3 citations · 3 across the 1 of their papers we have counts for
4 papers
A two-parameter deformation of the quasi-shuffle and new bases of quasi-symmetric functions
Olivier Bouillot, Jean-Christophe Novelli, Jean-Yves Thibon
We define a two-parameter deformation of the quasi-shuffle by means of the formal group law associated with the exponential generating function of the homogeneous Eulerian polynomi…
Invariants of identity-tangent diffeomorphisms: explicit formulae and effective computation
Olivier Bouillot, Jean Ecalle
In this short Survey we revisit the subject of local, identity-tangent diffeomorphisms of $\doC$ and their analytic invariants, under two viewpoints: that of explicit expansions, w…
The Algebra of Hurwitz Multizeta Functions
Olivier Bouillot
Multizeta values are real numbers which span a complicated algebra: there exist two different interacting products. A functional analog of these numbers is defined so as to obtain…
The Algebra of Multitangent Functions
Olivier Bouillot
Multizeta values are numbers appearing in many different contexts. Unfortunately, their arithmetics remains mostly out of reach. In this article, we define a functional analogue of…