• 0 Vote(s) - 0 Average
• 1
• 2
• 3
• 4
• 5
 interpolating the hyper operators JmsNxn Long Time Fellow Posts: 479 Threads: 86 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 On my old fractional calculus approach to hyper-operations JmsNxn 14 910 07/07/2021, 07:35 AM Last Post: JmsNxn hyper 0 dantheman163 2 4,764 03/09/2021, 10:28 PM Last Post: MphLee On to C^\infty--and attempts at C^\infty hyper-operations JmsNxn 11 2,240 03/02/2021, 09:55 PM Last Post: JmsNxn Thoughts on hyper-operations of rational but non-integer orders? VSO 2 3,161 09/09/2019, 10:38 PM Last Post: tommy1729 Hyper-volume by integration Xorter 0 2,707 04/08/2017, 01:52 PM Last Post: Xorter Hyper operators in computability theory JmsNxn 5 8,544 02/15/2017, 10:07 PM Last Post: MphLee Recursive formula generating bounded hyper-operators JmsNxn 0 2,928 01/17/2017, 05:10 AM Last Post: JmsNxn Rational operators (a {t} b); a,b > e solved JmsNxn 30 62,764 09/02/2016, 02:11 AM Last Post: tommy1729 holomorphic binary operators over naturals; generalized hyper operators JmsNxn 15 26,090 08/22/2016, 12:19 AM Last Post: JmsNxn The bounded analytic semiHyper-operators JmsNxn 2 6,224 05/27/2016, 04:03 AM Last Post: JmsNxn

Users browsing this thread: 1 Guest(s)