On a matrix representation for polynomially recursive sequences
type: Item
instance of: scholarly article
title: On a matrix representation for polynomially recursive sequences
zbMATH Open document ID: 1298.05039
author: Christophe Reutenauer
published in: The Electronic Journal of Combinatorics
publication date: 2012-10-24T00:00:00Z
full work available at URL: v19i3p36
review text: 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.
Mathematics Subject Classification ID: 05A19
Mathematics Subject Classification ID: 05A15
Mathematics Subject Classification ID: 12H10
Mathematics Subject Classification ID: 33D15
Mathematics Subject Classification ID: 39A70
zbMATH DE Number: 6098378
zbMATH Keywords: P-recursive
zbMATH Keywords: matrix representation
zbMATH Keywords: Galois theory
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 6098378