New Approach to Pell and Pell-Lucas Sequences
| dc.contributor.author | Yağmur, Tülay | |
| dc.date.accessioned | 13.07.201910:50:10 | |
| dc.date.accessioned | 2019-07-16T09:16:28Z | |
| dc.date.available | 13.07.201910:50:10 | |
| dc.date.available | 2019-07-16T09:16:28Z | |
| dc.date.issued | 2019 | |
| dc.department | Aksaray Sosyal Bilimler Meslek Yüksekokulu | |
| dc.description.abstract | In this paper, we first define generalizations of Pell and Pell-Lucas sequences by the recurrence relations p(n) = 2ap(n-1) + (b - a(2))p(n-2) and q(n) = 2aq(n-1) + (b - a(2))q(n-2) with initial conditions p(0) = 0, p(1) = 1, and q(0) = 2, q(1) = 2a, respectively. We give generating functions and Binet's formulas for these sequences. Also, we obtain some identities of these sequences. | |
| dc.identifier.doi | 10.5666/KMJ.2019.59.1.23 | |
| dc.identifier.endpage | 34 | en_US |
| dc.identifier.issn | 1225-6951 | |
| dc.identifier.issn | 0454-8124 | |
| dc.identifier.issue | 1 | en_US |
| dc.identifier.scopusquality | Q3 | |
| dc.identifier.startpage | 23 | en_US |
| dc.identifier.uri | https://doi.org/10.5666/KMJ.2019.59.1.23 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12451/4599 | |
| dc.identifier.volume | 59 | en_US |
| dc.identifier.wos | WOS:000465142300003 | |
| dc.identifier.wosquality | N/A | |
| dc.indekslendigikaynak | Web of Science | |
| dc.indekslendigikaynak | Scopus | |
| dc.language.iso | en | |
| dc.publisher | Kyungpook Natl Univ, Dept Mathematics | |
| dc.relation.ispartof | Kyungpook Mathematical Journal | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/closedAccess | |
| dc.subject | Pell Sequence | |
| dc.subject | Pell-Lucas Sequence | |
| dc.title | New Approach to Pell and Pell-Lucas Sequences | |
| dc.type | Article |
