open problems survey

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open problems survey

bo198214 $Offline$
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05/01/2009, 09:20 AM (This post was last modified: 05/01/2009, 09:24 AM by bo198214.)

For a discussion of the topic see http://math.eretrandre.org/tetrationforu...11#pid2411
Conjecture
Let $b=\sqrt{2}$ . Every real function $f$ on $(-2,\infty)$ that satisfies:
$f(0)=1$
$f(x+1)=b^{f(x)}$
$f(-f(x))=-x$

is not continuous at any point.

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open problems survey - by bo198214 - 05/17/2008, 10:03 AM

eigenvalues of Carleman matrix for b^x, TPID 1 - by bo198214 - 05/17/2008, 10:23 AM

Exponential Factorial, TPID 2 - by andydude - 05/26/2008, 03:24 PM

eigenvalues of Carleman matrix for (x+s)^p-s, TPID 3 - by bo198214 - 06/29/2008, 12:36 PM

Existence of bounded b^z TPID 4 - by bo198214 - 10/08/2008, 04:22 PM

RE: Existence of bounded b^z TPID 4 - by tommy1729 - 06/16/2022, 11:05 PM

sqrt(2) tetrational is completely discontinuous TPID 5 - by bo198214 - 05/01/2009, 09:20 AM

Limit of self-super-roots is e^1/e. TPID 6 - by andydude - 10/07/2009, 12:03 AM

A conjecture on bounds. TPID 7 - by andydude - 10/23/2009, 05:27 AM

Elementary superfunction of polynomial without real fixed points TPID 8 - by bo198214 - 04/25/2010, 10:53 AM

Logarithm reciprocal TPID 9 - by bo198214 - 07/20/2010, 05:50 AM

Convergence of Eulers and Etas. TPID 10 - by dantheman163 - 10/31/2010, 07:13 PM

RE: open problems survey - by nuninho1980 - 10/31/2010, 09:50 PM

Tommy's conjecture about Eulers and Etas. TPID 11. - by tommy1729 - 12/01/2010, 03:56 PM

convergence of self-tetra-root polynomial interpolation. TPID 12 - by bo198214 - 05/31/2011, 04:54 PM

convergence of self-root polynomial interpolation. TPID 13 - by bo198214 - 05/31/2011, 07:02 PM

Tommy's conjecture about andrew slog method. TPID 14 - by tommy1729 - 06/01/2011, 06:23 PM

Tommy's conjecture TPID 16 - by tommy1729 - 06/07/2014, 10:44 PM

Error terms for fake function theory TPID 17 - by tommy1729 - 03/28/2015, 10:48 PM

The third super-root TPID 18 - by andydude - 12/25/2015, 06:16 AM

RE: open problems survey - by JmsNxn - 08/23/2021, 11:54 PM

RE: open problems survey - by Gottfried - 07/04/2022, 11:10 AM

RE: open problems survey - by tommy1729 - 07/04/2022, 01:12 PM

RE: open problems survey - by Gottfried - 07/04/2022, 01:19 PM

RE: open problems survey - by Catullus - 07/12/2022, 03:22 AM

RE: open problems survey - by JmsNxn - 07/12/2022, 05:39 AM

RE: open problems survey - by Catullus - 11/01/2022, 06:33 AM

RE: open problems survey - by Leo.W - 08/10/2022, 01:23 PM

RE: open problems survey - by tommy1729 - 08/12/2022, 01:28 AM

RE: open problems survey - by Leo.W - 08/12/2022, 05:26 AM

RE: open problems survey - by Catullus - 12/22/2022, 06:37 AM

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