Bonjour,
ce mardi 04 juin 2019 à 14h00 en B107, Antonio Jimenez Pastor nous parlera
de : A Computable Extension for Holonomic Functions: DD-Finite Functions
Résumé : D-finite functions is a well known class of functions. They are
defined via a linear differential equation with polynomial coefficients and
we can find many examples in elementary functions (exp(x), sin(x)),
combinatorial generating functions (all P-recursive sequence have a D-finite
generating function) and many other special functions. In this talk we will
see a natural extension to this class: the DD-finite (and, more generically,
Dn-finite) functions. These functions are defined using a linear
differential equation with D-finite coefficients. We will described the
structural properties known for this larger class of functions.
Par ailleurs, le GT CIP ("Combinatoire, Informatique et Physique") se réunit
régulièrement le mardi matin à 10h30 et tous les membres de l'équipe CALIN
sont invités à venir participer, discuter, et exposer (certains exposés du
séminaire CALIN ont lieu dans cette tranche horaire). Gérard H. E. Duchamp
parlera de : "Towards a Picard-Vessiot theory of noncommutative differential
equations II : variations around a theorem by M. Deneufchâtel".
Thierry