined as follows: [tex]f(z)=zz^*[/tex] where the * stands for complex conjugation.
According to this source (at the very end of the Section, where it says: "...As this is a complex value, G*(f) acts as a constant...") the result should be: [tex]\frac{df}{dz}=z^*[/tex] which to me sounds a bit strange (i.e. why on Earth should z* be treated as a constant?)
What's the correct way of performing derivation of a complex function w.r.t. to a complex variable?
I have a doubt on how to differentiate a complex function f:ℂ→ℂ defined as follows: [tex]f(z)=zz^*[/tex] where the * stands for complex conjugation.
According to this source (at the very end of the Section, where it says: "...As this is a complex value, G*(f) acts as a constant...") the result should be: [tex]\frac{df}{dz}=z^*[/tex] which to me sounds a bit strange (i.e. why on Earth should z* be treated as a constant?)
What's the correct way of performing derivation of a complex function w.r.t. to a complex variable?