Is there a general way of writing a complex valued function(adsbygoogle = window.adsbygoogle || []).push({});

f(z)=u(x,y)+iv(x,y) in terms of z?

For example, suppose that I know

f(x,y)=(x/(x^2+y^2))-i*y/(x^2+y^2)

How do I know that it is actually f(z)=1/z?

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# Write a complex valued function in terms of z

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