On the Pell, Pell-Lucas and Modified Pell numbers by matrix method
Yazarlar (1)
Doç. Dr. Ahmet DAŞDEMİR Kastamonu Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (SCOPUS dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Applied Mathematical Sciences | ||
| Dergi ISSN | 1312-885X Scopus Dergi | ||
| Dergi Tarandığı Indeksler | Scopus, EBSCO | ||
| Makale Dili | İngilizce | Basım Tarihi | 10-2011 |
| Cilt / Sayı / Sayfa | 5 / 61 / 3173–3181 | DOI | – |
| Makale Linki | http://oerior.uniud.it/wp-content/uploads/2018/12/Dasdemir2011.pdf | ||
| Özet |
| In this paper, we consider the usual Pell, Pell-Lucas and Modified Pell sequences, and we define some new matrices, which are based on Modified Pell and Pell-Lucas numbers, with determinants equal to 2 n or 2 3n. This unique properties provide very important formulas like the Simpson Formula of Modified Pell and Pell-Lucas numbers. Also we show that the Modified Pell and Pell-Lucas numbers have the generating matrices. Further, we present some elementary identities between them by these matrices. |
| Anahtar Kelimeler |
| Generating matrix | Modified pell number | Pell number | Pell-lucas number | Simpson formula |
