using sinh(x) ?

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using sinh(x) ?

sheldonison $Offline$
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#69

11/20/2012, 11:46 PM (This post was last modified: 11/20/2012, 11:53 PM by sheldonison.)

(11/20/2012, 11:32 PM)tommy1729 Wrote: I think the same applies to the base change ...

I do not immediately know a way around it.

Yes! The exact same thing applies to the base change. Iterating $s(z)=\exp(z-1)$ is exactly analogous to iterating tetration base $\eta=\exp(1/e)$ . Then, taking the logarithm as the first step in the base change results in singularities whenever $s^{[z]}=2n\pi i$ , where $\log(s^{[z+1]})=\log(e^{2n\pi i}-1)=\log(0)$

Actually, for every singularity in the base change, there are two singularities for 2sinh(z), and the singularities for $2n\pi i$ for both functions are very nearly in the same place in the complex plane!
- Sheldon

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using sinh(x) ? - by tommy1729 - 02/28/2010, 12:22 AM

RE: using sinh(x) ? - by tommy1729 - 03/06/2010, 12:35 PM

RE: using sinh(x) ? - by bo198214 - 03/07/2010, 11:19 AM

using 2* sinh(x) ! - by tommy1729 - 03/09/2010, 01:31 PM

RE: using 2* sinh(x) ! - by bo198214 - 03/10/2010, 11:38 AM

RE: using 2* sinh(x) ! - by tommy1729 - 03/11/2010, 12:50 AM

RE: using 2* sinh(x) ! - by tommy1729 - 03/14/2010, 01:07 AM

RE: using 2* sinh(x) ! - by sheldonison - 06/02/2010, 04:47 PM

RE: using 2* sinh(x) ! - by tommy1729 - 06/02/2010, 10:13 PM

RE: using 2* sinh(x) ! - by sheldonison - 06/02/2010, 10:56 PM

RE: using 2* sinh(x) ! - by tommy1729 - 06/07/2010, 12:34 AM

RE: using 2* sinh(x) ! - by sheldonison - 06/08/2010, 01:59 PM

RE: using 2* sinh(x) ! - by tommy1729 - 06/09/2010, 12:18 PM

RE: using 2* sinh(x) ! - by mike3 - 06/11/2010, 02:23 AM

RE: using 2* sinh(x) ! - by bo198214 - 06/12/2010, 04:36 AM

RE: using 2* sinh(x) ! - by mike3 - 06/12/2010, 11:14 AM

RE: using 2* sinh(x) ! - by tommy1729 - 06/21/2010, 09:14 PM

RE: using 2* sinh(x) ! - by sheldonison - 06/23/2010, 06:06 PM

RE: using 2* sinh(x) ! - by tommy1729 - 06/23/2010, 09:11 PM

RE: using 2* sinh(x) ! - by tommy1729 - 06/23/2010, 09:31 PM

RE: using 2* sinh(x) ! - by bo198214 - 06/27/2010, 09:16 AM

RE: using 2* sinh(x) ! - by sheldonison - 06/04/2010, 04:48 AM

RE: using sinh(x) ? - by tommy1729 - 04/24/2010, 11:47 PM

RE: using sinh(x) ? - by bo198214 - 05/31/2010, 05:52 AM

RE: using sinh(x) ? - by tommy1729 - 06/01/2010, 10:58 PM

RE: using sinh(x) ? - by bo198214 - 06/02/2010, 02:58 AM

RE: using sinh(x) ? - by tommy1729 - 06/22/2010, 11:18 PM

RE: using sinh(x) ? - by tommy1729 - 06/23/2010, 10:44 PM

RE: using sinh(x) ? - by tommy1729 - 06/24/2010, 12:29 PM

RE: using sinh(x) ? - by tommy1729 - 06/24/2010, 07:22 PM

RE: using sinh(x) ? - by bo198214 - 06/26/2010, 12:04 PM

RE: using sinh(x) ? - by tommy1729 - 06/26/2010, 09:19 PM

attracting fixed point of 2sinh - by sheldonison - 06/27/2010, 03:31 AM

RE: attracting fixed point of 2sinh - by tommy1729 - 06/28/2010, 11:23 PM

RE: attracting fixed point of 2sinh - by sheldonison - 06/29/2010, 03:18 AM

RE: attracting fixed point of 2sinh - by tommy1729 - 06/29/2010, 10:45 PM

RE: attracting fixed point of 2sinh - by sheldonison - 06/30/2010, 01:12 AM

RE: attracting fixed point of 2sinh - by tommy1729 - 06/30/2010, 02:35 PM

