Extension of tetration to other branches

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Extension of tetration to other branches

bo198214 Offline

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10/24/2009, 08:13 PM

(10/24/2009, 08:01 PM)mike3 Wrote: Actually it does seem to converge. The problem is that it seems to converge to the same value for every z in such cases. I.e., converging to a constant function.

Interesting!

Quote: There are uncountably many such limit values, yet as constant functions they are "analytically incompatible" (is that a real term?) with the function (you can't analytically continue a constant function to tetration!)

Well, each constant fixed point of b^x is a tetration! I.e. it satisfies c(z+1)=b^c(z).
Does it converge to fixed points?

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Messages In This Thread

Extension of tetration to other branches - by mike3 - 10/24/2009, 08:27 AM

RE: Extension of tetration to other branches - by bo198214 - 10/24/2009, 09:54 AM

RE: Extension of tetration to other branches - by mike3 - 10/24/2009, 08:01 PM

RE: Extension of tetration to other branches - by bo198214 - 10/24/2009, 08:13 PM

RE: Extension of tetration to other branches - by mike3 - 10/25/2009, 02:14 AM

RE: Extension of tetration to other branches - by bo198214 - 10/25/2009, 07:43 AM

RE: Extension of tetration to other branches - by mike3 - 10/25/2009, 09:33 AM

RE: Extension of tetration to other branches - by bo198214 - 10/25/2009, 11:26 AM

RE: Extension of tetration to other branches - by mike3 - 10/25/2009, 08:47 PM

RE: Extension of tetration to other branches - by bo198214 - 10/25/2009, 09:22 PM

RE: Extension of tetration to other branches - by mike3 - 10/25/2009, 10:56 PM

RE: Extension of tetration to other branches - by bo198214 - 10/26/2009, 04:28 AM

RE: Extension of tetration to other branches - by mike3 - 10/26/2009, 04:41 AM

RE: Extension of tetration to other branches - by bo198214 - 10/26/2009, 05:07 PM

RE: Extension of tetration to other branches - by mike3 - 10/27/2009, 08:59 PM

RE: Extension of tetration to other branches - by bo198214 - 10/28/2009, 07:42 AM

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