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+--- Thread: iterating non-analytic (/showthread.php?tid=581)
iterating non-analytic - tommy1729 - 02/08/2011
let g(x) be coo and strictly increasing but nowhere real-analytic.
g(g(x)) = f(x) and f(x) is strictly increasing and real-analytic.
1) what are examples of such f(x) and g(x) ?
2) if f(x) = exp(x) , then what is g(x) ?
3) if f(x) = 2 sinh(x) , then what is g(x) ?
as you might expect , this relates to my sinh method ...
regards
tommy1729