A Fast Approach to Creative Telescoping

Details A Fast Approach to Creative Telescoping A Fast Approach to Creative Telescoping

2010-04-19

arxiv.org/abs/1004.3314v2

Mathematics in Computer Science 4(2-3), pp. 259-266, 2010

Computer Science

Symbolic Computation

9 pages, 1 table, final version as it appeared in the journal

Scientific paper

10.1007/s11786-010-0055-0

In this note we reinvestigate the task of computing creative telescoping relations in differential-difference operator algebras. Our approach is based on an ansatz that explicitly includes the denominators of the delta parts. We contribute several ideas of how to make an implementation of this approach reasonably fast and provide such an implementation. A selection of examples shows that it can be superior to existing methods by a large factor.

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