{"docId":9520,"paperId":9520,"url":"https:\/\/cm.episciences.org\/9520","doi":"10.2478\/cm-2021-0001","journalName":"Communications in Mathematics","issn":"1804-1388","eissn":"2336-1298","volume":[{"vid":647,"name":"Volume 29 (2021), Issue 1 (Special Issue: Ostrava Mathematical Seminar)"}],"section":[],"repositoryName":"Hal","repositoryIdentifier":"hal-03665009","repositoryVersion":1,"repositoryLink":"https:\/\/hal.science\/hal-03665009v1","dateSubmitted":"2022-05-11 15:41:59","dateAccepted":null,"datePublished":"2021-04-30 00:00:00","titles":{"en":"Rota-Baxter operators and Bernoulli polynomials"},"authors":["Gubarev, Vsevolod"],"abstracts":{"en":"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."},"keywords":[["General Mathematics"],"[MATH]Mathematics [math]"]}