Generalized recursive operators
#34
andydude Wrote:For \( 1 < b < \eta = e^{1/e} \) tetration has 2 fixed points, and for \( b > B \) (does \( B = \eta \)?) tetration has only the lower fixed point. Since the lower fixed point of tetration falls between two integers is does depend on which extension is used.

Thanks for the explanation. Maybe also interesting for Ivars asking for *the* value of each \( \lim_{x\to -\infty} \)b[2n+1]x.
Reply


Messages In This Thread
Generalized recursive operators - by Whiteknox - 11/23/2007, 06:42 AM
RE: Generalized recursive operators - by bo198214 - 11/23/2007, 08:41 AM
RE: Generalized recursive operators - by andydude - 11/25/2007, 01:02 AM
RE: Generalized recursive operators - by andydude - 11/29/2007, 04:45 AM
RE: Generalized recursive operators - by andydude - 11/29/2007, 05:55 AM
RE: Generalized recursive operators - by andydude - 11/29/2007, 06:20 AM
RE: Generalized recursive operators - by andydude - 11/30/2007, 06:12 PM
RE: Generalized recursive operators - by andydude - 11/30/2007, 09:18 PM
RE: Generalized recursive operators - by bo198214 - 03/07/2008, 06:58 PM
RE: Generalized recursive operators - by Ivars - 02/02/2008, 10:11 PM
RE: Generalized recursive operators - by Ivars - 02/03/2008, 10:41 AM
RE: Generalized recursive operators - by andydude - 02/11/2008, 09:47 PM
RE: Generalized recursive operators - by Ivars - 02/14/2008, 06:05 PM
RE: Generalized recursive operators - by GFR - 02/03/2008, 04:12 PM
RE: Generalized recursive operators - by Ivars - 02/03/2008, 08:48 PM
RE: Generalized recursive operators - by GFR - 02/06/2008, 02:44 PM
RE: Generalized recursive operators - by Ivars - 02/06/2008, 02:56 PM
RE: Generalized recursive operators - by Ivars - 02/06/2008, 03:43 PM
RE: Generalized recursive operators - by GFR - 03/10/2008, 09:53 PM
RE: Generalized recursive operators - by GFR - 03/11/2008, 10:24 AM
RE: Generalized recursive operators - by bo198214 - 03/11/2008, 10:53 AM
RE: Generalized recursive operators - by GFR - 03/12/2008, 12:13 AM
RE: Generalized recursive operators - by GFR - 03/13/2008, 06:41 PM
RE: Generalized recursive operators - by Stan - 04/04/2011, 11:52 PM

Possibly Related Threads…
Thread Author Replies Views Last Post
  How could we define negative hyper operators? Shanghai46 2 8,715 11/27/2022, 05:46 AM
Last Post: JmsNxn
  "circular" operators, "circular" derivatives, and "circular" tetration. JmsNxn 15 41,700 07/29/2022, 04:03 AM
Last Post: JmsNxn
  The modified Bennet Operators, and their Abel functions JmsNxn 6 13,233 07/22/2022, 12:55 AM
Last Post: JmsNxn
  The \(\varphi\) method of semi operators, the first half of my research JmsNxn 13 24,807 07/17/2022, 05:42 AM
Last Post: JmsNxn
  The bounded analytic semiHyper-operators JmsNxn 4 18,901 06/29/2022, 11:46 PM
Last Post: JmsNxn
  Holomorphic semi operators, using the beta method JmsNxn 71 113,012 06/13/2022, 08:33 PM
Last Post: JmsNxn
  A relaxed zeta-extensions of the Recursive Hyperoperations MphLee 3 10,900 06/06/2022, 07:37 PM
Last Post: MphLee
  Hyper operators in computability theory JmsNxn 5 23,099 02/15/2017, 10:07 PM
Last Post: MphLee
  Recursive formula generating bounded hyper-operators JmsNxn 0 7,634 01/17/2017, 05:10 AM
Last Post: JmsNxn
  Rational operators (a {t} b); a,b > e solved JmsNxn 30 134,215 09/02/2016, 02:11 AM
Last Post: tommy1729



Users browsing this thread: 2 Guest(s)