"Natural boundary", regular tetration, and Abel matrix
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"Natural boundary", regular tetration, and Abel matrix
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06/16/2010, 11:48 AM
Hm, I think that the intuitive method converges for bases \( b>1 \) does not necessarily mean that it is holomorphic in b (in the trumpet area). Why cant there be an invisible boundary at which it is merely continuous and not holomorphic? I really dont know, but do you have some more evidence that the intuitive iteration is holomorphic in b?
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"Natural boundary", regular tetration, and Abel matrix - by mike3 - 06/16/2010, 11:09 AM
RE: "Natural boundary", regular tetration, and Abel matrix - by bo198214 - 06/16/2010, 11:48 AM
RE: "Natural boundary", regular tetration, and Abel matrix - by mike3 - 06/16/2010, 07:39 PM
RE: "Natural boundary", regular tetration, and Abel matrix - by bo198214 - 06/17/2010, 04:14 AM
RE: "Natural boundary", regular tetration, and Abel matrix - by mike3 - 06/17/2010, 06:24 AM
RE: "Natural boundary", regular tetration, and Abel matrix - by bo198214 - 06/21/2010, 01:45 PM
RE: "Natural boundary", regular tetration, and Abel matrix - by mike3 - 06/22/2010, 09:15 PM
RE: "Natural boundary", regular tetration, and Abel matrix - by tommy1729 - 06/22/2010, 10:21 PM
RE: "Natural boundary", regular tetration, and Abel matrix - by bo198214 - 06/23/2010, 04:58 AM
RE: "Natural boundary", regular tetration, and Abel matrix - by Gottfried - 06/24/2010, 07:19 AM
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