- #1
Niles
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Homework Statement
Hi all.
I have two questions on holomorphic functions in the complex plane.
1) We have shown in class that a holomorphic function f can only depend on z, not z*, where the asterix denotes complex conjugation.
Today my teacher said that all functions f(z) are holomorphic. He is not correct, is he?
2) I have a holomorphic function [itex]f(z)=u(x,y)+iv(x,y)[/itex], where we have
[tex]
u(x,y)=x^2-y^2+2x \quad \text{and}\quad v(x,y)=2xy+2y.
[/tex]
Is there any way that I can find f(z) as a function of z alone? Or is the only method to guess?
Thank you very much in advance.Niles.