ASKSAGE: Sage Q&A Forum - Latest question feedhttp://ask.sagemath.org/questions/Q&A Forum for SageenCopyright Sage, 2010. Some rights reserved under creative commons license.Sat, 02 Dec 2017 04:16:35 -0600can series make mistakes?http://ask.sagemath.org/question/39909/can-series-make-mistakes/ series seems to make errors . luckily, taylor works correctly.
start with L_F=(exp(-s)-1+s)/(s^2/2) (laplace transform of the "equilibrium" uniform density)
and switch to Pollaczek laplace transform L_F /(1- epsilon * L_F);
You can check that the moments expansions t, t1 differ
var('s');n=2
L_F=(exp(-s)-1+s)/(s^2/2) #satisfies L_F(s=0)=1
L_L=L_F/(1-L_F/3)
t = L_L.series(s,2*n+2)
t1= taylor(L_L,s,0,2*n+2)
print t1florinSat, 02 Dec 2017 04:16:35 -0600http://ask.sagemath.org/question/39909/