Yazarlar |
Öznur Bayrakcı Özsoy
|
Prof. Dr. Göksal BİLGİCİ
Kastamonu Üniversitesi, Türkiye |
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. |
Anahtar Kelimeler |
Makale Türü | Özgün Makale |
Makale Alt Türü | Ulusal alan endekslerinde (TR Dizin, ULAKBİM) yayımlanan tam makale |
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 No | 5 |
Sayı | 2 |
Sayfalar | 112 / 116 |
Doi Numarası | 10.34088/kojose.1033409 |