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.
what are the zeroes of $\sqrt{z}$?
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complex-analysis
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0I 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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0@trinithis That seems sort of unrelated, but consider $f(z)=\bar z$. – 2012-06-10
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0Ah, right. Nevermind my previous post. – 2012-06-10
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0@DylanMoreland Does my question makes any sense? – 2012-06-10
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3Define $\sqrt{z}$... – 2012-06-10
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0@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