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+--- Thread: Iterated Hyperbolic Sine and Iterated Natural Logarithm (/showthread.php?tid=1519)
Iterated Hyperbolic Sine and Iterated Natural Logarithm - Catullus - 06/11/2022
If you do ln(sinh(x)) and ln(ln(sinh(sinh(x)))) and ln(ln(ln(sinh(sinh(sinh(x)))))) they do seem to converge.
Also if you iterate 2sinh instead of sinh it also seems to converge. (I like the 2sinh function a lot by the way.
)Does anyone know of any closed forms of what these converge to?
RE: Iterated Hyperbolic Sine and Iterated Natural Logarithm - JmsNxn - 06/11/2022
(06/11/2022, 05:26 AM)Catullus Wrote: If you do ln(sinh(x)) and ln(ln(sinh(sinh(x)))) and ln(ln(ln(sinh(sinh(sinh(x)))))) they do seem to converge.
Also if you iterate 2sinh instead of sinh it also seems to converge.
Does anyone know of any closed forms of what these converge to?
Also his is my 64th post!
TOMMY's METHOD!
RE: Iterated Hyperbolic Sine and Iterated Natural Logarithm - tommy1729 - 06/11/2022
(06/11/2022, 07:37 AM)JmsNxn Wrote:(06/11/2022, 05:26 AM)Catullus Wrote: If you do ln(sinh(x)) and ln(ln(sinh(sinh(x)))) and ln(ln(ln(sinh(sinh(sinh(x)))))) they do seem to converge.
Also if you iterate 2sinh instead of sinh it also seems to converge.
Does anyone know of any closed forms of what these converge to?
Also his is my 64th post!
TOMMY's METHOD!
yes !
https://math.eretrandre.org/tetrationforum/showthread.php?tid=424
( mainly )
regards
tommy1729