A symbolic approach to some identities for Bernoulli-Barnes polynomials - Archive ouverte HAL Access content directly
Journal Articles International Journal of Number Theory Year : 2016

A symbolic approach to some identities for Bernoulli-Barnes polynomials

, (1) , (2)
1
2

Abstract

The Bernoulli–Barnes polynomials are defined as a natural multidimensional extension of the classical Bernoulli polynomials. Many of the properties of the Bernoulli polynomials admit extensions to this new family. A specific expression involving the Bernoulli–Barnes polynomials has recently appeared in the context of self-dual sequences. The work presented here provides a proof of this self-duality using the symbolic calculus attached to Bernoulli numbers and polynomials. Several properties of the Bernoulli–Barnes polynomials are established by this procedure.
Fichier principal
Vignette du fichier
vignat_bernoulli_barnes_polynomials.pdf (160.18 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01294173 , version 1 (10-04-2020)

Identifiers

Cite

Lin Jiu, Victor H. Moll, Christophe Vignat. A symbolic approach to some identities for Bernoulli-Barnes polynomials. International Journal of Number Theory, 2016, 12 (03), pp.649-662. ⟨10.1142/s1793042116500421⟩. ⟨hal-01294173⟩
75 View
65 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More