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A conjectured uniqueness criteria for analytic tetration
#14
So I posted here the most solvable version of your question I could think of on MO http://mathoverflow.net/questions/262444...-functions

If this statement turns out to be true then it unequivocably proves that not only is the schroder iteration method the only completely monotone solution to tetration; but also for pentation, sexation, and so on. I'm confident this statement follows too. This would give a really good real valued criterion for the uniqueness of for and . I hope someone in the more general mathematics community might be able to help us.
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RE: A conjectured uniqueness criteria for analytic tetration - by JmsNxn - 02/17/2017, 05:21 AM

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