Thread Rating:
  • 0 Vote(s) - 0 Average
  • 1
  • 2
  • 3
  • 4
  • 5
Dmitrii Kouznetsov's Tetration Extension
bo198214 Wrote:Dmitrii, I am currently programming your tetration extension.
I just want to mention some misprints, that shouldnt go into your published paper.
In formulas (3.2), (3.3), (3.4), (3.6), (4.4) you always omit the minus sign in front of the 1 below the log. Only in the computation formula 4.2 the minus sign is at the right place.
Bo, I am glad to read from you!
Do you mean paper at ?
There is no log in formula (3.2), is there?
Now I have doubts about (3.3); I remember I had to play with phases manually combinig the logarithms; both Mathematica and Maple failed to do it as I wanted.
Can you reproduce Figure 2? Could you show it?

bo198214 Wrote:There may be also some simplifications (avoidance of doublification with and ) if you would put into your assumption, which is quite reasonable and which you are also using in (4.7).
Yes, I assume , but it follows from the analyticity and the assumption that is real at z>-2.

bo198214 Wrote:In formula (3.4),(4.4) either the in should be omitted, or it should be appended whenever you use
Yes, your are right. K is always A-dependent. Better to trash this subscript.
Thank you for your comment.
I had corrected few misprints in the update
but not yet those you indicate; perhaps, I sould trace it again.

Messages In This Thread
RE: Dmitrii Kouznetsov's Tetration Extension - by Kouznetsov - 05/18/2008, 05:31 AM

Possibly Related Threads...
Thread Author Replies Views Last Post
  Ueda - Extension of tetration to real and complex heights MphLee 2 375 12/03/2021, 01:23 AM
Last Post: JmsNxn
  On extension to "other" iteration roots Leo.W 7 1,206 09/29/2021, 04:12 PM
Last Post: Leo.W
  Possible continuous extension of tetration to the reals Dasedes 0 2,861 10/10/2016, 04:57 AM
Last Post: Dasedes
  Andrew Robbins' Tetration Extension bo198214 32 71,901 08/22/2016, 04:19 PM
Last Post: Gottfried
  Kouznetsov-Tommy-Cauchy method tommy1729 0 3,634 02/18/2015, 07:05 PM
Last Post: tommy1729
  Non-trivial extension of max(n,1)-1 to the reals and its iteration. MphLee 3 7,169 05/17/2014, 07:10 PM
Last Post: MphLee
  extension of the Ackermann function to operators less than addition JmsNxn 2 6,887 11/06/2011, 08:06 PM
Last Post: JmsNxn
  about kouznetsov again tommy1729 1 5,289 08/13/2010, 05:41 AM
Last Post: BenStandeven
  plz explain kouznetsov slowly tommy1729 7 13,678 07/27/2010, 04:57 AM
Last Post: bo198214
  Tetration Extension to Real Heights chobe 3 9,997 05/15/2010, 01:39 AM
Last Post: bo198214

Users browsing this thread: 1 Guest(s)