Tetration Forum › Tetration and Related Topics › Mathematical and General Discussion v
Uniqueness summary and idea

Linear Mode
Uniqueness summary and idea
Gottfried Offline
Ultimate Fellow
*****
Posts: 904
Threads: 131
Joined: Aug 2007
#4
08/16/2007, 10:37 AM
bo198214 Wrote:These are two methods.
1. Practical mathematicians have developed a quite interesting theory how we can despite successfully use non-converging power series. However I am not familiar with theory, but the main point is that most non-converging series have a certain index k at which they are quite near the actual value of the function. If one can determine this k, one has an ultrafast approximation for the function.
Hope, I've the right focus: in chap 14 of his monography on divergent series, Konrad Knopp describes this problem (p 537 ff)
http://dz-srv1.sub.uni-goettingen.de/sub...id=D264077

It is in german language, though ...

Gottfried
Gottfried Helms, Kassel
Website Find
Reply


Messages In This Thread
Uniqueness summary and idea - by bo198214 - 08/14/2007, 09:59 AM
RE: Uniqueness summary and idea - by andydude - 08/16/2007, 05:24 AM
RE: Uniqueness summary and idea - by bo198214 - 08/16/2007, 07:42 AM
RE: Uniqueness summary and idea - by Gottfried - 08/16/2007, 10:37 AM
RE: Uniqueness summary and idea - by bo198214 - 08/16/2007, 11:08 AM
RE: Uniqueness summary and idea - by jaydfox - 08/16/2007, 06:15 PM
RE: Uniqueness summary and idea - by bo198214 - 08/16/2007, 06:49 PM
RE: Uniqueness summary and idea - by jaydfox - 08/16/2007, 06:58 PM
RE: Uniqueness summary and idea - by bo198214 - 08/16/2007, 07:02 PM
RE: Uniqueness summary and idea - by jaydfox - 08/16/2007, 09:06 PM
RE: Uniqueness summary and idea - by bo198214 - 08/16/2007, 09:29 PM
RE: Uniqueness summary and idea - by jaydfox - 08/16/2007, 10:03 PM
RE: Uniqueness summary and idea - by bo198214 - 08/16/2007, 10:13 PM
RE: Uniqueness summary and idea - by jaydfox - 08/16/2007, 10:30 PM

Possibly Related Threads…
Thread Author Replies Views Last Post
  Uniqueness of fractionally iterated functions Daniel 7 11,184 07/05/2022, 01:21 AM
Last Post: JmsNxn
  Reviving an old idea with 2sinh. tommy1729 7 10,180 06/28/2022, 02:14 PM
Last Post: tommy1729
  Universal uniqueness criterion? bo198214 57 174,943 06/28/2022, 12:00 AM
Last Post: JmsNxn
  tommy's new conjecture/theorem/idea (2022) ?? tommy1729 0 2,914 06/22/2022, 11:49 PM
Last Post: tommy1729
  A question concerning uniqueness JmsNxn 4 17,039 06/10/2022, 08:45 AM
Last Post: Catullus
  Revitalizing an old idea : estimated fake sexp'(x) = F3(x) tommy1729 0 3,066 02/27/2022, 10:17 PM
Last Post: tommy1729
  [Exercise] A deal of Uniqueness-critrion:Gamma-functionas iteration Gottfried 6 15,783 03/19/2021, 01:25 PM
Last Post: tommy1729
  An intuitive idea log*^[n](F(exp*^[n](z0))) tommy1729 0 3,085 03/03/2021, 12:57 AM
Last Post: tommy1729
  A conjectured uniqueness criteria for analytic tetration Vladimir Reshetnikov 13 40,647 02/17/2017, 05:21 AM
Last Post: JmsNxn
  Uniqueness of half-iterate of exp(x) ? tommy1729 14 53,409 01/09/2017, 02:41 AM
Last Post: Gottfried



Users browsing this thread: 2 Guest(s)