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about kouznetsov again
#2
(08/12/2010, 12:26 PM)tommy1729 Wrote: about kouznetsov's tetration.

lim b -> oo f(a + bi) = fixpoint exp.

that seems true for integer a and integer b but is that true for all real a and b ?

it was said to be periodic , so i guess not.

It's true for all real a. b isn't free in that formula; the limit does not depend on how b approaches oo. Of course, this only works for bases greater than eta; below that the tetration function would be periodic, as you point out.
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Messages In This Thread
about kouznetsov again - by tommy1729 - 08/12/2010, 12:26 PM
RE: about kouznetsov again - by BenStandeven - 08/13/2010, 05:41 AM

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