Thread Rating:
  • 0 Vote(s) - 0 Average
  • 1
  • 2
  • 3
  • 4
  • 5
Superroots and a generalization for the Lambert-W
I agree that it is a long-researched problem; trying to find a closed form for super-roots, or anything for that matter.

Using a combination of known facts from the Tetration Ref I collected, I was able to find a simpler expression for the logarithmic power series expansion of than I remember from before. I think the ideal solution would be to find a recurrence equation similar to the one we know for n-th tetrates. I've attached a short discussion of the things we know that might help in finding a closed form.

Attached Files
.pdf   2015-11_SuperRoot3.pdf (Size: 123.09 KB / Downloads: 231)

Messages In This Thread
RE: Superroots and a generalization for the Lambert-W - by andydude - 11/21/2015, 05:05 AM

Possibly Related Threads...
Thread Author Replies Views Last Post
  Superroots (formal powerseries) Gottfried 10 14,503 04/05/2011, 03:22 AM
Last Post: Stan
  Infinite towers & solutions to Lambert W-function brangelito 1 4,093 06/16/2010, 02:50 PM
Last Post: bo198214
  Lambert W function and the Super Square Root James Knight 3 9,547 10/29/2009, 06:30 AM
Last Post: andydude
  the extent of generalization Matt D 11 13,022 10/15/2007, 04:52 PM
Last Post: Matt D

Users browsing this thread: 1 Guest(s)