Article ID Journal Published Year Pages File Type
6423438 Discrete Mathematics 2012 8 Pages PDF
Abstract

Bousquet-Mélou and PetkovÅ¡ek investigated the generating functions of multivariate linear recurrences with constant coefficients. We will give a reinterpretation of their results by means of division theorems for formal power series, which clarifies the structural background and provides short, conceptual proofs. In addition, extending the division to the context of differential operators, the case of recurrences with polynomial coefficients can be treated in an analogous way.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
Authors
, ,