New Properties and Matrix Representations on Higher-Order Generalized Fibonacci Quaternions with <i>q</i>-Integer Components

New Properties and Matrix Representations on Higher-Order Generalized Fibonacci Quaternions with <i>q</i>-Integer Components

In this paper, by using <i>q</i>-integers and higher-order generalized Fibonacci numbers, we define the higher-order generalized Fibonacci quaternions with <i>q</i>-integer components. We give some special cases of these newly established quaternions. This article examines &l...

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Bibliographic Details
Main Authors: Can Kızılateş, Wei-Shih Du, Nazlıhan Terzioğlu, Ren-Chuen Chen
Format: Article
Language:English
Published: MDPI AG 2024-09-01
Series:Axioms
Subjects:
<i>q</i>-calculus
Binet formula
<i>q</i>-integer
recurrence relation
Fibonacci quaternions
higher-order generalized Fibonacci numbers
Online Access:https://www.mdpi.com/2075-1680/13/10/677
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