Thread Rating:
  • 0 Vote(s) - 0 Average
  • 1
  • 2
  • 3
  • 4
  • 5
Powerful way to perform continuum sum
#4
Thanks for your quick reply.

Intresting idea.

Although I must say that - if I recall correct - the continuum sum does not imply uniqueness for tetration.
Then again you might not be after uniqueness but just a nice solution.

This is probably one of your best posts imho.
Although I havent checked all. It seems a bit weird , your integrals seem to lack a variable by being very selfreferential. This might not be a problem but it might be restrictive ... such as L-series or exponential sums ... maybe it can be solved by adding variables.

A problem might be that the n-th derivative is not just the formula of the nth integral with a minus sign added. I assume you knew that already from reading/lectures/exercises about fractional calculus.

Im curious about what others think of it.

regards

tommy1729
Reply


Messages In This Thread
Powerful way to perform continuum sum - by JmsNxn - 08/10/2013, 09:06 PM
RE: Powerful way to perform continuum sum - by tommy1729 - 08/11/2013, 07:31 PM

Possibly Related Threads...
Thread Author Replies Views Last Post
  2015 Continuum sum conjecture tommy1729 3 3,478 05/26/2015, 12:24 PM
Last Post: tommy1729
  Another way to continuum sum! JmsNxn 6 6,613 06/06/2014, 05:09 PM
Last Post: MphLee
  Continuum sum = Continuum product tommy1729 1 2,704 08/22/2013, 04:01 PM
Last Post: JmsNxn
  applying continuum sum to interpolate any sequence. JmsNxn 1 2,934 08/18/2013, 08:55 PM
Last Post: tommy1729
  sexp by continuum product ? tommy1729 6 8,825 06/30/2011, 10:07 PM
Last Post: tommy1729
  continuum sum again tommy1729 0 2,315 02/10/2011, 01:25 PM
Last Post: tommy1729
  Continuum sums -- a big problem and some interesting observations mike3 17 20,040 10/12/2010, 10:41 AM
Last Post: Ansus
  Continuum sum - a new hope kobi_78 10 13,325 06/13/2010, 11:23 PM
Last Post: sheldonison
  New tetration method based on continuum sum and exp-series mike3 16 21,657 05/02/2010, 09:58 AM
Last Post: andydude
  Borel summation and other continuation/summability methods for continuum sums mike3 2 5,235 12/30/2009, 09:51 PM
Last Post: mike3



Users browsing this thread: 1 Guest(s)