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I was playing around with Maple and I noticed that.

=1.995455958
I then added some parameters and came up with the following:
For positive a and b, and c>2.
I do not know why this is, but I find it very interesting. The self-root function is the inverse of an infinite order tetration.
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(04/03/2010, 04:25 AM)Ztolk Wrote: I was playing around with Maple and I noticed that.
=1.995455958
I then added some parameters and came up with the following:
}dx)
For positive a and b, and c>2.
I do not know why this is, but I find it very interesting. The self-root function is the inverse of an infinite order tetration.
have you tried substitution ?
a moebius substitution ?
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(04/07/2010, 04:04 PM)Ztolk Wrote: What is that?
http://en.wikipedia.org/wiki/Integration...bstitution
http://en.wikipedia.org/wiki/M%C3%B6bius_transformation
combining the above two and leaving out the restriction ad -bc = 0 if needed.
regards
tommy1729
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(04/03/2010, 04:25 AM)Ztolk Wrote: I was playing around with Maple and I noticed that.
=1.995455958
the substitution y = 1/x proves it.
regards
tommy1729
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04/11/2010, 12:52 AM
(This post was last modified: 04/11/2010, 01:45 AM by Ztolk.)
So it does. Neat. Thanks.
I should try this with the full three parameter version.
edit: 1/x substitution checks out for the full thing.