RE: attracting fixed point of 2sinh - by sheldonison - 06/30/2010, 03:34 PM

RE: using sinh(x) ? - by tommy1729 - 07/18/2010, 10:41 PM

RE: using sinh(x) ? - by sheldonison - 07/19/2010, 09:37 PM

RE: using sinh(x) ? - by tommy1729 - 07/20/2010, 08:24 PM

RE: using sinh(x) ? - by tommy1729 - 07/19/2010, 10:20 PM

RE: using sinh(x) ? - by sheldonison - 07/20/2010, 03:13 PM

RE: using sinh(x) ? - by tommy1729 - 07/20/2010, 08:31 PM

RE: using sinh(x) ? - by sheldonison - 07/21/2010, 03:19 AM

RE: using sinh(x) ? - by tommy1729 - 07/21/2010, 10:34 PM

RE: using sinh(x) ? - by sheldonison - 07/22/2010, 12:23 PM

RE: using sinh(x) ? - by tommy1729 - 07/28/2010, 02:24 PM

RE: using sinh(x) ? - by tommy1729 - 07/28/2010, 02:53 PM

RE: using sinh(x) ? - by tommy1729 - 12/04/2010, 11:09 PM

RE: using sinh(x) ? - by tommy1729 - 12/08/2010, 02:31 PM

RE: using sinh(x) ? - by sheldonison - 01/17/2011, 07:43 PM

RE: using sinh(x) ? - by tommy1729 - 01/17/2011, 11:36 PM

RE: using sinh(x) ? - by tommy1729 - 07/02/2011, 10:32 PM

RE: using sinh(x) ? - by tommy1729 - 07/04/2011, 10:56 PM

RE: using sinh(x) ? - by sheldonison - 07/05/2011, 01:09 AM

RE: using sinh(x) ? - by tommy1729 - 07/05/2011, 12:06 PM

RE: using sinh(x) ? - by tommy1729 - 11/18/2012, 11:41 PM

RE: using sinh(x) ? - by sheldonison - 11/20/2012, 12:01 AM

RE: using sinh(x) ? - by tommy1729 - 11/20/2012, 10:53 PM

RE: using sinh(x) ? - by sheldonison - 11/20/2012, 11:01 PM

RE: using sinh(x) ? - by tommy1729 - 11/20/2012, 11:32 PM

RE: using sinh(x) ? - by sheldonison - 11/20/2012, 11:46 PM

RE: using sinh(x) ? - by tommy1729 - 11/28/2012, 06:59 PM

RE: using sinh(x) ? - by tommy1729 - 11/28/2012, 08:07 PM

RE: using sinh(x) ? - by tommy1729 - 12/17/2012, 04:34 PM

RE: using sinh(x) ? - by tommy1729 - 02/10/2015, 12:02 AM

RE: using sinh(x) ? - by tommy1729 - 04/22/2015, 12:27 PM

RE: using sinh(x) ? - by tommy1729 - 04/23/2015, 04:49 PM

RE: using sinh(x) ? - by tommy1729 - 10/26/2015, 12:56 AM

RE: using sinh(x) ? - by tommy1729 - 11/26/2015, 11:56 PM

RE: using sinh(x) ? - by sheldonison - 11/27/2015, 03:41 PM

RE: using sinh(x) ? - by tommy1729 - 11/28/2015, 01:21 PM

RE: using sinh(x) ? - by sheldonison - 11/29/2015, 03:03 PM

RE: using sinh(x) ? - by tommy1729 - 12/01/2015, 01:22 PM

RE: using sinh(x) ? - by sheldonison - 12/01/2015, 02:58 PM

RE: using sinh(x) ? - by tommy1729 - 12/02/2015, 12:04 AM

RE: using sinh(x) ? - by tommy1729 - 12/01/2015, 08:18 PM

RE: using sinh(x) ? - by tommy1729 - 12/02/2015, 12:28 AM

RE: using sinh(x) ? - by tommy1729 - 02/23/2016, 10:36 PM

RE: using sinh(x) ? - by tommy1729 - 02/24/2016, 01:27 PM

RE: using sinh(x) ? - by tommy1729 - 03/01/2016, 10:38 PM

RE: using sinh(x) ? - by tommy1729 - 03/05/2016, 01:27 PM

RE: using sinh(x) ? - by tommy1729 - 03/05/2016, 11:38 PM

RE: using sinh(x) ? - by sheldonison - 03/06/2016, 03:16 PM

RE: using sinh(x) ? - by tommy1729 - 03/06/2016, 10:54 PM

RE: using sinh(x) ? - by tommy1729 - 03/07/2016, 01:48 AM

RE: using sinh(x) ? - by tommy1729 - 03/07/2016, 10:46 AM

RE: using sinh(x) ? - by tommy1729 - 03/07/2016, 09:36 PM

RE: using sinh(x) ? - by tommy1729 - 03/08/2016, 12:26 AM

RE: using sinh(x) ? - by tommy1729 - 03/11/2016, 01:27 PM

RE: using sinh(x) ? - by tommy1729 - 03/12/2016, 01:12 PM

RE: using sinh(x) ? - by tommy1729 - 03/12/2016, 01:20 PM

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