x Turn on thread page Beta
 You are Here: Home >< Maths

where is Ln(z+10) NOT analytic? watch

1. would i be correct in thinking this is for i.e. on the non-positive real axis?

(since for Ln(z+10) , domain is |z+10|>0 and -pi<Arg(z+10)<pi

??
2. Assuming by Ln you mean the principal branch of the log function, then yes. (I think)!
3. (Original post by DFranklin)
Assuming by Ln you mean the principal branch of the log function, then yes. (I think)!
I did, yes - Thanks!
4. (Original post by Hasufel)
would i be correct in thinking this is for i.e. on the non-positive real axis?

(since for Ln(z+10) , domain is |z+10|>0 and -pi<Arg(z+10)<pi

??
You mean . It's not analytic at those points since it's discontinuous there.
5. (Original post by atsruser)
You mean . It's not analytic at those points since it's discontinuous there.
No, I think by he means the real numbers . For the branch he's discussing, the complex logarithm with have a discontinuity across that cut. But it will be analytic everywhere else.
6. (Original post by RichE)
No, I think by he means the real numbers
It looks simply wrong to me to write .

Whenever I see , I read "complex variable", so this makes no sense at all to me.

I guess it would have clearer if I'd written or whatever.

TSR Support Team

We have a brilliant team of more than 60 Support Team members looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

This forum is supported by:
Updated: July 9, 2014
Today on TSR

Negatives of studying at Oxbridge

What are the downsides?

Poll
Useful resources

Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

How to use LaTex

Writing equations the easy way

Study habits of A* students

Top tips from students who have already aced their exams

Chat with other maths applicants