SOLUTIONS OF THE PELL EQUATION x2 - (a2+2a) y2 = N VIA GENERALIZED FIBONACCI AND LUCAS NUMBERS
| dc.contributor.author | Peker, Bilge | |
| dc.contributor.author | Senay, Hasan | |
| dc.date.accessioned | 2024-02-23T14:48:40Z | |
| dc.date.available | 2024-02-23T14:48:40Z | |
| dc.date.issued | 2015 | |
| dc.department | NEÜ | en_US |
| dc.description.abstract | In this study, we find continued fraction expansion of Aid when d = a(2) + 2a where a is positive integer. We consider the integer solutions of the Pell equation x(2) - (a(2) + 2a) y(2) = N when N is an element of {+/-1, +/-4}. We formulate the n-th solution (x(n), y(n)) by using the continued fraction expansion. We also formulate the n-th solution (x(n), y(n)) via the generalized Fibonacci and Lucas sequences. | en_US |
| dc.description.sponsorship | TUBITAK (The Scientific and Technological Research Council of Turkey); Necmettin Erbakan University Scientific Research Project Coordinatorship (BAP) | en_US |
| dc.description.sponsorship | This research is supported by TUBITAK (The Scientific and Technological Research Council of Turkey) and Necmettin Erbakan University Scientific Research Project Coordinatorship (BAP). This study is a part of Bilge Peker's Ph.D. Thesis. | en_US |
| dc.identifier.endpage | 726 | en_US |
| dc.identifier.issn | 1521-1398 | |
| dc.identifier.issn | 1572-9206 | |
| dc.identifier.issue | 4 | en_US |
| dc.identifier.scopusquality | Q4 | en_US |
| dc.identifier.startpage | 721 | en_US |
| dc.identifier.uri | https://hdl.handle.net/20.500.12452/17763 | |
| dc.identifier.volume | 18 | en_US |
| dc.identifier.wos | WOS:000348558700013 | en_US |
| dc.identifier.wosquality | Q3 | en_US |
| dc.indekslendigikaynak | Web of Science | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Eudoxus Press, Llc | en_US |
| dc.relation.ispartof | Journal Of Computational Analysis And Applications | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Diophantine Equations | en_US |
| dc.subject | Pell Equations | en_US |
| dc.subject | Continued Fraction | en_US |
| dc.subject | Integer | en_US |
| dc.subject | Solutions | en_US |
| dc.subject | Generalized Fibonacci And Lucas Sequences | en_US |
| dc.title | SOLUTIONS OF THE PELL EQUATION x2 - (a2+2a) y2 = N VIA GENERALIZED FIBONACCI AND LUCAS NUMBERS | en_US |
| dc.type | Article | en_US |
