On Gaussian Quadra Fibona-Pell Sequence and A Quaternion Sequence Formed by the Terms of This Sequence

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Tarih

2025

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Yayıncı

Duzce University

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

In this study, the Gaussian quadra Fibona-Pell sequence is proposed and examined. The quadra Fibona-Pell sequence is first extended to define the Gaussian quadra Fibona-Pell sequence. Then the generating function, Binet-like formula, and some identities are represented. In addition, some formulas related to the Gaussian quadra Fibona-Pell sequence and some matrices containing terms of the sequence are studied. Finally we define a quaternion sequence formed by the terms of Gaussian quadra Fibona-Pell sequence.

Açıklama

Anahtar Kelimeler

Fourth-order recurrence relation|Gaussian numbers|Quaternion.

Kaynak

Düzce Üniversitesi Bilim ve Teknoloji Dergisi

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Cilt

13

Sayı

1

Künye