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On higher order Fibonacci hyper complex numbers by Kızılateş, Can (author);Kone, Tiekoro (author) is a Physics and Astronomy article available to read on EtoBox.
What is On higher order Fibonacci hyper complex numbers about?
This paper deals with developing a new class of quaternions, octonions and sedenions called higher order Fibonacci 2 m -ions (or-higher order Fibonacci hyper complex numbers) whose components are higher order Fibonacci numbers. We give recurrence relation, Binet formula, generating function and exponential generating function of higher order Fibonacci 2 m -ions. We also derive some identities such as Vajda's identity, Catalan's identity, Cassini's identity, and d'Ocagne's identity with the aid of the Binet formula. Finally, we develop some matrix identities involving higher order Fibonacci 2 m -ions which allow us to obtain some properties of these higher order hyper complex numbers.
Who reads On higher order Fibonacci hyper complex numbers?
It is typically read by researchers, students, and practitioners in Physics and Astronomy.
- Author
- Kızılateş, Can (author);Kone, Tiekoro (author)
- Publisher
- Elsevier BV
- Published
- 2021
- Language
- EN
- Field
- Physics and Astronomy (Physical Sciences)
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