Tetration Forum › Tetration and Related Topics › Mathematical and General Discussion v
Rational operators (a {t} b); a,b > e solved

Thread Rating:
  • 0 Vote(s) - 0 Average
  • 1
  • 2
  • 3
  • 4
  • 5
Thread Modes
Rational operators (a {t} b); a,b > e solved
Xorter Offline
Fellow
***
Posts: 90
Threads: 29
Joined: Aug 2016
#26
08/24/2016, 07:24 PM
(08/22/2016, 12:36 AM)JmsNxn Wrote:
(08/21/2016, 06:56 PM)Xorter Wrote: Hello, James! Hello, Everyone!
I am really interested in that how you could make that beautiful graph. Could you tell me, please?
Thank you very much.

Search for the cheta function on the forum and get its power series.
Take


define





continuous solution which is analytic for t < 1 and t >1 with a singularity at t=1

oddly enough

is analytic everywhere.

Thank you for the answer!
Could you show me an example, too, please?
E. g. How can I evaluate 3[0.5]3 or 3[1.5]3?
Xorter Unizo
Website Find
Reply


Messages In This Thread
RE: Rational operators (a {t} b); a,b > e solved - by Xorter - 08/24/2016, 07:24 PM

Possibly Related Threads...
Thread Author Replies Views Last Post
  Thoughts on hyper-operations of rational but non-integer orders? VSO 2 794 09/09/2019, 10:38 PM
Last Post: tommy1729
  Hyper operators in computability theory JmsNxn 5 4,454 02/15/2017, 10:07 PM
Last Post: MphLee
  Recursive formula generating bounded hyper-operators JmsNxn 0 1,632 01/17/2017, 05:10 AM
Last Post: JmsNxn
  holomorphic binary operators over naturals; generalized hyper operators JmsNxn 15 17,400 08/22/2016, 12:19 AM
Last Post: JmsNxn
  The bounded analytic semiHyper-operators JmsNxn 2 3,837 05/27/2016, 04:03 AM
Last Post: JmsNxn
  Bounded Analytic Hyper operators JmsNxn 25 21,518 04/01/2015, 06:09 PM
Last Post: MphLee
  Incredible reduction for Hyper operators JmsNxn 0 2,384 02/13/2014, 06:20 PM
Last Post: JmsNxn
  interpolating the hyper operators JmsNxn 3 5,364 06/07/2013, 09:03 PM
Last Post: JmsNxn
  Number theory and hyper operators JmsNxn 7 8,184 05/29/2013, 09:24 PM
Last Post: MphLee
  Number theoretic formula for hyper operators (-oo, 2] at prime numbers JmsNxn 2 4,208 07/17/2012, 02:12 AM
Last Post: JmsNxn



Users browsing this thread: 1 Guest(s)