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Computer Science > Symbolic Computation
Title: Computing with Hypergeometric-Type Terms
(Submitted on 15 Apr 2024)
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. We consider such a construction for the monoid of hypergeometric sequences, yielding what we call the ring of hypergeometric-type sequences -- 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 $\texttt{HyperTypeSeq}$, which we also describe.
Submission history
From: Bertrand Teguia Tabuguia [view email][v1] Mon, 15 Apr 2024 21:24:18 GMT (51kb)
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