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 Extension of tetration to other branches bo198214 Administrator Posts: 1,389 Threads: 90 Joined: Aug 2007 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? « Next Oldest | Next Newest »

 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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