학술논문
The Hybrid Numbers of Padovan and Some Identities
Document Type
article
Author
Source
Annales Mathematicae Silesianae, Vol 34, Iss 2, Pp 256-267 (2020)
Subject
Language
English
ISSN
2391-4238
Abstract
In this article, we will define Padovan’s hybrid numbers, based on the new noncommutative numbering system studied by Özdemir ([7]). Such a system that is a set involving complex, hyperbolic and dual numbers. In addition, Padovan’s hybrid numbers are created by combining this set, satisfying the relation ih = −hi = ɛ + i. Given this, some properties and identities are shown for these numbers, such as Binet’s formula, generating matrix, characteristic equation, norm, and generating function. In addition, these numbers are extended to the integer field and some identities are made.