Thread Rating:
  • 0 Vote(s) - 0 Average
  • 1
  • 2
  • 3
  • 4
  • 5
Mizugadro, pentation, Book
#21
(02/09/2015, 10:35 PM)tommy1729 Wrote: For instance the solutions for bases between 1 and eta are unique.
So basicly these are traditional fixpoint methods.

I recently wrote about parabolic fixpoints and I assume your aware of the koenigs function.
Truncating Taylor series by polynomials or other functions can lead to alternative ways of computation.

mmhh... to be honest I don't know what is the Koenigs function. My knowledge is almost negative in this field (or immaginary xd).
BTW I'm reading about it right now..

It actually says that if is a function with some properties (holomorphic mapping of the unit disck to itself... and so on) then there exist an unique holomorphic solution to the schroeder's equation



with and .
Then this unique solution is called Koenigs function.

So if the conditions of the Koenings theorem are satisfied by some function we are interested in it should give us an unique holomorphic solution to a schroeder equation, and since its conjugated with the abel equation we will get an unique Abel function as well... is this the point? When I have time I'll check the post you are talking about (parabolic fixedpoints)
MathStackExchange account:MphLee
Reply


Messages In This Thread
Mizugadro, pentation, Book - by Kouznetsov - 01/11/2015, 06:05 AM
RE: Mizugadro, pentation, Book - by MphLee - 01/11/2015, 02:32 PM
RE: Mizugadro, pentation, Book - by Kouznetsov - 01/11/2015, 05:01 PM
RE: Mizugadro, pentation, Book - by tommy1729 - 01/12/2015, 12:06 AM
RE: Mizugadro, pentation, Book - by Kouznetsov - 01/12/2015, 05:11 AM
RE: Mizugadro, pentation, Book - by sheldonison - 01/13/2015, 02:56 PM
RE: Mizugadro, pentation, Book - by Kouznetsov - 01/13/2015, 06:52 PM
RE: Mizugadro, pentation, Book - by sheldonison - 01/13/2015, 09:02 PM
RE: Mizugadro, pentation, Book - by Kouznetsov - 01/14/2015, 01:12 AM
RE: Mizugadro, pentation, Book - by sheldonison - 01/12/2015, 03:43 AM
RE: Mizugadro, pentation, Book - by tommy1729 - 01/14/2015, 01:21 AM
RE: Mizugadro, pentation, Book - by Kouznetsov - 01/14/2015, 04:08 AM
RE: Mizugadro, pentation, Book - by tommy1729 - 01/15/2015, 01:12 PM
RE: Mizugadro, pentation, Book - by Kouznetsov - 01/15/2015, 03:09 PM
RE: Mizugadro, pentation, Book - by tommy1729 - 01/16/2015, 12:31 AM
RE: Mizugadro, pentation, Book - by MphLee - 02/09/2015, 08:19 PM
RE: Mizugadro, pentation, Book - by Kouznetsov - 02/10/2015, 12:07 AM
RE: Mizugadro, pentation, Book - by Kouznetsov - 02/10/2015, 12:18 AM
RE: Mizugadro, pentation, Book - by tommy1729 - 02/09/2015, 10:35 PM
RE: Mizugadro, pentation, Book - by MphLee - 02/10/2015, 12:48 PM
RE: Mizugadro, pentation, Book - by MphLee - 02/10/2015, 12:12 PM
RE: Mizugadro, pentation, Book - by Kouznetsov - 02/10/2015, 02:40 PM
RE: Mizugadro, pentation, Book - by Gottfried - 02/11/2015, 09:04 PM
RE: Mizugadro, pentation, Book - by Kouznetsov - 02/12/2015, 12:27 AM
RE: Mizugadro, pentation, Book - by Gottfried - 02/12/2015, 04:10 PM
RE: Mizugadro, pentation, Book - by Kouznetsov - 02/13/2015, 02:04 AM
RE: Mizugadro, pentation, Book - by Gottfried - 02/13/2015, 10:09 AM
RE: Mizugadro, pentation, Book - by Kouznetsov - 02/13/2015, 12:23 PM
RE: Mizugadro, pentation, Book - by tommy1729 - 02/13/2015, 12:45 AM
RE: Mizugadro, pentation, Book - by Kouznetsov - 02/13/2015, 02:25 AM
RE: Mizugadro, pentation, Book - by tommy1729 - 02/13/2015, 01:21 PM
RE: Mizugadro, pentation, Book - by Kouznetsov - 02/14/2015, 01:22 AM
RE: Mizugadro, pentation, Book - by tommy1729 - 02/15/2015, 05:23 PM
RE: Mizugadro, pentation, Book - by Kouznetsov - 02/16/2015, 12:03 AM
RE: Mizugadro, pentation, Book - by mike3 - 02/16/2015, 12:16 AM
RE: Mizugadro, pentation, Book - by tommy1729 - 02/16/2015, 01:05 AM
RE: Mizugadro, pentation, Book - by Kouznetsov - 02/16/2015, 01:47 AM
RE: Mizugadro, pentation, Book - by tommy1729 - 02/16/2015, 01:56 AM
RE: Mizugadro, pentation, Book - by tommy1729 - 02/16/2015, 02:23 AM
RE: Mizugadro, pentation, Book - by tommy1729 - 02/17/2015, 01:34 PM
RE: Mizugadro, pentation, Book - by MphLee - 02/17/2015, 03:36 PM
RE: Mizugadro, pentation, Book - by sheldonison - 03/02/2015, 08:13 PM

Possibly Related Threads...
Thread Author Replies Views Last Post
  pentation and hexation sheldonison 9 7,295 09/18/2019, 02:34 PM
Last Post: sheldonison
  Tetration is pentation. This deserve more thinking. marraco 2 3,374 03/30/2015, 02:54 PM
Last Post: marraco
  [2015] 4th Zeration from base change pentation tommy1729 5 5,521 03/29/2015, 05:47 PM
Last Post: tommy1729
  Infinite Pentation (and x-srt-x) andydude 20 25,184 05/31/2011, 10:29 PM
Last Post: bo198214
  Regular "pentation"? mike3 12 19,823 04/04/2011, 03:16 AM
Last Post: BenStandeven
Smile Pentation roots self but please you do... nuninho1980 2 6,626 11/03/2010, 12:54 PM
Last Post: nuninho1980
  book: the theory of fractional powers of operators bo198214 2 5,719 06/22/2010, 07:30 PM
Last Post: Ztolk
  Pentation's definitional ambiguity Base-Acid Tetration 14 20,522 12/15/2009, 11:23 PM
Last Post: Base-Acid Tetration
  Complex fixed points of base-e tetration/tetralogarithm -> base-e pentation Base-Acid Tetration 19 29,415 10/24/2009, 04:12 AM
Last Post: andydude
  online-book: Milnor, dynamics in one complex variable bo198214 0 5,167 05/23/2009, 04:21 PM
Last Post: bo198214



Users browsing this thread: 1 Guest(s)