Thread Rating:
  • 0 Vote(s) - 0 Average
  • 1
  • 2
  • 3
  • 4
  • 5
Superlog with exact coefficients
andydude Wrote:This means that which relates back to the super-logarithm as follows:

Hmm, at least it looks somehow similar to the "regular"-formula.
If I replace a by u, and introduce t for exp(u) so that


and factorize the denominators differently, for instance

to get a more familiar looking formula for me, this is then, using "rsdxplog" as rslog for the dxp-function:

where especially the denominators-products are the same as in my Ut-formulae, and also the numerators look very familiar. I'll see, whether we have the same coefficients later today.

I had the rsdxplog as logarithm of the Schroeder-function, assuming x' as h'th (continuous) iteration of

where I got the coefficients of the sigma-function by the eigenmatrices of Ut - and the structure of these coefficients look very similar to yours above

Gottfried Helms, Kassel

Messages In This Thread
Superlog with exact coefficients - by andydude - 06/11/2008, 05:46 AM
RE: Superlog with exact coefficients - by Gottfried - 06/11/2008, 07:18 AM

Possibly Related Threads...
Thread Author Replies Views Last Post
  Taylor polynomial. System of equations for the coefficients. marraco 17 18,186 08/23/2016, 11:25 AM
Last Post: Gottfried
  Can we prove these coefficients must be constant? JmsNxn 0 2,006 06/03/2012, 09:17 PM
Last Post: JmsNxn
  Coefficients of Tetrational Function mike3 3 7,036 04/28/2010, 09:11 PM
Last Post: andydude
  Branch points of superlog mike3 0 2,449 02/03/2010, 11:00 PM
Last Post: mike3
  Superlog determinant factored! andydude 3 4,991 11/10/2009, 12:44 AM
Last Post: andydude
  Exact and Unique solution for base e^(1/e) jaydfox 22 25,620 08/03/2009, 03:24 PM
Last Post: bo198214

Users browsing this thread: 1 Guest(s)