Rota-Baxter operators and Bernoulli polynomials

Gubarev, Vsevolod

Communications in Mathematics, Tome 29 (2021) no. 1, pp. 1-14

Abstract (VO)

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.

Détail

Classification : 11B68, 16W99
Keywords: Rota-Baxter operator; Bernoulli number; Bernoulli polynomial

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