Geodesic
Rota-Baxter operators and Bernoulli polynomials
Communications in Mathematics, Tome 29 (2021) no. 1, pp. 1-14

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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.
Classification : 11B68, 16W99
Keywords: Rota-Baxter operator; Bernoulli number; Bernoulli polynomial 
@article{COMIM_2021__29_1_a0,
     author = {Gubarev, Vsevolod},
     title = {Rota-Baxter operators and {Bernoulli} polynomials},
     journal = {Communications in Mathematics},
     pages = {1--14},
     publisher = {mathdoc},
     volume = {29},
     number = {1},
     year = {2021},
     mrnumber = {4251304},
     zbl = {07413354},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/COMIM_2021__29_1_a0/}
}
TY  - JOUR
AU  - Gubarev, Vsevolod
TI  - Rota-Baxter operators and Bernoulli polynomials
JO  - Communications in Mathematics
PY  - 2021
SP  - 1
EP  - 14
VL  - 29
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/COMIM_2021__29_1_a0/
LA  - en
ID  - COMIM_2021__29_1_a0
ER  - 
%0 Journal Article
%A Gubarev, Vsevolod
%T Rota-Baxter operators and Bernoulli polynomials
%J Communications in Mathematics
%D 2021
%P 1-14
%V 29
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/COMIM_2021__29_1_a0/
%G en
%F COMIM_2021__29_1_a0
Gubarev, Vsevolod. Rota-Baxter operators and Bernoulli polynomials. Communications in Mathematics, Tome 29 (2021) no. 1, pp. 1-14. http://geodesic.mathdoc.fr/item/COMIM_2021__29_1_a0/