Are tetrations fixed points analytic?
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Are tetrations fixed points analytic?
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12/14/2016, 07:36 AM
(This post was last modified: 12/14/2016, 07:38 AM by sheldonison.)
(12/12/2016, 10:56 PM)JmsNxn Wrote: Algebraically we can characterize \( \tau_\alpha \) by the equations Yes it is analytic. There is the well known equation for the fixed point using the LambertW function. \( \alpha^{\tau_\alpha}={\tau_\alpha} \;\;\;\; {\tau_\alpha} =\frac{W(-\ln(\alpha))}{-\ln(\alpha)} \)
- Sheldon
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Are tetrations fixed points analytic? - by JmsNxn - 12/12/2016, 10:56 PM
RE: Are tetrations fixed points analytic? - by sheldonison - 12/14/2016, 07:36 AM
RE: Are tetrations fixed points analytic? - by JmsNxn - 12/14/2016, 08:50 PM
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