Is successor function analytic?
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Is successor function analytic?
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09/22/2022, 12:19 PM
Consider the Ackermann successor function \[\varphi(u)\] such that \[\varphi(a \uparrow ^m b)=a \uparrow ^{m+1} b\]. Is \[\varphi(u)\] analytic? If so then the complex dynamics of \[\varphi^n(u)\] can be studied where there is a finite real fixed at point \[a\uparrow^\infty\infty\]. For example where \[1 \leq a < e^\frac{1}{e}\].
Daniel
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Is successor function analytic? - by Daniel - 09/22/2022, 12:19 PM
RE: Is successor function analytic? - by bo198214 - 09/28/2022, 04:57 PM
RE: Is successor function analytic? - by MphLee - 10/14/2022, 04:28 PM
RE: Is successor function analytic? - by Daniel - 10/14/2022, 05:39 PM
RE: Is successor function analytic? - by MphLee - 10/14/2022, 05:50 PM
RE: Is successor function analytic? - by JmsNxn - 11/27/2022, 06:13 AM
RE: Is successor function analytic? - by JmsNxn - 11/28/2022, 12:03 PM
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