Conditions for Functions of Many Complex Variables to beAnalytic.?
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From: bacle on 8 Jul 2010 13:19 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. Thanks.:
From: bacle on 16 Jul 2010 11:58
I found the conditions for functions f:C^n -->C to be analytic: the differential map Delf/Delz_i ^ must be zero for each z_i, so that f_z_i (i.e., we hold all other variables constant) satisfies Cauchy-Riemann. Still, I have not figured out for functions C^m -->C^n. Anyone know.? |