Advanced Search

Question: Strange result for the evaluation of a sum

Question:Strange result for the evaluation of a sum

w-Teilchen 80 Maple 18
polynomial sum eval
June 01 2016
0

Hello guys,

I was just playing around with the Shanks transformation of a power series, when I noticed that polynomials aren't evaluated as I would expect.
I created this minimal working example; the function s should evaluate for z=0 to a[0], however it return simply 0.
Is there something I messed up?

> 

restart
> 

s := proc (n, z) options operator, arrow; sum(a[k]*z^k, k = 0 .. n) end proc;

proc (n, z) options operator, arrow; sum(a[k]*z^k, k = 0 .. n) end proc

 (1)
> 

series(s(n, z), z = 0)

series(a[0]+a[1]*z+a[2]*z^2+a[3]*z^3+a[4]*z^4+a[5]*z^5+O(z^6),z,6)

 (2)

The value of s in z=0 should be a[0], however it returns 0:

> 

s(n, 0)

0

 (3)
> 

s(1, 0)

0

 (4)

Download evaluate_sum.mw

 

Thanks for your help,

Sören
Please Wait...