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Tetration extension for bases between 1 and eta
#4
Let me rephrase in my words:

We consider the linear functions on (k-1,k) determined by and , they are given by:
.

As f is concave for , and as is strictly increasing we have also .
On the other hand we know that for , hence and for .

We have now for . But I think that does not directly show the convergence .

Any ideas?
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Messages In This Thread
RE: Tetration extension for bases between 1 and eta - by bo198214 - 11/07/2009, 09:31 AM

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