Generalised Iterative Roots
by
Alastair McNaughton
University of Auckland

A solution will be presented to the problem:
find f such that f o f(x) = sin(x).
The solution will be generalised to include certain problems of the type:
given g find f such that f o f(x) = g(x).

Further generalisations will extend to problems such as
given g find f such that f o f o f(x) = g(x) and

given g find f such that f o f o f(x) = g o g(x).

Date received: October 10, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caek-56.