Re: " Wanted : do f(x) = x - sin(x) and g(x) commute ? "



In article <1125900961.133497.57370@xxxxxxxxxxxxxxxxxxxxxxxxxxxx>,
<alainverghote@xxxxxxxx> wrote:

> function g being so defined:
> g(x)= x + 2*sum(Jn/n*sin(x),n = 1..infinity ),
> Jn is the first kind Bessel function of order n.
> If g(f(x)) = f(g(x))
> to which commutative case belongs (g,f) ?

??? Not even close, numerically. Not even when I use sin(nx) instead
of sin(x), figuring a typo.

--Ron Bruck
.