1. Center of Complex Systems and Visualization
  2. Lehre
  3. Oberseminar

In dem regelmäßig stattfindenden Oberseminar tragen Gäste aus aller Welt über Forschungsarbeiten zu Themen vor, die mit der Arbeit von CeVis und MeVis in Verbindung stehen, und Mitarbeiter von CeVis und MeVis präsentieren ihre neusten Ergebnisse.

C(M)eVis-Oberseminar am 3.5.2000

Datum: Mittwoch, der 3.5.2000
Zeit: 11.00 Uhr s.t.
Ort: Seminarraum Mandelbrot
Referent: Prof. Dr. Jean-Paul Allouche (CNRS, LRI, Orsay)
Some remarks on holonomic formal power series

A formal power series F(X) with coefficients in a field K of characteristic 0 is called holonomic (or differentiably finite, or ``D-finite'') if the vector space generated by the series and its derivatives over K(X) has finite dimension. These series are used in combinatorics: if a generating function is holonomic, this means essentially that there is a (possibly hidden) structure in the objects described by this generating function.

We survey general properties of holonomic formal power series, and we describe our attempts to study this notion in positive characteristic.

A. Rodenhausen, 17.4.2000