partial invariant equations ?
Together with a friend (mick) i was wondering about the following.

Let g be an entire function.

Let A be a jordan curve on the riemann sphere going through the point oo.

Let g(A)=B be a similar curve that has no points in common with A. (so A is not free to choose !)

Let x be any element of A then we have

f(x) = f(g(x))

In particular for this forum ofcourse g(x) = exp(x).



Possibly Related Threads…
Thread Author Replies Views Last Post
  Arbitrary Order Transfer Equations JmsNxn 0 1,104 03/16/2021, 08:45 PM
Last Post: JmsNxn
  New Quantum Algorithms (Carleman linearization) Finally Crack Nonlinear Equations Daniel 2 2,135 01/10/2021, 12:33 AM
Last Post: marraco
  Moving between Abel's and Schroeder's Functional Equations Daniel 1 3,859 01/16/2020, 10:08 PM
Last Post: sheldonison
  Taylor polynomial. System of equations for the coefficients. marraco 17 32,845 08/23/2016, 11:25 AM
Last Post: Gottfried
  Totient equations tommy1729 0 3,731 05/08/2015, 11:20 PM
Last Post: tommy1729
  Bundle equations for bases > 2 tommy1729 0 3,860 04/18/2015, 12:24 PM
Last Post: tommy1729
  A system of functional equations for slog(x) ? tommy1729 3 9,194 07/28/2014, 09:16 PM
Last Post: tommy1729
  tetration base conversion, and sexp/slog limit equations sheldonison 44 103,908 02/27/2013, 07:05 PM
Last Post: sheldonison
  Superfunctions in continu sum equations tommy1729 0 4,109 01/03/2013, 12:02 AM
Last Post: tommy1729
  Equations for Kneser sexp algorithm sheldonison 18 49,087 06/21/2011, 01:48 AM
Last Post: sheldonison

Users browsing this thread: 1 Guest(s)