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Tetration extension for bases between 1 and eta
#2
Hey Dan, thank you for this contribution.

The formula you mention is the inversion of Lévy's formula (which is generally applicable to functions with f'(p)=1 for a fixed point p of f).
See e.g. the tetration methods draft, formula 2.26 (where formula 2.27 is called Lévy's formula).

The formula is known to give the regular tetration for . However it is new to apply it to . So I am really curious about your proof.

PS: for writing formulas in this forum please have a look at this post.
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RE: Tetration extension for bases between 1 and eta - by bo198214 - 11/05/2009, 01:44 PM

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