On a matrix representation for polynomially recursive sequences
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.
scientific article; zbMATH DE number 6098378