We extend the definition and study the algebraic properties of the polylogarithm Li(T) , where T is rational series over the alphabet X = {x 0 , x 1 } belonging to suitable subalgebras of rational series
The alternating and non-alternating harmonic sums and other algebraic objects of the same equivalenc...
AbstractIn Part I, Stirling numbers of both kinds were used to define a binomial (Laurent) series of...
AbstractWe define Lindenmayerian algebraic power series and study their properties. These series gen...
We extend the definition and study the algebraic properties of the polylogarithm Li(T) , where T is ...
We define L rational and L recognizable power series, and establish a Kleene-Schützenberger theorem ...
In this paper, we begin by reviewing the calculus induced by the framework of [10]. In there, we ext...
AbstractThe notion of the syntactic monoid is well known to be very important for formal languages, ...
AbstractLet Δ be a finite set of nonzero linear forms in several variables with coefficients in a fi...
Let Y0 = {ys}s≥0 be an infinite alphabet. We define Y ∗0 to be the (free) monoid of words on the alp...
International audienceIn this note we construct explicitly a family of nilpotent polylogarithmic ext...
Classically, higher logarithms appear as multivalued functions on the projective line. Today they ca...
We derive some series related to the polylogarithmic function, and we also give a new proof to the ...
AbstractBased on Kummer's 2-variable functional equations for the second through fifth orders of the...
AbstractKleene's theorem on the coincidence of regular and rational languages in free monoids has be...
AbstractWe define two types of series over Σ-algebras: formal series and, as a special case, term se...
The alternating and non-alternating harmonic sums and other algebraic objects of the same equivalenc...
AbstractIn Part I, Stirling numbers of both kinds were used to define a binomial (Laurent) series of...
AbstractWe define Lindenmayerian algebraic power series and study their properties. These series gen...
We extend the definition and study the algebraic properties of the polylogarithm Li(T) , where T is ...
We define L rational and L recognizable power series, and establish a Kleene-Schützenberger theorem ...
In this paper, we begin by reviewing the calculus induced by the framework of [10]. In there, we ext...
AbstractThe notion of the syntactic monoid is well known to be very important for formal languages, ...
AbstractLet Δ be a finite set of nonzero linear forms in several variables with coefficients in a fi...
Let Y0 = {ys}s≥0 be an infinite alphabet. We define Y ∗0 to be the (free) monoid of words on the alp...
International audienceIn this note we construct explicitly a family of nilpotent polylogarithmic ext...
Classically, higher logarithms appear as multivalued functions on the projective line. Today they ca...
We derive some series related to the polylogarithmic function, and we also give a new proof to the ...
AbstractBased on Kummer's 2-variable functional equations for the second through fifth orders of the...
AbstractKleene's theorem on the coincidence of regular and rational languages in free monoids has be...
AbstractWe define two types of series over Σ-algebras: formal series and, as a special case, term se...
The alternating and non-alternating harmonic sums and other algebraic objects of the same equivalenc...
AbstractIn Part I, Stirling numbers of both kinds were used to define a binomial (Laurent) series of...
AbstractWe define Lindenmayerian algebraic power series and study their properties. These series gen...
DOI
Add to ORKG