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arXiv · 2210.13520

Gosper's algorithm and Bell numbers

Robert Dougherty-Bliss
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Abstract

Computers are good at evaluating finite sums in closed form, but there are finite sums which do not have closed forms. Summands which do not produce a closed form can often be ``fixed'' by multiplying them by a suitable polynomial. We provide an explicit description of a class of such polynomials for simple hypergeometric summands in terms of the Bell numbers.

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Robert Dougherty-Bliss. 2022-10-24. Gosper's algorithm and Bell numbers. https://arxiv.org/abs/2210.13520

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