Thread Rating:
  • 0 Vote(s) - 0 Average
  • 1
  • 2
  • 3
  • 4
  • 5
Infinite products
#1
I just remembered a method I tried like 5 years ago, but haven't visited in a while.

Now that we have better power series expansions of tetration, for example, at we have
and using the definition, we can rewrite this as
where

I wonder if this simplifies the coefficients or just makes things more complicated?

Andrew Robbins
Reply
#2
andydude Wrote:I just remembered a method I tried like 5 years ago, but haven't visited in a while.

Now that we have better power series expansions of tetration, for example, at we have
and using the definition, we can rewrite this as
where

I wonder if this simplifies the coefficients or just makes things more complicated?

Andrew Robbins

that could have been my own post Smile

i wondered about it too.
Reply
#3
andydude Wrote:
where

I wonder if this simplifies the coefficients or just makes things more complicated?

To calculate the coefficients you either need on both sides a product or on both sides a sum. So I dont see how the product representation can be useful.
Reply


Possibly Related Threads...
Thread Author Replies Views Last Post
  [repost] A nowhere analytic infinite sum for tetration. tommy1729 0 1,019 03/20/2018, 12:16 AM
Last Post: tommy1729
  [MO] Is there a tetration for infinite cardinalities? (Question in MO) Gottfried 10 11,273 12/28/2014, 10:22 PM
Last Post: MphLee
  Remark on Gottfried's "problem with an infinite product" power tower variation tommy1729 4 4,889 05/06/2014, 09:47 PM
Last Post: tommy1729
  A sum of products ? tommy1729 0 1,322 08/11/2013, 08:19 PM
Last Post: tommy1729
  Problem with infinite product of a function: exp(x) = x * f(x)*f(f(x))*... Gottfried 5 6,524 07/17/2013, 09:46 AM
Last Post: Gottfried
  Wonderful new form of infinite series; easy solve tetration JmsNxn 1 4,211 09/06/2012, 02:01 AM
Last Post: JmsNxn
  the infinite operator, is there any research into this? JmsNxn 2 5,265 07/15/2011, 02:23 AM
Last Post: JmsNxn
  Infinite tetration of the imaginary unit GFR 40 51,890 06/26/2011, 08:06 AM
Last Post: bo198214
  Infinite Pentation (and x-srt-x) andydude 20 24,822 05/31/2011, 10:29 PM
Last Post: bo198214
  Infinite tetration fractal pictures bo198214 15 22,055 07/02/2010, 07:22 AM
Last Post: bo198214



Users browsing this thread: 1 Guest(s)