Tetration Forum › Tetration and Related Topics › Mathematical and General Discussion v
A system of functional equations for slog(x) ?

Linear Mode
A system of functional equations for slog(x) ?
jaydfox Offline
Long Time Fellow
****
Posts: 440
Threads: 31
Joined: Aug 2007
#3
07/28/2014, 05:06 PM
Remind me why the functional equation for superexponentiation (or the superlogarithm) isn't adequate? I seem to recall that there was an issue with apparent inconsistencies?

sexp(x+1) = exp(sexp(x))
slog(exp(x)) = slog(x)+1

Was it just an issue with branches? If so, is that really a problem?
~ Jay Daniel Fox
Find
Reply


Messages In This Thread
RE: A system of functional equations for slog(x) ? - by jaydfox - 07/28/2014, 05:06 PM

Possibly Related Threads…
Thread Author Replies Views Last Post
  [Question] Classifying dynamical system by connected components MphLee 6 7,988 10/22/2025, 11:53 AM
Last Post: MphLee
  double functional equation , continuum sum and analytic continuation tommy1729 6 9,714 03/05/2023, 12:36 AM
Last Post: tommy1729
Question E^^.5 and Slog(e,.5) Catullus 7 11,138 07/22/2022, 02:20 AM
Last Post: MphLee
Question Slog(Exponential Factorial(x)) Catullus 19 23,747 07/13/2022, 02:38 AM
Last Post: Catullus
  Functional power Xorter 3 9,223 07/11/2022, 06:03 AM
Last Post: Catullus
Question Slog(x^^^2) Catullus 1 3,276 07/10/2022, 04:40 AM
Last Post: JmsNxn
Question Functional Square Root Catullus 24 28,610 07/01/2022, 09:17 PM
Last Post: tommy1729
Question Slog(e4) Catullus 0 2,597 06/16/2022, 03:27 AM
Last Post: Catullus
  Modding out functional relationships; An introduction to congruent integration. JmsNxn 3 6,625 06/23/2021, 07:07 AM
Last Post: JmsNxn
  [MSE] Help on a special kind of functional equation. MphLee 4 8,297 06/14/2021, 09:52 PM
Last Post: JmsNxn



Users browsing this thread: 1 Guest(s)