SumTools[IndefiniteSum]
AccurateSummation
compute closed forms of indefinite sums using accurate summation
Calling Sequence
Parameters
Description
Examples
References
AccurateSummation(T, n)
T
-
function of n
n
name; specifies summation index
The AccurateSummation(T, n) command solves the problem of indefinite summation using accurate summation.
The output from AccurateSummation is a function such that if the algorithm succeeds in constructing one. Otherwise, it returns FAIL.
Note that since T is not a hypergeometric term of n, Gosper's algorithm fails to compute an anti-difference:
Abramov, S.A. and van Hoeij, M. "Integration of Solutions of Linear Functional Equations." Integral Transformations and Special Functions, (1999): 3-12. Vol. 8. No. 1-2.
See Also
SumTools[IndefiniteSum][Indefinite]
Download Help Document