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well I need to know whether there are any zeroes of $\sqrt{z}$? so far I guess $0$ is a singular point of the function as it is not analytic at $z=0$, so It has no zeroes am I right? Is it an isolated singularity? please help.

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    I wonder, does $(|z| = |w| \implies |f(z)| = |f(w)|) \implies $f is analytic? $\sqrt z$ falls under this case.2012-06-10
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    @trinithis That seems sort of unrelated, but consider $f(z)=\bar z$.2012-06-10
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    Ah, right. Nevermind my previous post.2012-06-10
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    @DylanMoreland Does my question makes any sense?2012-06-10
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    Define $\sqrt{z}$...2012-06-10
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    @trinithis There should be a little ×-shaped button next to your comment that you can use to delete it, if you want to.2012-06-10

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