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arXiv · 2404.10143

Computing with Hypergeometric-Type Terms

Bertrand Teguia Tabuguia
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Abstract

Take a multiplicative monoid of sequences in which the multiplication is given by Hadamard product. The set of linear combinations of interleaving monoid elements then yields a ring. For hypergeometric sequences, the resulting ring is a subring of the ring of holonomic sequences. We present two algorithms in this setting: one for computing holonomic recurrence equations from hypergeometric-type normal forms and the other for finding products of hypergeometric-type terms. These are newly implemented commands in our Maple package $HyperTypeSeq$, available at \url{https://github.com/T3gu1a/HyperTypeSeq}, which we also describe.

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Bertrand Teguia Tabuguia. 2024-04-15. Computing with Hypergeometric-Type Terms. https://arxiv.org/abs/2404.10143

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