Results 121 to 130 of about 69,814 (147)

A generalized quaternion with generalized Fibonacci number components

, 2020
In this paper we introduce a generalized quaternion with generalized Fibonacci number components. For this quaternion we obtain the two types of Catalan’s identities and d’Ocagne’s identity.
Y. Choo
semanticscholar   +1 more source

Data Classification Using Sardine Optimized Adversarial Generative Quaternion Network with Fibonacci Q-Matrix Hyperchaotic Encryption Schemes in Cloud

2025 International Conference on Networks and Cryptology (NETCRYPT)
In the era of cloud computing sensitive information management requires data classification to function securely across all industries. A protected framework for cloud-based data analytics with privacy preservation emerges through integrating ...
Kooragayala Sukeerthi, R. Kesavan, S. Kalaiselvan   +2 more
semanticscholar   +1 more source

On (p, q)-Fibonacci Quaternions and Their Binet Formulas, Generating Functions and Certain Binomial Sums [PDF]

Advances in Applied Clifford Algebras, 2017
WOS:000401669000029Formulas and sums involving many well-known special quaternion sequences (such as the Fibonacci, Pell, Jacobsthal quaternion sequences and so on) play important roles in various branches of science. Binet formulas, generating functions
İpek, Ahmet
exaly   +2 more sources

A Generalization of Fibonacci and Lucas Quaternions

Advances in Applied Clifford Algebras, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

Generalized dual Fibonacci quaternions

2016
Summary: In this paper, we defined the generalized dual Fibonacci quaternions. Also, we investigated the relations between different generalized dual Fibonacci quaternions. Furthermore, we gave the Binet's formulas and Cassini identities for these quaternions.
Yuce, Salim, Torunbalcı Aydın, Fügen
openaire   +2 more sources

Corrigendum to ``Bicomplex Fibonacci quaternions''

2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Fibonacci Sequences of Quaternions

The Fibonacci Quarterly, 2009
openaire   +2 more sources

On dual Fibonacci quaternions

2013
In this study, we defined the dual Fibonacci quaternions. We investigated some algebraic properties of these quaternions. We gave the Binet formula and the generating function of them. We also gave their matrix representations.
openaire   +1 more source

Secure Color Image Encryption Using 9D Hyperchaotic System, Fibonacci Matrices of order m and Symplectic Quaternion-Fractional Hahn Moments

SN Computer Science
R. Chaker, Abdelkarim Boua
semanticscholar   +1 more source

On the solutions of nonlinear higher order quaternion difference equations using p-th order generalized Fibonacci-type numbers

Journal of Applied Mathematics and Computation
Özge Arıbaş, C. Kızılateş
semanticscholar   +1 more source