Publication: Lucas polynomials and power sums
| dc.contributor.authors | Tamm U. | |
| dc.date.accessioned | 2022-03-15T02:09:53Z | |
| dc.date.accessioned | 2026-01-11T13:30:08Z | |
| dc.date.available | 2022-03-15T02:09:53Z | |
| dc.date.issued | 2013 | |
| dc.description.abstract | The three - term recurrence xn + yn = (x + y) · (xn-1 + yn-1) - xy · (xn-2 + yn-2) allows to express xn + yn as a polynomial in the two variables x + y and xy. This polynomial is the bivariate Lucas polynomial. This identity is not as well known as it should be. It can be explained algebraically via the Girard - Waring formula, combinatorially via Lucas numbers and polynomials, and analytically as a special orthogonal polynomial. We shall briefly describe all these aspects and present an application from number theory. © 2013 IEEE. | |
| dc.identifier.doi | 10.1109/ITA.2013.6503003 | |
| dc.identifier.uri | https://hdl.handle.net/11424/247340 | |
| dc.language.iso | eng | |
| dc.relation.ispartof | 2013 Information Theory and Applications Workshop, ITA 2013 - Conference Proceedings | |
| dc.rights | info:eu-repo/semantics/closedAccess | |
| dc.subject | Chebyshev polynomials | |
| dc.subject | Girard - Waring formula | |
| dc.subject | Lucas polynomials | |
| dc.subject | orthogonal polynomials | |
| dc.subject | zeta function | |
| dc.title | Lucas polynomials and power sums | |
| dc.type | conferenceObject | |
| dspace.entity.type | Publication | |
| oaire.citation.endPage | 567 | |
| oaire.citation.startPage | 563 | |
| oaire.citation.title | 2013 Information Theory and Applications Workshop, ITA 2013 - Conference Proceedings |