Problem with infinite product of a function: exp(x) = x * f(x)*f(f(x))*...
#2
Hi Mr. Helms,

If we consider the solution to the infinite product exp(x) = M * x * f(x) * f^[2](x) *..., it has the same solution as the one we get for M = 1 because of the fraction appears in your calculation which makes M/M = 1. So, it's likely that a factor appears but it seems your calculation doesn't counts it. It seems more like the constant of integration but except that it isn't integration - not very useful, but just my 2 cents.

Balarka
.
Reply


Messages In This Thread
RE: Problem with infinite product of a function: exp(x) = x * f(x)*f(f(x))*... - by Balarka Sen - 03/12/2013, 10:01 AM

Possibly Related Threads…
Thread Author Replies Views Last Post
  extending normal tetration to real numbers using product tetration Alex Zuma 2025 0 1,156 12/12/2025, 07:49 PM
Last Post: Alex Zuma 2025
  product tetration Alex Zuma 2025 0 1,368 09/24/2025, 12:47 PM
Last Post: Alex Zuma 2025
  self penta root and infinite hexation Alex Zuma 2025 0 4,436 08/30/2025, 10:07 PM
Last Post: Alex Zuma 2025
  Is there any ways to compute iterations of a oscillating function ? Shanghai46 3 8,169 10/15/2023, 11:21 PM
Last Post: tommy1729
  Anyone have any ideas on how to generate this function? JmsNxn 3 5,353 05/21/2023, 03:30 PM
Last Post: Ember Edison
  [MSE] Mick's function Caleb 1 4,043 03/08/2023, 02:33 AM
Last Post: Caleb
  [special] binary partition zeta function tommy1729 1 4,108 02/27/2023, 01:23 PM
Last Post: tommy1729
  [NT] Extending a Jacobi function using Riemann Surfaces JmsNxn 2 5,120 02/26/2023, 08:22 PM
Last Post: tommy1729
  another infinite composition gaussian method clone tommy1729 2 5,297 01/24/2023, 12:53 AM
Last Post: tommy1729
  toy zeta function tommy1729 0 2,921 01/20/2023, 11:02 PM
Last Post: tommy1729



Users browsing this thread: 1 Guest(s)