Unrestricted Pell and Pell – Lucas 2N-ons
Yazarlar (2)
Öznur Bayrakcı Özsoy Kastamonu Üniversitesi
Prof. Dr. Göksal BİLGİCİ Kastamonu Üniversitesi, Türkiye
| Makale Türü |
Özgün Makale
(Ulusal alan endekslerinde (TR Dizin, ULAKBİM) yayınlanan tam makale)
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| Dergi Adı | Kocaeli Journal of Science and Engineering | ||
| Dergi ISSN | 2667-484X | ||
| Dergi Tarandığı Indeksler | TR DİZİN | ||
| Makale Dili | İngilizce | Basım Tarihi | 11-2022 |
| Cilt / Sayı / Sayfa | 5 / 2 / 112–116 | DOI | 10.34088/kojose.1033409 |
| UAK Araştırma Alanları |
Cebir ve Sayılar Teorisi
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| Özet |
| 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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