| Title:
|
Rota-Baxter operators and Bernoulli polynomials (English) |
| Author:
|
Gubarev, Vsevolod |
| Language:
|
English |
| Journal:
|
Communications in Mathematics |
| ISSN:
|
1804-1388 (print) |
| ISSN:
|
2336-1298 (online) |
| Volume:
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29 |
| Issue:
|
1 |
| Year:
|
2021 |
| Pages:
|
1-14 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
Rota-Baxter operator |
| Keyword:
|
Bernoulli number |
| Keyword:
|
Bernoulli polynomial |
| MSC:
|
11B68 |
| MSC:
|
16W99 |
| idZBL:
|
Zbl 07413354 |
| idMR:
|
MR4251304 |
| . |
| Date available:
|
2021-07-09T12:21:33Z |
| Last updated:
|
2021-11-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/148986 |
| . |
| Reference:
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