Authors: Vsevolod Gubarev

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 latter.

• 11B68 - Bernoulli and Euler numbers and polynomials
• 16W99 - Associative rings and algebras with additional structure
• 17B38 - Yang-Baxter equations and Rota-Baxter operators