Behaviour of exp^[1/2](2 log^[1/2](x)) and exp^[1/2](1/2 log^[1/2](x)) ?
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Behaviour of exp^[1/2](2 log^[1/2](x)) and exp^[1/2](1/2 log^[1/2](x)) ?
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02/24/2013, 10:56 AM
(This post was last modified: 02/24/2013, 10:56 AM by Balarka Sen.)
cosurgi Wrote:unless you can give me some formula for half-iterated logarithm and exp. They are both defined as f(f(x)) = e^x and f(f(x)) = log(x), respectively. A closed form expression can be obtained for the former one in terms of natural tetration (base-e tetration) if I am not wrong but I don't know anything about the later one, unfortunately. |
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Behaviour of exp^[1/2](2 log^[1/2](x)) and exp^[1/2](1/2 log^[1/2](x)) ? - by tommy1729 - 02/20/2013, 12:38 AM
RE: Behaviour of exp^[1/2](2 log^[1/2](x)) and exp^[1/2](1/2 log^[1/2](x)) ? - by tommy1729 - 02/20/2013, 10:58 PM
RE: Behaviour of exp^[1/2](2 log^[1/2](x)) and exp^[1/2](1/2 log^[1/2](x)) ? - by tommy1729 - 02/21/2013, 11:40 PM
RE: Behaviour of exp^[1/2](2 log^[1/2](x)) and exp^[1/2](1/2 log^[1/2](x)) ? - by cosurgi - 02/23/2013, 11:54 PM
RE: Behaviour of exp^[1/2](2 log^[1/2](x)) and exp^[1/2](1/2 log^[1/2](x)) ? - by Balarka Sen - 02/24/2013, 06:54 AM
RE: Behaviour of exp^[1/2](2 log^[1/2](x)) and exp^[1/2](1/2 log^[1/2](x)) ? - by cosurgi - 02/24/2013, 10:22 AM
RE: Behaviour of exp^[1/2](2 log^[1/2](x)) and exp^[1/2](1/2 log^[1/2](x)) ? - by Balarka Sen - 02/24/2013, 10:56 AM
RE: Behaviour of exp^[1/2](2 log^[1/2](x)) and exp^[1/2](1/2 log^[1/2](x)) ? - by tommy1729 - 02/26/2013, 11:33 PM
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