A symbolic method is used to establish some properties of the
Bernoulli-Barnes polynomials.Comment: 12 page

Jiu, Lin

Moll, Victor H.

Vignat, Christophe

International Journal of Number Theory

English

arXiv

International audienceThe 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

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A symbolic approach to some identities for Bernoulli-Barnes polynomials

 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. </jats:p

Lin Jiu

Victor H. Moll

Christophe Vignat

Crossref

A symbolic approach to some identities for Bernoulli–Barnes polynomials

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https://centralesupelec.hal.science/hal-01294173v1/file/vignat_bernoulli_barnes_polynomials.pdf