Rota-Baxter operators and Bernoulli polynomials

Vsevolod Gubarev

Communications in Mathematics (2021)

  • Issue: 1, page 1-14
  • ISSN: 1804-1388

Abstract

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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.

How to cite

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Gubarev, Vsevolod. "Rota-Baxter operators and Bernoulli polynomials." Communications in Mathematics (2021): 1-14. <http://eudml.org/doc/298004>.

@article{Gubarev2021,
abstract = {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.},
author = {Gubarev, Vsevolod},
journal = {Communications in Mathematics},
keywords = {Rota-Baxter operator; Bernoulli number; Bernoulli polynomial},
language = {eng},
number = {1},
pages = {1-14},
publisher = {University of Ostrava},
title = {Rota-Baxter operators and Bernoulli polynomials},
url = {http://eudml.org/doc/298004},
year = {2021},
}

TY - JOUR
AU - Gubarev, Vsevolod
TI - Rota-Baxter operators and Bernoulli polynomials
JO - Communications in Mathematics
PY - 2021
PB - University of Ostrava
IS - 1
SP - 1
EP - 14
AB - 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.
LA - eng
KW - Rota-Baxter operator; Bernoulli number; Bernoulli polynomial
UR - http://eudml.org/doc/298004
ER -

References

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