• 0 Vote(s) - 0 Average
• 1
• 2
• 3
• 4
• 5
 interpolating the hyper operators JmsNxn Long Time Fellow Posts: 291 Threads: 67 Joined: Dec 2010 06/07/2013, 09:03 PM I realized this is a more efficient way of talking about hyper operators. I will still talk about those $I$ 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 $f(s) = \frac{1}{x[s]y}$ for all $x,y \in \mathbb{N}$ 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. « Next Oldest | Next Newest »

 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 1,895 09/09/2019, 10:38 PM Last Post: tommy1729 Hyper-volume by integration Xorter 0 2,045 04/08/2017, 01:52 PM Last Post: Xorter Hyper operators in computability theory JmsNxn 5 6,314 02/15/2017, 10:07 PM Last Post: MphLee Recursive formula generating bounded hyper-operators JmsNxn 0 2,235 01/17/2017, 05:10 AM Last Post: JmsNxn Rational operators (a {t} b); a,b > e solved JmsNxn 30 51,238 09/02/2016, 02:11 AM Last Post: tommy1729 holomorphic binary operators over naturals; generalized hyper operators JmsNxn 15 21,229 08/22/2016, 12:19 AM Last Post: JmsNxn The bounded analytic semiHyper-operators JmsNxn 2 4,852 05/27/2016, 04:03 AM Last Post: JmsNxn on constructing hyper operations for bases > eta JmsNxn 1 3,742 04/08/2015, 09:18 PM Last Post: marraco Bounded Analytic Hyper operators JmsNxn 25 27,884 04/01/2015, 06:09 PM Last Post: MphLee Incredible reduction for Hyper operators JmsNxn 0 2,906 02/13/2014, 06:20 PM Last Post: JmsNxn

Users browsing this thread: 1 Guest(s)