Rota-Baxter operators and Bernoulli polynomials - Archive ouverte HAL
Article Dans Une Revue Communications in Mathematics Année : 2021

Rota-Baxter operators and Bernoulli polynomials

Vsevolod Gubarev
  • Fonction : Auteur correspondant

Résumé

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.
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hal-03665009 , version 1 (11-05-2022)

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Vsevolod Gubarev. Rota-Baxter operators and Bernoulli polynomials. Communications in Mathematics, 2021, Volume 29 (2021), Issue 1 (Special Issue: Ostrava Mathematical Seminar) (1), pp.1 - 14. ⟨10.2478/cm-2021-0001⟩. ⟨hal-03665009⟩
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