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.
| Dernière modification : Thursday 21 November 2024 |
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Contact pour cette page : Cyril.Banderier at lipn.univ-paris13.fr |