Hi, I have some questions regarding how to find the analytisity region of a funtion.(adsbygoogle = window.adsbygoogle || []).push({});

I'm a little confuse after I studied the definition of analytic function: which it saids

[if a function f is differentiable at every z in A, then f is analytic on A]

eg. Log z is analytic on the entire complex plane EXCEPT the -ve real axis.

Which make sense to me since Log z is undefind when x<=0 & y=0 , for z=x+iy

Log z^2 is analytic on the entire complex plane again EXCEPT z=0, and exclude the

Imaginary axis. Is that right?

I'm wondering if there's a way to actually compute/calculate the region instead of doing it in the head?

Since Log z & Log z^2 is kinda basic, it'll be hard to do if it is comething like Log (1+2/z)

Thanks in advance

Matt

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# Homework Help: Analytic Function

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