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Differentiating a complex valued conjugate function

What is d/dx of G bar (x) ?

where G(x) is a complex valued function and G bar is the conjugate, is it just G bar prime?

Reply 1

davros

Original post by Jammy4410

What is d/dx of G bar (x) ?

where G(x) is a complex valued function and G bar is the conjugate, is it just G bar prime?

I'm very rusty on this stuff, but are you sure it's differentiable?

Is there a specific question you're working on?

Reply 2

Smaug123

Original post by Jammy4410

What is d/dx of G bar (x) ?

where G(x) is a complex valued function and G bar is the conjugate, is it just G bar prime?

The complex conjugate function is not complex-differentiable. If you mean

G: \mathbb{R} \to \mathbb{C}

, just write out the limit expression to obtain that it is the complex conjugate of

G'

Reply 3

Jammy4410

Original post by Smaug123

Original post by davros

trying to show this but for the extra term that prevents self-adjointness, i get the negative o that (wrong sign)

Take L to be the second order differential operator (for simplicity) and the inner product is with respect to w(x)=1 so it adds no value