Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Pauli Gaussian Fibonacci and Pauli Gaussian Lucas Quaternions
View through CrossRef
We have investigated new Pauli Fibonacci and Pauli Lucas quaternions by taking the components of these quaternions as Gaussian Fibonacci and Gaussian Lucas numbers, respectively. We have calculated some basic identities for these quaternions. Later, the generating functions and Binet formulas are obtained for Pauli Gaussian Fibonacci and Pauli Gaussian Lucas quaternions. Furthermore, Honsberger’s identity, Catalan’s and Cassini’s identities have been given for Pauli Gaussian Fibonacci quaternions.
Title: Pauli Gaussian Fibonacci and Pauli Gaussian Lucas Quaternions
Description:
We have investigated new Pauli Fibonacci and Pauli Lucas quaternions by taking the components of these quaternions as Gaussian Fibonacci and Gaussian Lucas numbers, respectively.
We have calculated some basic identities for these quaternions.
Later, the generating functions and Binet formulas are obtained for Pauli Gaussian Fibonacci and Pauli Gaussian Lucas quaternions.
Furthermore, Honsberger’s identity, Catalan’s and Cassini’s identities have been given for Pauli Gaussian Fibonacci quaternions.
Related Results
Pauli–Leonardo quaternions
Pauli–Leonardo quaternions
In this study, we define Pauli–Leonardo quaternions by taking the coefficients of the Pauli quaternions as Leonardo numbers. We give the recurrence relation, Binet formula, generat...
Some Properties of the Fibonacci Sequence
Some Properties of the Fibonacci Sequence
The purposes of this paper are; (a) to develop a relationship between subscripts of the symbols of Fibonacci and Lucas numbers and the numbers themselves; (b) to develop relationsh...
Automaquiagem com Lucas Vieira Funciona? | Automaquiagem com Lucas Vieira Site Oficial | Automaquiagem com Lucas Vieira é Confiável?
Automaquiagem com Lucas Vieira Funciona? | Automaquiagem com Lucas Vieira Site Oficial | Automaquiagem com Lucas Vieira é Confiável?
Automaquiagem com Lucas Vieira Funciona? | Automaquiagem com Lucas Vieira Site Oficial | Automaquiagem com Lucas Vieira é Confiável?
Automaquiagem com Lucas Vieira: Tudo o Que Vo...
On parametric types of Apostol Bernoulli-Fibonacci, Apostol Euler-Fibonacci, and Apostol Genocchi-Fibonacci polynomials via Golden calculus
On parametric types of Apostol Bernoulli-Fibonacci, Apostol Euler-Fibonacci, and Apostol Genocchi-Fibonacci polynomials via Golden calculus
<abstract><p>This paper aims to give generating functions for the new family of polynomials, which are called parametric types of the Apostol Bernoulli-Fibonacci, the A...
Hybrid Quaternions of Leonardo
Hybrid Quaternions of Leonardo
In this article, we intend to investigate the Leonardo sequence presenting the hybrid Leonardo quaternions. To explore Hybrid Quaternions of Leonardo, the priori, sequence of Leona...
Fibonacci Prime Labelling on the Class of Flower Graphs
Fibonacci Prime Labelling on the Class of Flower Graphs
Graph labeling is one of the significant topics in graph theory. One of its interesting variants is Fibonacci prime labeling, a special type of labeling that assigns Fibonacci numb...
Simulating Quantum Pauli Noise with Three Independently Controlled Pauli Gates
Simulating Quantum Pauli Noise with Three Independently Controlled Pauli Gates
A quantum Pauli noise is a nonunitary process that alters the state of a qubit by random application of the four Pauli operators. We investigate a four-qubit quantum circuit, consi...
Simultaneous identification of strong and weak interactions with Pauli energy, Pauli potential, Pauli force, and Pauli charge
Simultaneous identification of strong and weak interactions with Pauli energy, Pauli potential, Pauli force, and Pauli charge
Strong and weak interatomic interactions in chemical and biological systems are ubiquitous, yet how to identify them on a unified theoretical foundation is still not well establish...