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Oct 25, 2022 at 14:58 comment added Timothy Chow There is now a Monthly article on this topic: Finding a compositional square root of sine, by Tongtong Chen and Edward Scheinerman. Example 12 discusses finding a compositional square root of the exponential function.
Apr 12, 2020 at 4:00 comment added none There is a wiki article, half-exponential function. It now links back to this MO discussion ;).
Apr 12, 2020 at 1:55 answer added Nirvana timeline score: 0
Oct 5, 2018 at 13:57 answer added Denis Serre timeline score: 5
May 15, 2018 at 23:36 history edited Qfwfq CC BY-SA 4.0
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May 15, 2018 at 20:50 answer added Franklin Pezzuti Dyer timeline score: 2
Apr 11, 2016 at 20:26 review Close votes
Apr 12, 2016 at 7:37
S Apr 11, 2016 at 19:54 history suggested user86028 CC BY-SA 3.0
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Apr 11, 2016 at 19:35 review Suggested edits
S Apr 11, 2016 at 19:54
Jul 9, 2015 at 12:05 answer added Dmitrii Kouznetsov timeline score: 6
Nov 7, 2010 at 19:10 comment added Christian Blatter Having read the answers $1-7$, for me the most interesting problem here is the one posed by Gil Kalai in MO question 4347: Find a function definable in finite terms that for $x\to\infty$ satisfies $f(f(x)\sim e^x$ in some sense.
Nov 7, 2010 at 13:10 history edited j.c.
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Nov 7, 2010 at 12:59 answer added bo198214 timeline score: 35
Nov 6, 2010 at 9:29 answer added user37691 timeline score: 8
Nov 6, 2010 at 6:52 comment added user37691 See the tag fractional-iteration for other related questions.
Nov 6, 2010 at 5:57 answer added Anixx timeline score: 4
Jan 19, 2010 at 2:31 answer added Richard Stanley timeline score: 17
Jan 17, 2010 at 9:38 comment added Gil Kalai A related question: mathoverflow.net/questions/4347/…
Jan 17, 2010 at 8:28 answer added Ilya Nikokoshev timeline score: 6
Jan 17, 2010 at 8:09 answer added engelbrekt timeline score: 52
Jan 17, 2010 at 7:55 answer added zeb timeline score: 1
Jan 17, 2010 at 7:30 history asked 2010 Joint Meetings CC BY-SA 2.5