Geodesic
Rota-Baxter operators and Bernoulli polynomials
Communications in Mathematics, Tome 29 (2021) no. 1, pp. 1-14.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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.
Classification : 11B68, 16W99
Keywords: Rota-Baxter operator; Bernoulli number; Bernoulli polynomial 
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     title = {Rota-Baxter operators and {Bernoulli} polynomials},
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Gubarev, Vsevolod. Rota-Baxter operators and Bernoulli polynomials. Communications in Mathematics, Tome 29 (2021) no. 1, pp. 1-14. http://geodesic.mathdoc.fr/item/COMIM_2021__29_1_a0/