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On the Pell, Pell-Lucas and Modified Pell numbers by matrix method    
Yazarlar
Doç. Dr. Ahmet DAŞDEMİR 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
BM Sürdürülebilir Kalkınma Amaçları
Atıf Sayıları
SCOPUS 31

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