Split Pell and Pell-Lucas quaternions
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Abstract (EN)
This thesis consists of four parts. In the first part, introduction is presented. In the second part, quaternions are defined, basic definitions and concepts are given. In the third part, information about Pell and Pell-Lucas numbers is provided, their notation in Binet formula, generator functions and special theorems such as Vajda are proven, genarator functions of Pell and Pell- Lucas numbers are defined. In the fourth part Split Pell and Split Pell-Lucas quaternions are worked. Their notation in the Binet formula special theorems such as Catalan, Cassini, d'Ocagne and Vajda and their proofs are given. Finally, identity of Split Pell and Split Pell-Lucas quaternions and their proofs are given.
Author
Elif Çakır
How to Cite
Elif Çakır (Master Thesis). Split Pell and Pell-Lucas quaternions, 2019, Kastamonu University.
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