New results on negative-indexed pell numbers via matrix methods

Yükleniyor...
Küçük Resim

Tarih

2025

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

SİVAS CUMHURİYET ÜNİVERSİTESİ

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

In this study, we investigate the Pell and Pell–Lucas numbers sequences and construct matrices whose elements are defined using negative indices of these sequences through Binet’s formula. Identities involving negative- indexed Pell and Pell–Lucas numbers are derived using the determinants and traces of these matrices. Furthermore, we examine various powers of the constructed matrices and discuss related elementary matrix operations.

Açıklama

Anahtar Kelimeler

Pell numbers, Pell-Lucas numbers, Matrix theory

Kaynak

Cumhuriyet Science Journal

WoS Q Değeri

Scopus Q Değeri

Cilt

46

Sayı

4

Künye