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Topic: A strange conclusion based on complex analysis.
Replies: 7   Last Post: Oct 28, 2012 11:33 AM

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 dan.ms.chaos@gmail.com Posts: 409 Registered: 3/1/08
Re: A strange conclusion based on complex analysis.
Posted: Oct 28, 2012 11:33 AM

Not every differentiable real function can be 'extended' to become a
differentiable function in the complex plane . The simplest example
that comes to mind is natural logarithm .Every real analytic function
'extends' to a complex analytic function .
But complex differentiability is a more restrictive condition than
real differentiability . That's why complexly differentiable functions
need to be analytic but real differentiable functions don't .

Date Subject Author
10/22/12 Hongyi Zhao
10/22/12 Tim Little
10/22/12 Ken.Pledger@vuw.ac.nz
10/23/12 Bacle H
10/28/12 Peter Webb
10/28/12 bacle
10/28/12 dan.ms.chaos@gmail.com