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new results from complex dynamics
#8
(03/21/2010, 01:04 PM)bo198214 Wrote:
(03/20/2010, 08:12 AM)mike3 Wrote: However, for it to be not real valued in and real valued in would imply there is a singularity/branchpoint at , hence not holomorphic there, eh?

ya I would say so, that each non-integer iterate has a singularity as a function in at .

So does this mean the original hypothesis that it "depends holomorphically on " (apparently across since you contrast this behavior with that of the "usual" regular iteration) was wrong?
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Messages In This Thread
new results from complex dynamics - by bo198214 - 01/25/2010, 07:30 PM
RE: new results from complex dynamics - by mike3 - 01/26/2010, 06:21 AM
RE: new results from complex dynamics - by mike3 - 03/10/2010, 03:10 AM
RE: new results from complex dynamics - by mike3 - 03/20/2010, 08:12 AM
RE: new results from complex dynamics - by mike3 - 03/21/2010, 11:03 PM
RE: new results from complex dynamics - by mike3 - 03/22/2010, 10:14 AM
RE: new results from complex dynamics - by mike3 - 03/23/2010, 07:50 AM
RE: new results from complex dynamics - by mike3 - 04/16/2012, 04:21 AM
RE: new results from complex dynamics - by mike3 - 04/17/2012, 07:51 AM
RE: new results from complex dynamics - by mike3 - 04/18/2012, 02:19 AM

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