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regular tetration base sqrt(2) : an interesting(?) constant 2.76432104
#4
(06/22/2013, 09:55 PM)Gottfried Wrote: ....
where denotes the Schröder function.
Hey Gottfried!

So then, the Schröder function of -infinity for base sqrt(2) from the fixed point of 2 turns out to be . The significance of this value is that it is also the radius of convergence of the Taylor series for the inverse Schröder function, since -infinity is the nearest singularity, so the radius of convergence would be approximately 1.3156.

Then we use the inverse Schröder function of to get Gottfried's number.

- Sheldon
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RE: regular tetration base sqrt(2) : an interesting(?) constant 2.76432104 - by sheldonison - 06/23/2013, 11:13 AM

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