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tetration base sqrt(e)

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tetration base sqrt(e)
tommy1729 Offline
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#2
02/14/2015, 12:18 AM
Questions :

A)
Does this agree with Levy's formula ?

Levy_f(x) = lim ( f^[n+1](x) - f^[n](u) )/( f^[n+1](u) - f^[n](u) )

B)
And can we , if not published already , extend Levy's method with a differential equation to speed up the convergeance ?

I think so.

I was thinking about introducing bring radicals to consider iterations of any entire g(x) = x - x^5 + ... .

C)

I know Levy and others published similar looking formula's , maybe that helps.

regards

tommy1729
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Messages In This Thread
tetration base sqrt(e) - by tommy1729 - 01/16/2015, 11:38 PM
RE: tetration base sqrt(e) - by tommy1729 - 02/14/2015, 12:18 AM
RE: tetration base sqrt(e) - by tommy1729 - 02/14/2015, 12:36 AM

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