Pell and Pell-Lucas hyper complex numbers
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Abstract (EN)
The well-known method for constructing hyper complex numbers is Cayley – Dickson process. There are many studies about Pell and Pell – Lucas hyper complex numbers but it can be seen that successive Pell and Pell – Lucas numbers were chosen as coefficients for the elements of ordered basis of hyper complex numbers in all these studies. In this thesis, random Pell and Pell – Lucas numbers are put in the elements of ordered basis of hyper complex numbers. These numbers are called unrestricted Pell and Pell – Lucas 2^Ns. After the generating functions and the Binet formulas are given, many identities including Vajda, Catalan, Cassini and d'Ocagne are obtained.
Author
Öznur Bayrakcı Kıldır
How to Cite
Öznur Bayrakcı Kıldır (Master Thesis). Pell and Pell-Lucas hyper complex numbers, 2019, Kastamonu University.
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