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Iterating at fixed points of b^x
#13
Daniel Wrote:
bo198214 Wrote:
Daniel Wrote:Just consider the term
in .
Öhm, a bit more explanative?
This is just a version of my definition for extending tetration from http://tetration.org/tetration_net/tetra...omplex.htm . The Taylor series of taken at has the zero term at the fixed point of course and then .

This is surely true, but I dont see the connection to showing that the regular iteration at fixed point is non-real for real arguments . Natural numbered iterations of at any fixed point of course yield real values for real arguments , just . Which is no more true for fractional iterations.
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Messages In This Thread
Iterating at fixed points of b^x - by bo198214 - 09/08/2007, 10:02 AM
The fixed points of e^x - by bo198214 - 09/08/2007, 10:34 AM
The fixed points of b^x - by bo198214 - 09/08/2007, 11:36 AM
RE: Iterating at fixed points of b^x - by jaydfox - 09/12/2007, 06:23 AM
RE: Iterating at fixed points of b^x - by GFR - 10/03/2007, 11:03 PM
RE: Iterating at fixed points of b^x - by GFR - 01/31/2008, 03:07 PM

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