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Change of base formula for Tetration

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Change of base formula for Tetration
bo198214 Offline
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#17
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).
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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 bo198214 - 08/13/2007, 08:23 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

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