SumTools[Hypergeometric][IndefiniteSum] - calculate indefinite sum
|
Calling Sequence
|
|
IndefiniteSum(T, n)
|
|
Parameters
|
|
T
|
-
|
function of n
|
n
|
-
|
variable
|
|
|
|
|
Description
|
|
•
|
The IndefiniteSum(T,n) command computes a function G such that if it exists.
|
•
|
The classes of functions T supported are rational functions, hypergeometric terms, and those for which the minimal annihilator in for T can be computed.
|
|
|
Examples
|
|
>
|
|
>
|
|
| (1) |
>
|
|
| (2) |
>
|
|
| (3) |
>
|
|
| (4) |
>
|
|
| (5) |
>
|
|
| (6) |
|
|
References
|
|
|
Abramov, S.A. "Indefinite sums of rational functions." Proc. ISSAC'95, pp. 303-308. 1995.
|
|
Abramov, S.A., and van Hoeij, M. "Integration of solutions of linear functional equations." Integral Transformations and Special Functions, Vol. 8 No. 1-2, (1999): 3-12.
|
|
Gosper, R.W., Jr. "Decision procedure for indefinite hypergeometric summation." Proc. Natl. Acad. Sci. USA, Vol. 75, (1977): 40-42.
|
|
|
Download Help Document
Was this information helpful?