On a matrix representation for polynomially recursive sequences (Q456374)
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scientific article; zbMATH DE number 6098378
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a matrix representation for polynomially recursive sequences |
scientific article; zbMATH DE number 6098378 |
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On a matrix representation for polynomially recursive sequences (English)
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24 October 2012
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Summary: In this article we derive several consequences of a matricial characterization of P-recursive sequences. This characterization leads to canonical representations of these sequences. We show their uniqueness for a given sequence, up to similarity. We study their properties: operations, closed forms, d'Alembertian sequences, field extensions, positivity, extension of the sequence to \(\mathbb Z\), difference Galois group.
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P-recursive
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matrix representation
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Galois theory
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