Non-Newtonian Pell and Pell-Lucas numbers
| dc.authorid | 0000-0002-6224-1921 | |
| dc.contributor.author | Yağmur, Tülay | |
| dc.date.accessioned | 2025-01-15T08:40:14Z | |
| dc.date.available | 2025-01-15T08:40:14Z | |
| dc.date.issued | 2024 | |
| dc.department | Sabire Yazıcı Fen Edebiyat Fakültesi | |
| dc.description.abstract | In the present paper, we introduce a new type of Pell and Pell-Lucas numbers in terms of non-Newtonian calculus, which we call non-Newtonian Pell and non-Newtonian Pell-Lucas numbers, respectively. In non-Newtonian calculus, we study some significant identities and formulas for classical Pell and Pell-Lucas numbers. Therefore, we derive some relations with non-Newtonian Pell and Pell-Lucas numbers. Furthermore, we investigate some properties of non-Newtonian Pell and Pell-Lucas numbers, including Catalan-like identities, Cassini-like identities, Binet-like formulas, and generating functions. | |
| dc.identifier.doi | 10.54187/jnrs.1447678 | |
| dc.identifier.endpage | 35 | en_US |
| dc.identifier.issn | 1304-7981 | |
| dc.identifier.issue | 1 | en_US |
| dc.identifier.startpage | 22 | en_US |
| dc.identifier.uri | https:/dx.doi.org/10.54187/jnrs.1447678 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12451/12727 | |
| dc.identifier.volume | 13 | en_US |
| dc.indekslendigikaynak | TR-Dizin | |
| dc.language.iso | en | |
| dc.publisher | Tokat Gaziosmanpaşa Üniversitesi | |
| dc.relation.ispartof | Journal of New Results in Science | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.subject | Non-Newtonian Calculus | |
| dc.subject | Pell Number | |
| dc.subject | Pell-Lucas Number | |
| dc.title | Non-Newtonian Pell and Pell-Lucas numbers | |
| dc.type | Article |
