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Dergiler / Kocaeli Journal of Science and Engineering / 2026 / Cilt: 5 Sayı: 2

Unrestricted Pell and Pell – Lucas 2N-ons

Öznur Bayrakçı Özsoy(KASTAMONU UNIVERSITY)0000-0003-2297-4183
Göksal Bilgici(Kastamonu Üniversitesi)0000-0001-9964-5578
Sayfa
112–116
Yayın Tarihi
2022-11-30
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

We also obtain some generalization of well – known identities such as Catalan’s, Cassini’s and d’Ocagne’s identities.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this study, we define unrestricted Pell and Pell – Lucas hyper-complex numbers.
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Temel Bulgular & Veri:We choose arbitrary Pell and Pell – Lucas numbers for the coefficients of the ordered basis 〖{e〗_0,e_1,⋯,e_(N-1)} of hyper-complex 2^N-ons where N∈{0,1,2,3,4} and call these hyper-complex numbers unrestricted Pell and Pell-Lucas 2N-ons.
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Sonuç & Katkı:We also obtain some generalization of well – known identities such as Catalan’s, Cassini’s and d’Ocagne’s identities.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Pell sequence · Pell-Lucas sequence · Quaternion

Abstract

In this study, we define unrestricted Pell and Pell – Lucas hyper-complex numbers. We choose arbitrary Pell and Pell – Lucas numbers for the coefficients of the ordered basis 〖{e〗_0,e_1,⋯,e_(N-1)} of hyper-complex 2^N-ons where N∈{0,1,2,3,4} and call these hyper-complex numbers unrestricted Pell and Pell-Lucas 2N-ons. We give generating functions and Binet formulas for these type of hyper-complex numbers. We also obtain some generalization of well – known identities such as Catalan’s, Cassini’s and d’Ocagne’s identities.

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Bu Makaleye Atıf Yap

Özsoy, Ö. B., Bilgici, G. (2022). Unrestricted Pell and Pell – Lucas 2N-ons. Kocaeli Journal of Science and Engineering, Cilt: 5 Sayı: 2, 112–116. https://doi.org/10.34088/kojose.1033409

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Kaynakça (12)

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