Christoph Koutschan, Herwig Hauser,
"Linear Recurrences and Power Series Division"
, Serie SFB F013 Reports, Nummer 2007-20, SFB F013, University of Linz, Altenbergerstraße 69, 4040 Linz, Austria, 2007
Original Titel:
Linear Recurrences and Power Series Division
Sprache des Titels:
Englisch
Original Kurzfassung:
Bousquet-Melou and Petkovsek investigated the generating functions of multivariate linear recurrences with constant coefficients. We will give a reinterpretation of their theory 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.
Sprache der Kurzfassung:
Englisch
Veröffentlicher:
SFB F013
Verlagsanschrift:
University of Linz, Altenbergerstraße 69, 4040 Linz, Austria