On Gaussian Quadra Fibona-Pell Sequence and A Quaternion Sequence Formed by the Terms of This Sequence
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Tarih
2025
Yazarlar
Dergi Başlığı
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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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Scopus Q Değeri
Cilt
13
Sayı
1