77 citations · 379 across the 62 of their papers we have counts for
63 papers
Towards a Theory of Domains for Harmonic Functions and its Symbolic Counterpart
van Chiên Bui, Gérard Duchamp, Quoc Hoàn Ngo +2
In this paper, we begin by reviewing the calculus induced by the framework of [10]. In there, we extended Polylogarithm functions over a subalgebra of noncommutative rational power…
A local Theory of Domains and its (Noncommutative) Symbolic Counterpart
V. C. Bui, G. H. E. Duchamp, V. Hoang Ngoc Minh +2
It is widely accepted nowadays that polyzetas are connected by polynomial relations. One way to obtain relations among polyzetas is to consider their generating series and the rela…
Three variations on the linear independence of grouplikes in a coalgebra
Gérard Duchamp, Darij Grinberg, Vincel Minh
The grouplike elements of a coalgebra over a field are known to be linearly independent over said field. Here we prove three variants of this result. One is a generalization to coa…
A localized version of the basic triangle theorem
Gérard Duchamp, Nihar Gargava, Hoang Ngoc Minh +1
In this short note, we give a localized version of the basic triangle theorem, first published in 2011 (see [4]) in order to prove the independence of hyperlogarithms over various…
Kleene stars of the plane, polylogarithms and symmetries
Gérard Henry Edmond Duchamp, Vincel Hoang Ngoc Minh, Ngo Quoc Hoan
We extend the definition and construct several bases for polylogarithms Li T , where T are some series, recognizable by a finite state (multiplicity) automaton of alphabet 4 X = {x…
Operational Methods in the Study of Sobolev-Jacobi Polynomials
Nicolas Behr, Giuseppe Dattoli, Gérard H. E. Duchamp +2
Inspired by ideas from umbral calculus and based on the two types of integrals occurring in the defining equations for the gamma and the reciprocal gamma functions, respectively, w…