Rota-Baxter operators and Bernoulli polynomials
Number Theory
2022-01-25 v2 Rings and Algebras
Abstract
We develop the connection between Rota-Baxter operators arisen from algebra and mathematical physics and Bernoulli polynomials. We state that a trivial property of Rota-Baxter operators implies the symmetry of the power sum polynomials and Bernoulli polynomials. We show how Rota-Baxter operators equalities rewritten in terms of Bernoulli polynomials generate identities for the last.
Cite
@article{arxiv.1810.05455,
title = {Rota-Baxter operators and Bernoulli polynomials},
author = {Vsevolod Gubarev},
journal= {arXiv preprint arXiv:1810.05455},
year = {2022}
}
Comments
13 p; v2: references to the works of Miller and Ogievetsky & Schechtman were added