Timeline for "Closed-form" functions with half-exponential growth
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
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| Jun 24, 2016 at 11:32 | comment | added | Todd Trimble | John, the Mathematica script and the image seem not to be accessible; could you rectify that when you have a chance? Thanks. | |
| May 5, 2011 at 14:06 | comment | added | John Sidles | Thank you very much, Gerald! It appears that these authors and I are solving somewhat different problems, using rather similar methods ... and they too are reporting mainly numerical results. It seems there is an opportunity here for someone (not me!) to advance our analytical understanding of these functions. | |
| May 4, 2011 at 15:19 | comment | added | Gerald Edgar | here it is... H.Trappmann, D.Kouznetsov. Uniqueness of Analytic Abel Functions in Absence of a Real Fixed Point. Aequationes Mathematicae, v.81, p.65-76 (2011) | |
| May 2, 2011 at 16:51 | history | edited | John Sidles | CC BY-SA 3.0 |
Postcript added that summarizes present knowledge
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| Apr 29, 2011 at 19:19 | comment | added | Gerald Edgar | There is a paper (I don't have the reference handy) that as I recall does this: Using the idea of the fixed-point construction of the fractional iterate, but in case there is no real fixed point, uses a pair of complex-conjugate fixed points to construct a real fractional iterate. I think some contour integrals were in there, too. | |
| Apr 29, 2011 at 18:14 | history | edited | John Sidles | CC BY-SA 3.0 |
Fixed the URL to Lipton's weblog.
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| Apr 29, 2011 at 17:35 | history | edited | John Sidles | CC BY-SA 3.0 |
Comments from Dick Lipton/Ken Regan weblog, added references
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| Feb 13, 2011 at 20:17 | history | edited | John Sidles | CC BY-SA 2.5 |
Added graph of half-exponential function
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| Dec 7, 2010 at 22:36 | history | answered | John Sidles | CC BY-SA 2.5 |