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using sinh(x) ?
#69
(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 is exactly analogous to iterating tetration base . Then, taking the logarithm as the first step in the base change results in singularities whenever , where

Actually, for every singularity in the base change, there are two singularities for 2sinh(z), and the singularities for for both functions are very nearly in the same place in the complex plane!
- Sheldon
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Messages In This Thread
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: 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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