Yıl: 2022 Cilt: 5 Sayı: 2 Sayfa Aralığı: 112 - 116 Metin Dili: İngilizce DOI: 10.34088/kojose.1033409 İndeks Tarihi: 12-12-2022

Unrestricted Pell and Pell – Lucas 2N-ons

Öz:
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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Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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APA Bayrakcı Özsoy Ö, Bilgici G (2022). Unrestricted Pell and Pell – Lucas 2N-ons. , 112 - 116. 10.34088/kojose.1033409
Chicago Bayrakcı Özsoy Öznur,Bilgici Goksal Unrestricted Pell and Pell – Lucas 2N-ons. (2022): 112 - 116. 10.34088/kojose.1033409
MLA Bayrakcı Özsoy Öznur,Bilgici Goksal Unrestricted Pell and Pell – Lucas 2N-ons. , 2022, ss.112 - 116. 10.34088/kojose.1033409
AMA Bayrakcı Özsoy Ö,Bilgici G Unrestricted Pell and Pell – Lucas 2N-ons. . 2022; 112 - 116. 10.34088/kojose.1033409
Vancouver Bayrakcı Özsoy Ö,Bilgici G Unrestricted Pell and Pell – Lucas 2N-ons. . 2022; 112 - 116. 10.34088/kojose.1033409
IEEE Bayrakcı Özsoy Ö,Bilgici G "Unrestricted Pell and Pell – Lucas 2N-ons." , ss.112 - 116, 2022. 10.34088/kojose.1033409
ISNAD Bayrakcı Özsoy, Öznur - Bilgici, Goksal. "Unrestricted Pell and Pell – Lucas 2N-ons". (2022), 112-116. https://doi.org/10.34088/kojose.1033409
APA Bayrakcı Özsoy Ö, Bilgici G (2022). Unrestricted Pell and Pell – Lucas 2N-ons. Kocaeli Journal of Science and Engineering, 5(2), 112 - 116. 10.34088/kojose.1033409
Chicago Bayrakcı Özsoy Öznur,Bilgici Goksal Unrestricted Pell and Pell – Lucas 2N-ons. Kocaeli Journal of Science and Engineering 5, no.2 (2022): 112 - 116. 10.34088/kojose.1033409
MLA Bayrakcı Özsoy Öznur,Bilgici Goksal Unrestricted Pell and Pell – Lucas 2N-ons. Kocaeli Journal of Science and Engineering, vol.5, no.2, 2022, ss.112 - 116. 10.34088/kojose.1033409
AMA Bayrakcı Özsoy Ö,Bilgici G Unrestricted Pell and Pell – Lucas 2N-ons. Kocaeli Journal of Science and Engineering. 2022; 5(2): 112 - 116. 10.34088/kojose.1033409
Vancouver Bayrakcı Özsoy Ö,Bilgici G Unrestricted Pell and Pell – Lucas 2N-ons. Kocaeli Journal of Science and Engineering. 2022; 5(2): 112 - 116. 10.34088/kojose.1033409
IEEE Bayrakcı Özsoy Ö,Bilgici G "Unrestricted Pell and Pell – Lucas 2N-ons." Kocaeli Journal of Science and Engineering, 5, ss.112 - 116, 2022. 10.34088/kojose.1033409
ISNAD Bayrakcı Özsoy, Öznur - Bilgici, Goksal. "Unrestricted Pell and Pell – Lucas 2N-ons". Kocaeli Journal of Science and Engineering 5/2 (2022), 112-116. https://doi.org/10.34088/kojose.1033409