A symbolic approach to some identities for Bernoulli-Barnes polynomials

Lin Jiu; Victor H. Moll; Christophe Vignat

A symbolic approach to some identities for Bernoulli-Barnes polynomials

Lin Jiu Victor H. Moll ¹ Christophe Vignat ²

1 Department of Mathematics [Tulane, New Orleans]

2 L2S - Laboratoire des signaux et systèmes

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.

Document type :

Journal articles

Domain :

Mathematics [math] / Probability [math.PR]

Complete list of metadatas

https://hal-centralesupelec.archives-ouvertes.fr/hal-01294173
Contributor : Christophe Vignat <>
Submitted on : Monday, March 28, 2016 - 4:19:18 AM
Last modification on : Thursday, April 5, 2018 - 12:30:05 PM

A symbolic approach to some identities for Bernoulli-Barnes polynomials

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A symbolic approach to some identities for Bernoulli-Barnes polynomials

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