Search engine for discovering works of Art, research articles, and books related to Art and Culture
ShareThis
Javascript must be enabled to continue!

Horadam Octonions

View through CrossRef
Abstract In this paper, first we define Horadam octonions by Horadam sequence which is a generalization of second order recurrence relations. Also, we give some fundamental properties involving the elements of that sequence. Then, we obtain their Binet-like formula, ordinary generating function and Cassini identity.
Title: Horadam Octonions
Description:
Abstract In this paper, first we define Horadam octonions by Horadam sequence which is a generalization of second order recurrence relations.
Also, we give some fundamental properties involving the elements of that sequence.
Then, we obtain their Binet-like formula, ordinary generating function and Cassini identity.

Related Results

THE BIVARIATE HORADAM POLYNOMIALS AND HYBRINOMIALS
THE BIVARIATE HORADAM POLYNOMIALS AND HYBRINOMIALS
In this paper, we define the Horadam polynomials and hybrinomials with two variables x and y; called the bivariate Horadam polynomials and hybrinomials, respectively. Also, we obta...
The Third Order Jacobsthal Octonions: Some Combinatorial Properties
The Third Order Jacobsthal Octonions: Some Combinatorial Properties
Abstract Various families of octonion number sequences (such as Fibonacci octonion, Pell octonion and Jacobsthal octonion) have been established by a number of au...
On Horadam-Lucas Sequence
On Horadam-Lucas Sequence
Horadam introduced a generalized sequence of numbers, describing its key features and the special sub-sequences obtained from specific choices of initial parameters. This sequence ...
Horadam–Lucas Cubes
Horadam–Lucas Cubes
In this paper, we introduce a novel class of graphs referred to as the Horadam–Lucas cubes. This class extends the concept of Lucas cubes and retains numerous desirable properties ...
Are octonions necessary to the Standard Model?
Are octonions necessary to the Standard Model?
Abstract There have been a number of claims, going back to the 1970s, that the Standard Model of particle physics, based on fermions and antifermions, might be deriv...
Some New Properties of Hyperbolic K-fibonacci and K-lucas octonions
Some New Properties of Hyperbolic K-fibonacci and K-lucas octonions
Abstract The aim of this paper is to establish some novel identities for hyperbolic k-Fibonacci octonions and k-Lucas octonions. We prove these properties using the identit...
Construction of Exceptional Lie Algebra G2 and Non-associative Algebras Using Clifford Algebra
Construction of Exceptional Lie Algebra G2 and Non-associative Algebras Using Clifford Algebra
Abstract This article uses Clifford algebra of positive definite signature to derive octonions and the Lie exceptional algebra ...
On a Class of Humbert-Hermite Polynomials
On a Class of Humbert-Hermite Polynomials
A unified presentation of a class of Humbert’s polynomials in two variables which generalizes the well known class of Gegenbauer, Humbert, Legendre, Chebycheff, Pincherle...

Back to Top