eng
episciences.org
Communications in Mathematics
1804-1388
2336-1298
2021-04-30
Volume 29 (2021), Issue 1...
10.2478/cm-2021-0001
9520
journal article
Rota-Baxter operators and Bernoulli polynomials
Vsevolod Gubarev
https://orcid.org/0000-0002-7839-5714
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.
https://cm.episciences.org/9520/pdf
General Mathematics
[MATH]Mathematics [math]