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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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Registered: 3/1/08
Re: A strange conclusion based on complex analysis.
Posted: Oct 28, 2012 11:33 AM
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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 .

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