2nd RE: Functional decomposition (solving f[f[x]] = g[x] for given g)

*To*: mathgroup at smc.vnet.net*Subject*: [mg71819] 2nd RE: [mg71764] Functional decomposition (solving f[f[x]] = g[x] for given g)*From*: "Ingolf Dahl" <ingolf.dahl at telia.com>*Date*: Thu, 30 Nov 2006 06:05:14 -0500 (EST)*Reply-to*: <ingolf.dahl at telia.com>

Addendum to answer: Hi again, Now the "Inverse Symbolic Calculator" at http://oldweb.cecm.sfu.ca/projects/ISC/ISCmain.html is up and working, Extract from search for f(0) = 0.6420945043908285: "6420944524139337 = (0261) 1+2*x+4*x^2+3*x^3-4*x^4-x^5 6420944718605426 = (0191) Prod(1-(3*n^3-8*n^2+3*n+10)/2^n,n=1..inf) Your value of 6420945043908285 would be here. 6420945157426995 = (0001) Lehmer*(BesJ(1,1)+Cahen) 6420945315416897 = (0001) (GAM(5/6)-GaussK)/GAM(17/24)" Best regards Ingolf Dahl