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From: Kaba on 9 Jul 2010 07:15
bacle wrote:
> Could anyone please tell me the conditions for a function from
> C^n to C^m ( C is the complexes) to be analytic.?. I have looked
> thru some online sites, and they are too formal; would someone
> please just say something like wether we need C-Riemann to be
> satisfied by each variable.

This is not my area, but since I found something, here goes. Maybe you
mean holomorphic instead of analytic. In that case:

http://en.wikipedia.org/wiki/Holomorphic_function

Read the section "Several variables".

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