On the Hyperbolic Leonardo and Hyperbolic Francois Quaternions

In this paper, we present a new definition, referred to as the Francois sequence, related to the Lucas-like form of the Leonardo sequence. We also introduce the hyperbolic Leonardo and hyperbolic Francois quaternions. Afterward, we derive the Binet-like formulas and their generating functions. Moreo...

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Bibliographic Details
Main Authors: Paula Maria Machado Cruz Catarino, Orhan Dışkaya, Hamza Menken
Format: Article
Language:English
Published: Naim Çağman 2023-03-01
Series:Journal of New Theory
Subjects:
Online Access:https://dergipark.org.tr/en/download/article-file/2751412