Zobrazeno 1 - 10
of 55
pro vyhledávání: '"Duchamp, Gérard H. E."'
Publikováno v:
Mathematics, vol. 7, no. 2, p. 124, Jan. 2019
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, we develop a multi-variate version of umbral calculus and of the so-cal
Externí odkaz:
http://arxiv.org/abs/1810.09793
For a sequence $P=(p_n(x))_{n=0}^{\infty}$ of polynomials $p_n(x)$, we study the $K$-tuple and $L$-shifted exponential lacunary generating functions $\mathcal{G}_{K,L}(\lambda;x):=\sum_{n=0}^{\infty}\frac{\lambda^n}{n!} p_{n\cdot K+L}(x)$, for $K=1,2
Externí odkaz:
http://arxiv.org/abs/1806.08417
We propose a concise stochastic mechanics framework for chemical reaction systems that allows to formulate evolution equations for three general types of data: the probability generating functions, the exponential moment generating functions and the
Externí odkaz:
http://arxiv.org/abs/1712.06575
Polyzetas, indexed by words, satisfy shuffle and quasi-shuffle identities. In this respect, one can explore the multiplicative and algorithmic (locally finite) properties of their generating series. In this paper, we construct pairs of bases in duali
Externí odkaz:
http://arxiv.org/abs/1612.06011
We carry on the investigation initiated in [15] : we describe new shuffle products coming from some special functions and group them, along with other products encountered in the literature, in a class of products, which we name $\varphi$-shuffle pro
Externí odkaz:
http://arxiv.org/abs/1512.01637
Autor:
Bui, Van Chiên, Duchamp, Gérard H. E., Ngô, Quoc Hoan, Minh, Vincel Hoang Ngoc, Tollu, Christophe
Publikováno v:
Seminaire Lotharingien de Combinatoire, Universit{\'e} Louis Pasteur, 2015, 74, pp.1-31
Computations with integro-differential operators are often carried out in an associative algebra with unit, and they are essentially non-commutative computations. By adjoining a cocommutative co-product, one can have those operators perform act on a
Externí odkaz:
http://arxiv.org/abs/1507.01089
Publikováno v:
Adv. Math. Phys. 2018, Article ID 9575626 (2018)
We give a purely combinatorial proof of the Glaisher-Crofton identity which derives from the analysis of discrete structures generated by iterated second derivative. The argument illustrates utility of symbolic and generating function methodology of
Externí odkaz:
http://arxiv.org/abs/1407.4960
In this paper, we explain the importance of finite decomposition semigroups and present two theorems related to their structure.
Comment: 1 figure
Comment: 1 figure
Externí odkaz:
http://arxiv.org/abs/1303.3913
Publikováno v:
Advances in Applied Mathematics 51 (2013), 345-358
Using a quantum field theory renormalization group-like differential equation, we give a new proof of the recipe theorem for the Tutte polynomial for matroids. The solution of such an equation is in fact given by some appropriate characters of the Ho
Externí odkaz:
http://arxiv.org/abs/1301.0782
In this paper, we present Sch\"utzenberger's factorization in different combinatorial contexts and show that its validity is not restricted to these cases but can be extended to every Lie algebra endowed with an ordered basis. We also expose some ele
Externí odkaz:
http://arxiv.org/abs/1111.6759