• 0 Vote(s) - 0 Average
• 1
• 2
• 3
• 4
• 5
 Change of base formula for Tetration bo198214 Administrator Posts: 1,386 Threads: 90 Joined: Aug 2007 08/13/2007, 08:23 PM jaydfox Wrote:The only item I haven't proven is that the power series for the fractional iteration of e^z-1 converges for some radius of convergence greater than 0. Some sources say it only converges for integer iterations, others say it has non-zero radius of convergence for fractional iterations. There was also no proof for the convergence of your change of base formula. Though it looks for me that you could make it. For the convergence of $e^z-1$ I have really strange news, see the corresponding thread (later). « Next Oldest | Next Newest »

 Messages In This Thread Change of base formula for Tetration - by jaydfox - 08/12/2007, 06:39 AM RE: Change of base formula for Tetration - by jaydfox - 08/12/2007, 06:41 AM RE: Change of base formula for Tetration - by jaydfox - 08/12/2007, 08:38 AM RE: Change of base formula for Tetration - by jaydfox - 08/12/2007, 08:53 AM RE: Change of base formula for Tetration - by jaydfox - 08/12/2007, 04:34 PM RE: Change of base formula for Tetration - by bo198214 - 08/12/2007, 06:39 PM RE: Change of base formula for Tetration - by jaydfox - 08/12/2007, 09:00 PM RE: Change of base formula for Tetration - by jaydfox - 08/12/2007, 09:09 PM RE: Change of base formula for Tetration - by jaydfox - 08/12/2007, 09:30 PM RE: Change of base formula for Tetration - by andydude - 08/13/2007, 02:47 PM RE: Change of base formula for Tetration - by andydude - 08/13/2007, 02:58 PM RE: Change of base formula for Tetration - by jaydfox - 08/13/2007, 06:34 PM RE: Change of base formula for Tetration - by bo198214 - 08/13/2007, 07:31 PM RE: Change of base formula for Tetration - by bo198214 - 08/13/2007, 07:37 PM RE: Change of base formula for Tetration - by jaydfox - 08/13/2007, 08:03 PM RE: Change of base formula for Tetration - by bo198214 - 08/13/2007, 08:23 PM RE: Change of base formula for Tetration - by jaydfox - 08/13/2007, 08:32 PM RE: Change of base formula for Tetration - by bo198214 - 08/15/2007, 09:36 AM RE: Change of base formula for Tetration - by jaydfox - 08/15/2007, 10:15 AM RE: Change of base formula for Tetration - by jaydfox - 08/13/2007, 03:42 PM RE: Change of base formula for Tetration - by jaydfox - 08/15/2007, 11:29 PM RE: Change of base formula for Tetration - by jaydfox - 08/16/2007, 09:21 PM RE: Change of base formula for Tetration - by bo198214 - 08/16/2007, 09:32 PM RE: Change of base formula for Tetration - by jaydfox - 08/16/2007, 09:49 PM RE: Change of base formula for Tetration - by bo198214 - 08/16/2007, 09:53 PM RE: Change of base formula for Tetration - by jaydfox - 08/31/2007, 03:51 AM RE: Change of base formula for Tetration - by jaydfox - 08/31/2007, 06:24 AM RE: Change of base formula for Tetration - by bo198214 - 08/31/2007, 09:03 AM RE: Change of base formula for Tetration - by tommy1729 - 05/03/2009, 10:20 PM RE: Change of base formula for Tetration - by sheldonison - 05/05/2009, 11:21 AM RE: Change of base formula for Tetration - by tommy1729 - 05/05/2009, 12:19 PM RE: Change of base formula for Tetration - by sheldonison - 05/05/2009, 01:29 PM RE: Change of base formula for Tetration - by bo198214 - 05/05/2009, 01:37 PM RE: Change of base formula for Tetration - by jaydfox - 08/31/2007, 04:11 AM Convergence of Jay's change of base formula - by bo198214 - 08/15/2007, 09:00 PM RE: Parabolic Iteration - by jaydfox - 08/15/2007, 09:19 PM RE: Parabolic Iteration - by bo198214 - 08/15/2007, 09:30 PM RE: Parabolic Iteration - by jaydfox - 08/15/2007, 11:41 PM RE: Parabolic Iteration - by bo198214 - 08/16/2007, 08:17 AM RE: Parabolic Iteration - by jaydfox - 08/16/2007, 05:51 PM RE: Parabolic Iteration - by bo198214 - 08/16/2007, 06:40 PM RE: Parabolic Iteration - by jaydfox - 08/16/2007, 09:47 PM RE: Parabolic Iteration - by bo198214 - 08/16/2007, 10:07 PM

 Possibly Related Threads... Thread Author Replies Views Last Post Complex Tetration, to base exp(1/e) Ember Edison 7 1,011 08/14/2019, 09:15 AM Last Post: sheldonison Recursive formula generating bounded hyper-operators JmsNxn 0 1,327 01/17/2017, 05:10 AM Last Post: JmsNxn Is bounded tetration is analytic in the base argument? JmsNxn 0 1,162 01/02/2017, 06:38 AM Last Post: JmsNxn Extrapolated Faá Di Bruno's Formula Xorter 1 1,859 11/19/2016, 02:37 PM Last Post: Xorter [2015] 4th Zeration from base change pentation tommy1729 5 5,241 03/29/2015, 05:47 PM Last Post: tommy1729 Conjecture on semi-exp base change [2015] tommy1729 0 1,549 03/24/2015, 03:14 PM Last Post: tommy1729 tetration base sqrt(e) tommy1729 2 3,055 02/14/2015, 12:36 AM Last Post: tommy1729 Explicit formula for the tetration to base [tex]e^{1/e}[/tex]? mike3 1 2,693 02/13/2015, 02:26 PM Last Post: Gottfried tetration base > exp(2/5) tommy1729 2 2,840 02/11/2015, 12:29 AM Last Post: tommy1729 about power towers and base change tommy1729 7 7,449 05/04/2014, 08:30 AM Last Post: tommy1729

Users browsing this thread: 1 Guest(s)