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arXiv · 1810.05455

Rota-Baxter operators and Bernoulli polynomials

Vsevolod Gubarev
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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.

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Vsevolod Gubarev. 2018-10-12. Rota-Baxter operators and Bernoulli polynomials. https://doi.org/10.2478/cm-2021-0001

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