Thread Rating:
  • 0 Vote(s) - 0 Average
  • 1
  • 2
  • 3
  • 4
  • 5
interpolating the hyper operators
#4
I realized this is a more efficient way of talking about hyper operators. I will still talk about those sets, but I think it is a better approach to already have an analytic expression. It came to me in a stroke of luck when I was thinking about fractional derivatives.

The goal is to have for all analytic and entire. The proof of recursion then only revolves around when the output is a natural number. So we only prove for a discrete set of reals.

Reply


Messages In This Thread
interpolating the hyper operators - by JmsNxn - 05/24/2013, 10:24 PM
RE: interpolating the hyper operators - by JmsNxn - 06/07/2013, 05:00 AM
RE: interpolating the hyper operators - by MphLee - 06/07/2013, 08:29 AM
RE: interpolating the hyper operators - by JmsNxn - 06/07/2013, 09:03 PM

Possibly Related Threads...
Thread Author Replies Views Last Post
  Thoughts on hyper-operations of rational but non-integer orders? VSO 2 74 09/09/2019, 10:38 PM
Last Post: tommy1729
  Hyper-volume by integration Xorter 0 1,198 04/08/2017, 01:52 PM
Last Post: Xorter
  Hyper operators in computability theory JmsNxn 5 3,349 02/15/2017, 10:07 PM
Last Post: MphLee
  Recursive formula generating bounded hyper-operators JmsNxn 0 1,299 01/17/2017, 05:10 AM
Last Post: JmsNxn
  Rational operators (a {t} b); a,b > e solved JmsNxn 30 34,951 09/02/2016, 02:11 AM
Last Post: tommy1729
  holomorphic binary operators over naturals; generalized hyper operators JmsNxn 15 15,131 08/22/2016, 12:19 AM
Last Post: JmsNxn
  The bounded analytic semiHyper-operators JmsNxn 2 3,215 05/27/2016, 04:03 AM
Last Post: JmsNxn
  on constructing hyper operations for bases > eta JmsNxn 1 2,399 04/08/2015, 09:18 PM
Last Post: marraco
  Bounded Analytic Hyper operators JmsNxn 25 17,729 04/01/2015, 06:09 PM
Last Post: MphLee
  Incredible reduction for Hyper operators JmsNxn 0 2,087 02/13/2014, 06:20 PM
Last Post: JmsNxn



Users browsing this thread: 1 Guest(s)