Yazarlar |
Doç. Dr. Ahmet DAŞDEMİR
Kastamonu Üniversitesi, Türkiye |
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 2n or 23n.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 |
Makale Türü | Özgün Makale |
Makale Alt Türü | SCOPUS dergilerinde yayımlanan tam makale |
Dergi Adı | Applied Mathematical Sciences |
Dergi ISSN | 1314-7552 |
Dergi Tarandığı Indeksler | Scopus, EBSCO |
Makale Dili | İngilizce |
Basım Tarihi | 10-2011 |
Cilt No | 5 |
Sayı | 64 |
Sayfalar | 3173 / 3181 |
Makale Linki | http://www.m-hikari.com/ams/ams-2011/ams-61-64-2011/dasdemirAMS61-64-2011.pdf |