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Ludovic Meunier's Home Page

Address Articles, thesis and posters Maple ESF Links ClubMEDD


I am Ph.D. student at the Algorithms project; my supervisor is Bruno Salvy. The title of my thesis is Computer Algebra and special functions (Calcul Formel et fonctions spéciales).

Articles, thesis and posters


I am a Maple lover and I have developped the following softwares.

The Encyclopedia of Special Functions

I'm discovering the world of Special Functions. It is a tough job, since nobody knows exactly what a Special Function is! Indeed, a function is said to be special when it arises often in calculations: this is a somehow vague definition. In particular, there is no algebraic structure that contains all known Special Functions (a list may be found in the Handbook of Mathematical Functions, by M.Abramowitz and I.A.Stegun or in its on-line version and at Wolfram).

I focus on Special Functions that share the property of being solution of a linear differential equation with polynomial coefficients. These functions are called D-finite; about 60% of known Special Functions fall into the D-finite class. This class has been widely studied and a whole bunch of algorithms is applicable.

My supervisor came up with the exciting idea of using these algorithms, while extending them, in order to generate automatically the The Encyclopedia of Special Functions. I am developping this encyclopedia.


Below is a list of interesting links.


Ludovic Meunier, INRIA Rocquencourt, B. P. 105, F-78153 Le Chesnay Cedex (France)
Tel: +33 1 39 63 52 44
Fax: +33 1 39 63 55 96